Article citation information:
Sharma, M.K. Prioritization of overall sustainability factors of
cloud manufacturing through AHP and Fuzzy AHP approach. Scientific Journal of Silesian University of Technology. Series
Transport. 2023, 119,
37-61. ISSN: 0209-3324. DOI: https://doi.org/10.20858/sjsutst.2023.119.3.
Mohneesh Kumar SHARMA[1]
PRIORITIZATION OF OVERALL SUSTAINABILITY FACTORS OF CLOUD MANUFACTURING
THROUGH AHP AND FUZZY AHP APPROACH
Summary. In this
global competitive environment, with the recent advancement in information and
communication technologies, the industries are adopting new strategies to
sustain. Cloud manufacturing is a new technology that utilizes data analytics
for better decision-making resulting in more productive, cost, and
energy-efficient operations. Increasing awareness towards a clean environment
and optimum utilization of resources in manufacturing motivate us to study
cloud manufacturing in the context of sustainability. Therefore, a significant
number of social, environmental, and economic factors of cloud manufacturing
are identified through literature review, and experts’ opinions and
prioritization of these factors are obtained through the AHP
and Fuzzy AHP methods. As per the final results
obtained, “Efficient use of resources” is the most significant
factor for the adoption of cloud manufacturing process and “Remote
material monitoring” is the least significant factor amongst all the
factors taken under consideration. The results are found to be consistent and
accurate as per the value of consistency ratio. And the percentage obtained for
social, environmental, and economic factors proves the cloud manufacturing
process to be a sustainable manufacturing process.
Keywords: Cloud
manufacturing, economic factors, social factors environmental factors, AHP, Fuzzy AHP
1. INTRODUCTION
Manufacturing industries are undergoing a
dynamic change due to the vital role played by collaboration, cost
effectiveness, innovation, and scalability, pay to use service and
sustainability [1]. Increase in usage of the internet has led to the flow of
ideas which has shifted the manufacturing paradigm from being
production-oriented to service-oriented or customer orientation [2,3]. The recent advancement in technology, especially in the
field of electronics, computers and networking have a great impact on
manufacturing. Usage of high-speed Internet, Big data, IoT
(Internet of Things), Cloud computing has influenced manufacturing and has also
led to the evolution of a new class of manufacturing known as Cloud
manufacturing. Cloud manufacturing is an integration of manufacturing, cloud
computing, networking, internet, big data, IoT, etc.
to have economical and efficient manufacturing [4].
Alessandro Simeone et
al. performed a case study of sheet metal industry applied the cloud
manufacturing model and found
out the increased resource utilization [5]. Yingfeng et al. worked on dynamic
optimization scheduling in cloud manufacturing, which minimizes the energy
consumption, increases the efficiency of system and thereby reduces the total
costs [6]. Tin Chen exclusively calculated the cost-effectiveness of the model
with fuzzy method. [7]. Sicheng Liu et al.
implemented cloud manufacturing model in 3D printing and applied game theory in
scheduling which reduces the overall cost and increases the efficiency of
system as compared to earlier traditional method since cloud manufacturing
efficiency and cost-effectiveness is studied in many papers proves the economic
violability of the model, but few dealt with social and environmental factors.
This gap provides the motivation to identify the overall factors that
contribute to adoption of the model, thus presenting the wholesome impact of the model.
The use of RFIDs and dynamic scheduling for transportation of raw
material and delivery leads to optimization of routing, resulting in lower
incurred costs and therefore reduced environmental impact. To determine the
percentage of social, environmental, and economic factors, calculations were
performed.
To conduct research, a rigorous literature review on tile cloud manufacturing was conducted, which helped identify the relevant factors. That was followed by a survey to gather input from experts. Then these inputs were gathered in AHP and Fuzzy AHP to get the weightage of the factors, and successively a comparison was made between the results for validation.
The contribution of the paper is as
follows: Since there are only a
limited number of studies on the overall factors in context of cloud
manufacturing, all three factors, i.e., social, environmental, and economic
factors have been discussed in the context of cloud manufacturing. A total of
19 overall factors, including sustainability factors, have been identified in
this study. The
identified factors are as follows: Conducive social network; Human comfort; Human effort; Human
health; Human safety; Remote material monitoring; Fuel reduction; Waste
reduction; Efficient machine usage; Environment advices; Instant usage and
planning; Detection of natural disaster; Reduction in carbon footprints;
Dynamic flexibility; efficiently using resources; Instant Usage/Pay-as-use;
Less Cost incurred; Less Inventory and Optimization. With the help of AHP model, prioritization of the aforementioned factors is
obtained. By assigning weights and performing pairwise comparisons, the model
allows us to identify the most influential factors as well as the least
influential factors in the context of cloud manufacturing adoption.
2. LITERATURE REVIEW
In this
section, all the factors that affect the adoption of cloud manufacturing viz.
social, environmental, and economic are studied and listed in the table. The
objective of the study is to prioritize all factors of cloud manufacturing for
understanding the three layers of the hierarchical approach used shown in the Figure1 and conclude whether it approaches sustainability
with the result obtained. To reach the main objective the literature review is
performed related to social, environmental and economic factors of cloud
manufacturing.
Prioritization of Cloud manufacturing factors
Economic Factors Environmental Factors Social Factors
·
Conducive
Social Network ·
Human comfort ·
Human effort ·
Human Health ·
Human safety ·
Remote Material
Monitoring ·
Dynamic
Flexibility ·
Efficiently
using resources ·
Instant Usage/Pay-as-use ·
Less Cost
incurred ·
Less Inventory ·
Optimization ·
Fuel
reduction ·
Waste reduction ·
Efficient
machines usage ·
Environment advices ·
Instant usage
and planning ·
Detection
of natural disaster ·
Reduction
in carbon footprints
Fig. 1. Hierarchy of factors
2.1. Social Factors
1.
Conducive Social
Network: Sharing of ideas and knowledge about cloud platform leads to better
understanding and innovation [8]. Worthy advice from renowned researchers and
experts is easily accessible. Information about the environment can be accessed
through social networking sites like International Institute for sustainable
development (IISD, iisd.org), United Nations
Sustainable Development (un.org), and sustainable communities online
(sustainable. org). These websites,
supported further with online groups for discussion, display events or conferences
to be held on the latest issues on sustainability. They provide the platform
for individuals to express their views through blogs. [9].
2.
Human comfort: the
increased usage of the Internet of things (lsuch as
RFIDs), networking, and monitoring, has provided flexibility to human resource
to work from anywhere, anytime leading to greater comfort for individuals.
[10].
3.
Human effort:
better solutions provided online with high-speed Internet reduce human effort
and calculations. [11, 12].
4.
Human Health:
Reduced Noise level and dust-free environment. Author Fabio Gregori
[13] has performed the experiment with a real cloud manufacturing model and
found that noise dust level is reduced in the production area.
5.
Human safety: The
opportunity to have fully automated manufacturing and continuous feedback
process leads to an increase in human safety. Author Fabio Gregori
[13] has performed the experiment with a real cloud manufacturing model and has
found increased human safety and health.
6.
Remote Material
Monitoring: Monitoring of material by humans through RFIDs has become easy and
dynamic. RFIDs are used for
automatic identification of hard resources, which is particularly useful in
supply chain management (SCM) for monitoring
logistics [15].
Table 1 is used to
list all the social factors of cloud manufacturing discussed above for
convenience in reading and for usage in the mathematical section. It indicates
all the factors related to human that fall under the social aspect of
sustainability.
Tab. 1
Social factors for sustainable Cloud
manufacturing
S.No |
Social factors |
Reference |
S_1 |
Conducive Social Network |
[8.9] |
S_2 |
Human comfort |
[10] |
S_3 |
Human effort |
[11,12] |
S_4 |
Human Health |
[13] |
S_5 |
Human safety |
[13] |
S_6 |
Remote Material Monitoring |
[15] |
2.2. Environmental Factors
1.
Fuel reduction:
Optimized transportation route for material movements reduces fuel consumption.
Consequently, it results in an environment-friendly method. The centralized
pooling and management help in energy saving and emission reduction [15].
2.
Waste reduction: Dynamic planning in cloud manufacturing enables a
reduction in scrap and waste. An example
provided by the author [8] explores the
utilization of waste through CMfg, specifically
focusing on the pyrolysis of oil.
3.
Efficient machine
usage: Access to high-standard, fully automated machines that
consume less energy results in reduced waste. In the discussion section of the
article (14, 15), it is highlighted that the application of the cloud
manufacturing model led to increased resource utilization and decreased
development and management costs in CA-2. A report released by the China
Software Testing Centre, referring to CMfg projects
in China, states that there has been a 5% increase, equivalent to a cost saving
of 10 million RMB.
4.
Environment
advice: Expert advice regarding the environment is readily
available. Websites like International Institute for Sustainable
Development (IISD, iisd.org), United Nations
Sustainable Development (un.org) provide the latest information on
sustainability, including current rules and regulations. Individual and group
advice options can be obtained through these sites. [9].
5.
Instant usage and
planning: Use when required and
prior dynamic scheduling would finally lead to less scrap and better
utilization of resources [4].
6.
Detection of
natural disaster: Cloud computing infrastructure helps in the early detection
of any kind of environmental disaster with the help of different types of
sensors and RFIDs [16] attached to products at a remote location aid in the early detection of environmental disasters.
This information can then be utilized to make informed decisions [9].
7. Reduction in carbon footprints: Computation and data analysis in manufacturing
contribute to the reduction of carbon footprints. Akshat
Singh [17] conducted an experiment highlighting how cloud manufacturing can
effectively reduce carbon footprints in the beef supply chain.
Table 2 is used to list all environmental factors of the cloud
manufacturing discussed above. Here all the factors related to environment which
come under the environmental part of sustainability are listed
Tab. 2
Environmental factors for sustainable Cloud
manufacturing
S.No |
Environmental factors |
Reference |
En_1/S_7 |
Fuel reduction |
[15] |
En_2/S_8 |
Waste reduction |
[8] |
En_3/S_9 |
Efficient machines usage |
[14,15] |
En_4/S_10 |
Environment advices |
[9] |
En_5/S_11 |
Instant usage and planning |
[4] |
En_6/S_12 |
Detection of natural disaster |
[9,16] |
En_7/_S_13 |
Reduction in carbon footprints |
[17] |
2.3 Economic Factors
1.
Dynamic
Flexibility: The ability to make adjustments and alterations at any
time in the manufacturing process can lead to cost and time savings. CMfg has provided this
flexibility [18], allowing for changes in manufacturing based on the current
market situation [19]. Another example of the flexibility of CMfg model is provided by sheet metal forming operation
[20] which allows for greater flexibility during operation.
2.
Efficient use of
resources: Optimized algorithms at every stage reduce the total cost incurred
in the product. The centralized pooling and management help in energy saving
and emission reduction [14, 15, 21]. The author
[22] conducted an experiment on the manufacturing model, specifically focusing
on wafer production. Runtime energy consumption data provided by software was analyzed to improve overall energy efficiency in
production.
3.
Instant
Usage/Pay-as-use: Using services when needed
provides an economic advantage. Users can get the
services online and pay only for the time they use, known as “pay and
go” [23] which automatically reduces costs.
4.
Less Cost
incurred: Fixed cost of product manufacturing is reduced to almost zero. For
SMEs, financing a project is the prime concern. Cloud manufacturing provides manufacturing units and production
facilities through a cloud platform, eliminating the need to purchase
manufacturing units or land. The pay-as-per-use model further reduces fixed
costs for SMEs, effectively bringing them close to zero.
5.
Less Inventory:
Less WIP Inventory and Inventory maintenance become
easy. [24].
6.
Optimization:
Optimized transportation route for material movement results in less money
incurred in the indirect cost of the product, finally saving the money. AI techniques
enable intelligent processing and decision-making [15].
Table 3
is used to list all economic factors of the cloud manufacturing discussed
above. Here all the factors related to cost which come under the economic part
of sustainability are listed.
Tab. 3
Economic factors for sustainable
Cloud manufacturing
S.No |
Economic factors |
Reference |
Ec_1/S_14 |
Dynamic Flexibility |
[18,19] |
Ec_2/S_15 |
Efficiently using resources |
[14,15,21,22] |
Ec_3/S_16 |
Instant Usage/Pay-as-use |
[23] |
Ec_4/S_17 |
Less Cost incurred |
|
Ec_5/S_18 |
Less Inventory |
[24] |
Ec_6/S_19 |
Optimization |
[15] |
3. RESEARCH METHODOLOGY
The cloud manufacturing
concept is still very new so finding experts in this field is difficult. Even
then, a total of 24 experts from industry and academics (8 Industrialists, 8
mechanical engineering academicians, 4 computer science academicians, and 4
industrial engineering academicians) were identified. After discussion, a total
of 19 factors were finalized. Detailed questionnaires (Appendix-1) were sent to
these experts for filling. After collecting all the questionnaires an average
is obtained to get the final average pairwise matrix. Then applied two approaches AHP and Fuzzy AHP to obtain the
weights and ranks of factors. Finally, consistency ratio is obtained through
the AHP approach and comparison are done among AHP and Fuzzy AHP results for
accuracy and validation of results. Figure 2 is
a flowchart showing how the research is conducted from the initial step of
finding the related articles on cloud manufacturing on google scholar and
Scopus database to segregate the relevant concern papers. Then identify the
factors with the inputs from experts and further apply the mathematical tool AHP and Fuzzy AHP for ranking
these factors. Finally, a comparison of results was obtained and
validated.
Comparison of Result obtained Validation Segregation of relevant
research papers concern to study Survey done through Questionnaire Input from industry and
academic experts (Filling Questionnaire) Literature review on tiles
“cloud manufacturing” cloud manufacturing efficiency”,
cloud manufacturing social”, cloud manufacturing environmental,
“cloud manufacturing sustainability” on Google scholar and
Scopus data base Identifications of all the
factors related to cloud manufacturing Application of AHP Inputs from author,
industrialist and academician Application of Fuzzy AHP
Fig 2.
Research methodology flowchart
3.1. AHP process
AHP is one of the MCDM
method developed by Saaty [25] .AHP
can be applied to many sectors in the industry for selection, decision-making,
and prioritization. Hu [26] used a selection of manufacturers in cloud
manufacturing. Sevinc
[28] applied to difficulties that SMEs facing in transition to Industry
4.0. Mian [29] applied SWOT-AHP
to quantify and rank the opportunities and challenges for sustainability
education in Industry 4.0. Prioritization of
challenges to Industry 4.0 for the supply chain is obtained with the help of AHP [30]. In this article, the Analytic
Hierarchy Process (AHP), one of the popular MCDM techniques, is used to prioritize the sustainability
factors in the context of cloud manufacturing. To gauge whether the results
obtained are robust and consistent enough, a consistency ratio is obtained for
the validation. For the stepwise application of the method, the sequential
procedure is given below.
Steps followed to apply AHP approach are as follows:
Step 1: Develop a structural hierarchy.
Step 2: Develop pairwise comparison matrix.
Assuming n attributes, a pairwise comparison of
attribute i with attribute j a square matrix is
obtained.
a11 …….. a1j…………. a1n
Aij= ai1………. aij………… a1j
an1……… anj……… .ann
Step 3: Develop normalised
decision matrix.
cij= aij /
where i=1,2,3,4…….
n and j=1,2,3,4…………. n
Step 4: Develop normalised
decision matrix
wi =
Step 5: Calculate
eigenvector & row matrix
E = Nthrootvalue
/ Nthrootvalue
Row matrix =
Step 6: Calculate the maximum eigenvalue, λmax
λmax = Rowmatrix / E (4)
Step 7: Obtain the
consistency index (CI) & consistency ratio (CR).
CI = (λmax - n) / (n-1) (5)
CR =
CI / RI (6)
Tab. 4
Random Index
n |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
RI |
0 |
0 |
0.85 |
0.9 |
1.12 |
1.24 |
1.32 |
1.41 |
1.45 |
1.51 |
Where n & RI denote the order of matrix & Randomly Generated
Consistency Index respectively.
3.2. Fuzzy AHP process
Fuzzy AHP can be
applied to many sectors in the industry for selection, decision-making, and
prioritization. Usama Awan et al. used it to prioritize quantum computing
challenges in software industry [31]. Mustafa et al. applied fuzzy AHP and DEA approach for evaluation of operational
efficiencies of Turkish airports [32]. Esra et al.
used AHP approach for risk assessment of renewable
energy investment [33]. In this paper Fuzzy Analytic Hierarchy Process (FAHP), is used to prioritize the sustainability factors in
the context of cloud manufacturing. Steps for procedure are given below.
Step 1: Develop a pairwise comparison
matrix
In matrix below
Tab.
5
Fuzzy scale of relative importance
|
Scale of relative importance |
Fuzzy scale of relative importance |
Equal importance |
1 |
(1,1,1) |
Moderate importance |
3 |
(2,3,4) |
Strong importance |
5 |
(4,5,6) |
Very strong importance |
7 |
(5,6,7) |
Extreme importance |
9 |
(7,8,9) |
Step 2: If there is more than one decision
maker than convert to single triangular fuzzy number by taking average of all
to get final pairwise matrix below.
Step 4: Geometric mean fuzzy values of each criteria is calculated.
Where i= 1, 2, 3…n.
Step 5: Find the fuzzy weights of criterion Wi.
wi = si x (s1 x s2
x s3……sn )-1 (9)
Wi = (lwi ,mwi, uwi)
Step 6: Defuzzification of
weight obtained.
Mi = (lwi +,mwi
+ uwi) / 3 (10)
4. RESULTS OBTAINED
AND DISCUSSION
In this section, we discuss the prioritization of
overall factors and the consistency of results obtained. Consistency Ratio is obtained for the
validation of the result. After averaging all the individual matrices obtained
from experts, a final Average pairwise comparison matrix is obtained followed
by the procedure of the AHP and Fuzzy AHP approach given in section 3. Microsoft Excel tool is used
for all matrices calculations to obtain error-free, precise, and accurate
results.
After the Average Pairwise Comparison Matrix is
obtained for factors as shown in Table 6 normalization is done to get the
Normalised Decision Matrix (Table 7). And further steps are followed as per AHP approach to obtain a Weighted Normalised decision
matrix (Table 8) for weights of factors. Finally, ranking is done based on
weights obtained. (Table 9).
As per the final results obtained Efficient use of
resources (S_15) has the highest positive value
therefore it is the most significant factor. Instant usage/Pay-as-use(S-16),
Reduction in carbon footprints (S_13), and
Optimization (S_19) secured the 2nd, 3rd
and 4th ranks in the category as per their weights obtained. Dynamic Flexibility (S_14), Less Cost incurred (S_17),
Efficient machine usage (S_9), Fuel reduction (S_7), Human safety (S_5) secured
5th, 6th, 7th, 8th and 9th ranks
as per the weights obtained. With the minor difference in weights Instant usage
and planning (S_11), Human comfort (S_2), Human effort (S_3),
Detection of human disaster (S_12) obtained 14th
15th 16th, and 17th ranks. Remote material monitoring (S_6) factor obtained the lowest weight and ranks last,
indicating its least significance among all the factors. The ranking is shown
in Table 9. Pie chart shown in figure 3 depicts weights obtained of factors and figure
4 shows the bar chart of rank for AHP approach.
Table 10 is used to calculate the Consistency ratio.
The obtained value of λmax (Table 9) and Random Index (Table 4) is
finally used to calculate the value of Consistency Ratio (CR). The obtained value of CR is .084 which
is less than .10 highlighting that the results obtained is accurate and
consistent.
Tab. 6
Average Pairwise Comparison Matrix – part 1
|
S_1 |
S_2 |
S_3 |
S_4 |
S_5 |
S_6 |
S_7 |
S_8 |
S_9 |
S_10 |
S_11 |
S_12 |
S_13 |
S_1 |
1 |
0.33 |
0.33 |
0.33 |
0.33 |
3 |
0.33 |
0.33 |
0.2 |
0.33 |
0.33 |
1 |
0.33 |
S_2 |
3 |
1 |
1 |
0.33 |
0.33 |
3 |
0.33 |
0.33 |
0.2 |
0.33 |
1 |
3 |
0.33 |
S_3 |
3 |
1 |
1 |
0.33 |
0.33 |
3 |
0.33 |
0.33 |
0.2 |
0.33 |
1 |
3 |
0.33 |
S_4 |
3 |
3 |
3 |
1 |
1 |
3 |
0.33 |
0.33 |
0.2 |
0.33 |
1 |
3 |
1 |
S_5 |
3 |
3 |
3 |
1 |
1 |
3 |
1 |
1 |
1 |
1 |
1 |
3 |
1 |
S_6 |
0.33 |
0.33 |
0.33 |
0.33 |
0.33 |
1 |
0.33 |
0.33 |
0.33 |
0.33 |
0.33 |
1 |
0.33 |
S_7 |
3 |
3 |
3 |
3 |
1 |
3 |
1 |
1 |
0.33 |
3 |
3 |
3 |
1 |
S_8 |
3 |
3 |
3 |
3 |
1 |
3 |
1 |
1 |
0.33 |
3 |
1 |
1 |
0.33 |
S_9 |
5 |
5 |
5 |
5 |
1 |
3 |
3 |
3 |
1 |
3 |
3 |
3 |
1 |
S_10 |
3 |
3 |
3 |
3 |
1 |
3 |
0.33 |
0.33 |
0.33 |
1 |
1 |
1 |
0.33 |
S_11 |
3 |
1 |
1 |
1 |
1 |
3 |
0.33 |
1 |
0.33 |
1 |
1 |
1 |
0.33 |
S_12 |
1 |
0.33 |
0.33 |
0.33 |
0.33 |
1 |
0.33 |
1 |
0.33 |
1 |
1 |
1 |
0.33 |
S_13 |
3 |
3 |
3 |
1 |
1 |
3 |
1 |
3 |
1 |
3 |
3 |
3 |
1 |
S_14 |
5 |
5 |
5 |
3 |
3 |
5 |
3 |
3 |
3 |
5 |
5 |
5 |
0.33 |
S_15 |
7 |
7 |
7 |
5 |
5 |
7 |
5 |
5 |
5 |
7 |
7 |
7 |
0.2 |
S_16 |
5 |
5 |
5 |
3 |
3 |
5 |
5 |
5 |
5 |
5 |
5 |
5 |
0.33 |
S_17 |
5 |
5 |
5 |
3 |
3 |
5 |
3 |
3 |
3 |
3 |
3 |
3 |
0.33 |
S_18 |
3 |
3 |
3 |
1 |
1 |
1 |
1 |
1 |
0.33 |
1 |
1 |
1 |
0.33 |
S_19 |
3 |
3 |
3 |
3 |
3 |
5 |
3 |
3 |
3 |
3 |
3 |
3 |
3 |
Tab. 6
Average Pairwise Comparison Matrix – part 2
|
S_14 |
S_15 |
S_16 |
S_17 |
S_18 |
S_19 |
S_1 |
0.2 |
0.142 |
0.2 |
0.2 |
0.33 |
0.33 |
S_2 |
0.2 |
0.142 |
0.2 |
0.2 |
0.33 |
0.33 |
S_3 |
0.2 |
0.142 |
0.2 |
0.2 |
0.33 |
0.33 |
S_4 |
0.33 |
0.2 |
0.33 |
0.33 |
1 |
0.33 |
S_5 |
0.33 |
0.2 |
0.33 |
0.33 |
1 |
0.33 |
S_6 |
0.2 |
0.142 |
0.2 |
0.2 |
1 |
0.2 |
S_7 |
0.33 |
0.2 |
0.2 |
0.33 |
1 |
0.33 |
S_8 |
0.33 |
0.2 |
0.2 |
0.33 |
1 |
0.33 |
S_9 |
0.33 |
0.2 |
0.2 |
0.33 |
3 |
0.33 |
S_10 |
0.2 |
0.142 |
0.2 |
0.33 |
1 |
0.33 |
S_11 |
0.2 |
0.142 |
0.2 |
0.33 |
1 |
0.33 |
S_12 |
0.2 |
0.142 |
0.2 |
0.33 |
1 |
0.33 |
S_13 |
3 |
5 |
3 |
3 |
3 |
0.33 |
S_14 |
1 |
1 |
0.33 |
1 |
3 |
1 |
S_15 |
1 |
1 |
1 |
1 |
3 |
1 |
S_16 |
3 |
1 |
1 |
1 |
3 |
1 |
S_17 |
1 |
1 |
1 |
1 |
3 |
1 |
S_18 |
0.33 |
0.33 |
0.2 |
0.33 |
1 |
0.33 |
S_19 |
1 |
1 |
1 |
1 |
3 |
1 |
Tab. 7
Normalized
decision matrix – part 1
|
S_1 |
S_2 |
S_3 |
S_4 |
S_5 |
S_6 |
S_7 |
S_8 |
S_9 |
S_10 |
S_11 |
S_12 |
S_13 |
S_1 |
0.02 |
0.01 |
0.01 |
0.01 |
0.01 |
0.05 |
0.01 |
0.01 |
0.01 |
0.01 |
0.01 |
0.02 |
0.03 |
S_2 |
0.05 |
0.02 |
0.02 |
0.01 |
0.01 |
0.05 |
0.01 |
0.01 |
0.01 |
0.01 |
0.02 |
0.06 |
0.03 |
S_3 |
0.05 |
0.02 |
0.02 |
0.01 |
0.01 |
0.05 |
0.01 |
0.01 |
0.01 |
0.01 |
0.02 |
0.06 |
0.03 |
S_4 |
0.05 |
0.05 |
0.05 |
0.03 |
0.04 |
0.05 |
0.01 |
0.01 |
0.01 |
0.01 |
0.02 |
0.06 |
0.08 |
S_5 |
0.05 |
0.05 |
0.05 |
0.03 |
0.04 |
0.05 |
0.03 |
0.03 |
0.04 |
0.02 |
0.02 |
0.06 |
0.08 |
S_6 |
0.01 |
0.01 |
0.01 |
0.01 |
0.01 |
0.02 |
0.01 |
0.01 |
0.01 |
0.01 |
0.01 |
0.02 |
0.03 |
S_7 |
0.05 |
0.05 |
0.05 |
0.08 |
0.04 |
0.05 |
0.03 |
0.03 |
0.01 |
0.07 |
0.07 |
0.06 |
0.08 |
S_8 |
0.05 |
0.05 |
0.05 |
0.08 |
0.04 |
0.05 |
0.03 |
0.03 |
0.01 |
0.07 |
0.02 |
0.02 |
0.03 |
S_9 |
0.08 |
0.09 |
0.09 |
0.13 |
0.04 |
0.05 |
0.1 |
0.09 |
0.04 |
0.07 |
0.07 |
0.06 |
0.08 |
S_10 |
0.05 |
0.05 |
0.05 |
0.08 |
0.04 |
0.05 |
0.01 |
0.01 |
0.01 |
0.02 |
0.02 |
0.02 |
0.03 |
S_11 |
0.05 |
0.02 |
0.02 |
0.03 |
0.04 |
0.05 |
0.01 |
0.03 |
0.01 |
0.02 |
0.02 |
0.02 |
0.03 |
S_12 |
0.02 |
0.01 |
0.01 |
0.01 |
0.01 |
0.02 |
0.01 |
0.03 |
0.01 |
0.02 |
0.02 |
0.02 |
0.03 |
S_13 |
0.05 |
0.05 |
0.05 |
0.03 |
0.04 |
0.05 |
0.03 |
0.09 |
0.04 |
0.07 |
0.07 |
0.06 |
0.08 |
S_14 |
0.08 |
0.09 |
0.09 |
0.08 |
0.11 |
0.08 |
0.1 |
0.09 |
0.12 |
0.12 |
0.12 |
0.1 |
0.03 |
S_15 |
0.11 |
0.13 |
0.13 |
0.13 |
0.18 |
0.11 |
0.17 |
0.15 |
0.2 |
0.17 |
0.17 |
0.14 |
0.02 |
S_16 |
0.08 |
0.09 |
0.09 |
0.08 |
0.11 |
0.08 |
0.17 |
0.15 |
0.2 |
0.12 |
0.12 |
0.1 |
0.03 |
S_17 |
0.08 |
0.09 |
0.09 |
0.08 |
0.11 |
0.08 |
0.1 |
0.09 |
0.12 |
0.07 |
0.07 |
0.06 |
0.03 |
S_18 |
0.05 |
0.05 |
0.05 |
0.03 |
0.04 |
0.02 |
0.03 |
0.03 |
0.01 |
0.02 |
0.02 |
0.02 |
0.03 |
S_19 |
0.05 |
0.05 |
0.05 |
0.08 |
0.11 |
0.08 |
0.1 |
0.09 |
0.12 |
0.07 |
0.07 |
0.06 |
0.25 |
Tab. 7
Nomalized decision matrix – part 2
|
S_14 |
S_15 |
S_16 |
S_17 |
S_18 |
S_19 |
S_1 |
0.01 |
0.01 |
0.02 |
0.02 |
0.01 |
0.03 |
S_2 |
0.01 |
0.01 |
0.02 |
0.02 |
0.01 |
0.03 |
S_3 |
0.01 |
0.01 |
0.02 |
0.02 |
0.01 |
0.03 |
S_4 |
0.02 |
0.02 |
0.03 |
0.03 |
0.01 |
0.03 |
S_5 |
0.02 |
0.02 |
0.03 |
0.03 |
0.01 |
0.03 |
S_6 |
0.01 |
0.01 |
0.02 |
0.02 |
0.01 |
0.02 |
S_7 |
0.02 |
0.02 |
0.02 |
0.03 |
0.01 |
0.03 |
S_8 |
0.02 |
0.02 |
0.02 |
0.03 |
0.01 |
0.03 |
S_9 |
0.02 |
0.02 |
0.02 |
0.03 |
0.01 |
0.03 |
S_10 |
0.01 |
0.01 |
0.02 |
0.03 |
0.01 |
0.03 |
S_11 |
0.01 |
0.01 |
0.02 |
0.03 |
0.01 |
0.03 |
S_12 |
0.01 |
0.01 |
0.02 |
0.03 |
0.01 |
0.03 |
S_13 |
0.22 |
0.41 |
0.29 |
0.25 |
0.01 |
0.03 |
S_14 |
0.07 |
0.08 |
0.03 |
0.08 |
0.03 |
0.11 |
S_15 |
0.07 |
0.08 |
0.1 |
0.08 |
0.03 |
0.11 |
S_16 |
0.22 |
0.08 |
0.1 |
0.08 |
0.03 |
0.11 |
S_17 |
0.07 |
0.08 |
0.1 |
0.08 |
0.03 |
0.11 |
S_18 |
0.02 |
0.03 |
0.02 |
0.03 |
0.01 |
0.03 |
S_19 |
0.07 |
0.08 |
0.1 |
0.08 |
0.03 |
0.11 |
Tab. 8
Weighted normalised
decision matrix
|
W |
WV |
S_1 |
0.308 |
0.016 |
S_2 |
0.420 |
0.021 |
S_3 |
0.420 |
0.021 |
S_4 |
0.679 |
0.032 |
S_5 |
0.799 |
0.037 |
S_6 |
0.287 |
0.013 |
S_7 |
0.916 |
0.043 |
S_8 |
0.763 |
0.035 |
S_9 |
1.347 |
0.059 |
S_10 |
0.633 |
0.030 |
S_11 |
0.511 |
0.024 |
S_12 |
0.379 |
0.018 |
S_13 |
2.332 |
0.102 |
S_14 |
1.858 |
0.085 |
S_15 |
2.610 |
0.120 |
S_16 |
2.372 |
0.107 |
S_17 |
1.784 |
0.081 |
S_18 |
0.631 |
0.029 |
S_19 |
1.940 |
0.087 |
Tab.
9
Ranking matrix
|
Weight |
Rank |
S_1 |
0.016 |
18 |
S_2 |
0.021 |
15 |
S_3 |
0.021 |
16 |
S_4 |
0.032 |
11 |
S_5 |
0.037 |
9 |
S_6 |
0.013 |
19 |
S_7 |
0.043 |
8 |
S_8 |
0.035 |
10 |
S_9 |
0.059 |
7 |
S_10 |
0.030 |
12 |
S_11 |
0.024 |
14 |
S_12 |
0.018 |
17 |
S_13 |
0.102 |
3 |
S_14 |
0.085 |
5 |
S_15 |
0.120 |
1 |
S_16 |
0.107 |
2 |
S_17 |
0.081 |
6 |
S_18 |
0.029 |
13 |
S_19 |
0.087 |
4 |
Tab. 10.
For Calculation of Consistency
|
W |
WV |
R=W/WV |
S_1 |
0.308 |
0.016 |
19.72 |
S_2 |
0.420 |
0.021 |
19.54 |
S_3 |
0.420 |
0.021 |
19.54 |
S_4 |
0.679 |
0.032 |
20.95 |
S_5 |
0.799 |
0.037 |
21.47 |
S_6 |
0.287 |
0.013 |
22.58 |
S_7 |
0.916 |
0.043 |
21.31 |
S_8 |
0.763 |
0.035 |
21.51 |
S_9 |
1.347 |
0.059 |
22.67 |
S_10 |
0.633 |
0.030 |
21.14 |
S_11 |
0.511 |
0.024 |
20.93 |
S_12 |
0.379 |
0.018 |
21.60 |
S_13 |
2.332 |
0.102 |
22.83 |
S_14 |
1.858 |
0.085 |
21.84 |
S_15 |
2.610 |
0.120 |
21.79 |
S_16 |
2.372 |
0.107 |
22.10 |
S_17 |
1.784 |
0.081 |
21.91 |
S_18 |
0.631 |
0.029 |
21.72 |
S_19 |
1.940 |
0.087 |
22.18 |
Λmax = 21.42 RI = 1.59
CI
= (21.42-19) / 18 = .134 CR = .134 / 1.59 = .084
In above values obtained. λmax is
the eigen value of the final matrix obtained from Tab.10. RI is a random index which is obtained from Tab. 4
as the number of factors is 19 so corresponding to number to value 1.59 is taken for calculation. CI is Consistency index which is
obtained by applying equation 5. Finally, CR is the ratio of consistency index
to random index which signifies how much observed value and calculated value
are related, and by applying equation 6 and its came out to.084
which means observed value is very close to calculated value so the result
obtained is accurate
Figure 3 below shows the different weights of
factors obtained by the AHP process Efficiently using
resources (S_15)
got the highest, 0.120 and Remote material monitoring (S_6) got the least, 0.013. From figure 3 also
shows that he percentage of social, environmental, and economical factors of
the sustainability are 15%, 32% and 51% respectively. Figure 4 shows the rank
of the factors obtained through AHP where Efficiently using resources (S_15) got the 1st and Remote material monitoring (S_6) got the 19th.
Fig. 3. AHP weight obtained Fig.
4. AHP rank obtained
After the Average Pairwise
Comparison Matrix is obtained for factors, the fuzzification
of each cell in the matrix is done to obtain the Fuzzified
Average Pairwise Comparison Matrix as shown in Table 11. Then step 4 of section
3.2 is used to calculate the fuzzified geometric mean
value subsequently fuzzy weight are obtained shown in Table 12. And finally, defuzzication of weight done to obtained weight and rank of
factors. (Table 13).
As per the final results obtained
Efficient use of resources (S_15) has the highest
positive value therefore it is the most significant factor. Instant
usage/Pay-as-use(S-16), Optimization (S_19), and
Dynamic Flexibility (S_14), secured the 2nd,
3rd and 4th ranks in the category as per their weights obtained.
Less Cost incurred (S_17), Reduction in carbon
footprints (S_13), Efficient
machine usage (S_9), Fuel reduction (S_7), Human safety (S_5) secured
5th, 6th, 7th, 8th and 9th ranks
as per the weights obtained. With the minor difference in weights Instant usage
and planning (S_11), Human effort (S_3), Human comfort (S_2),
Detection of human disaster (S_12) obtained 14th
15th 16th, and 17th ranks. Remote material monitoring (S_6) factor obtained the lowest weight and ranks last,
indicating its least significance among all the factors. The ranking is shown
in Table 13. Pie chart shown in figure 5 depicts weights obtained of factors
and figure 6 shows the bar chart of rank for AHP
approach.
Tab. 11
Fuzzified average pairwise comparison matrix – part 1
|
S_1 |
S_2 |
S_3 |
S_4 |
S_5 |
S_6 |
S_1 |
(1,1,1) |
(.26,.34,.48) |
(.27,.34,.49) |
(.26,.34,.48) |
(.25,.4,.5) |
(2,3,4) |
S_2 |
(2,3,4) |
(1,1,1) |
(1,1,1) |
(.27,.34,.49) |
(.24,.33,.47) |
(2,3,4) |
S_3 |
(2,3,4) |
(1,1,1) |
(1,1,1) |
(.24,.33,.47) |
(.26,.34,.48) |
(2,3,4) |
S_4 |
(2,3,4 |
(2,3,4) |
(2,3,4) |
(1,1,1) |
(1,1,1) |
(2,3,4) |
S_5 |
(2,3,4) |
(2,3,4) |
(2,3,4) |
(1,1,1) |
(1,1,1) |
(2,3,4) |
S_6 |
(.27,.34,.49) |
(.25,.34,.47) |
(.27,.34,.49) |
(.24,.33,.47) |
(.26,.34,.48) |
(1,1,1) |
S_7 |
(2,3,4) |
(2,3,4) |
(2,3,4) |
(2,3,4) |
(1,1,1) |
(2,3,4) |
S_8 |
(2,3,4) |
(2,3,4) |
(2,3,4) |
(2,3,4) |
(1,1,1) |
(2,3,4) |
S_9 |
(4,5,6) |
(4,5,6) |
(4,5,6) |
(4,5,6) |
(1,1,1) |
(2,3,4) |
S_10 |
(2,3,4) |
(2.3.4) |
(2,3,4) |
(2,3,4) |
(1,1,1) |
(2,3,4) |
S_11 |
(2,3,4) |
(1,1,1) |
(1,1,1) |
(1,1,1) |
(1,1,1) |
(2,3,4) |
S_12 |
(1,1,1) |
(.25,.4,.5) |
(.27,.34,.49) |
(.26,.34,.48) |
(.26,.34,.48) |
(1,1,1) |
S_13 |
(2,3,4) |
(2,3,4) |
(2,3,4) |
(1,1,1) |
(1,1,1) |
(2,3,4) |
S_14 |
(4,5,6) |
(4,5,6) |
(4,5,6) |
(2,3,4) |
(2,3,4) |
(4,5,6) |
S_15 |
(6,7,8) |
(6,7,8) |
(6,7,8) |
(4,5,6) |
(4,5,6) |
(6,7,8) |
S_16 |
(4,5,6) |
(4,5,6) |
(4,5,6) |
(2,3,4) |
(2,3,4) |
(4,5,6) |
S_17 |
(4,5,6) |
(4,5,6) |
(4,5,6) |
(2,3,4) |
(2,3,4) |
(2,3,4) |
S_18 |
(2,3,4) |
(2,3,4) |
(2,3,4) |
(1,1,1) |
(1,1,1) |
(1,1,1) |
S_19 |
(2,3,4) |
(2,3,4) |
(2,3,4) |
(2,3,4) |
(2,3,4) |
(4,5,6) |
Tab. 11
fuzzified average pairwise comparison matrix – part 2
|
S_7 |
S_8 |
S_9 |
S_10 |
S_11 |
S_12 |
S_13 |
S_1 |
(.27,.34,.49) |
(.24,.33,.47) |
(.1,.33,.47) |
(.25,.4,.5) |
(.24,.33,.47) |
(1,1,1) |
(.25,.4,.5) |
S_2 |
(.26,.34,.48) |
(.24,.33,.47) |
(.16,.2,.24) |
(.24,.33,.47) |
(1,1,1) |
(2,3,4) |
(.25,.34,.47) |
S_3 |
(.25,.34,.47) |
(.25,.4,.5) |
(.17,.2,.24) |
(.26,.34,.48) |
(1,1,1) |
(2,3,4) |
(.24,.33,.47) |
S_4 |
(.27,.34,.49) |
(.25,.34,.47) |
(.16,.2,.24) |
(.25,.34,.47) |
(1,1,1) |
(2,3,4) |
(1,1,1) |
S_5 |
(1,1,1) |
(1,1,1) |
(1,1,1) |
(1,1,1) |
(1,1,1) |
(2,3,4) |
(1,1,1) |
S_6 |
(.26,.34,.48) |
(.27,.34,.49) |
(.24,.33,.47) |
(.27,.34,.49) |
(.25,.34,.47) |
(1,1,1) |
(.24,.33,.47) |
S_7 |
(1,1,1) |
(1,1,1) |
(.25,.34,.47) |
(2,3,4) |
(2,3,4) |
(2,3,4) |
(1,1,1) |
S_8 |
(1,1,1) |
(1,1,1) |
(.26,.34,.48) |
(2,3,4) |
(1,1,1) |
(1,1,1) |
(.24,.33,.47) |
S_9 |
(2,3,4) |
(2,3,4) |
(1,1,1) |
(2,3,4) |
(2,3,4) |
(2,3,4) |
(1,1,1) |
S_10 |
(.26,.34,.48) |
(.24,.33,.47) |
(.24,.33,.47) |
(1,1,1) |
(1,1,1) |
(1,1,1) |
(.26,.34,.48) |
S_11 |
(.27,.34,.49) |
(1,1,1) |
(.27,.34,.49) |
(1,1,1) |
(1,1,1) |
(1,1,1) |
(.24,.33,.47) |
S_12 |
(.27,.34,.49) |
(1,1,1) |
(.26,.34,.48) |
(1,1,1) |
(1,1,1) |
(1,1,1) |
(.27,.34,.49) |
S_13 |
(1,1,1) |
(2,3,4) |
(1,1,1) |
(2,3,4) |
(2,3,4) |
(2,3,4) |
(1,1,1) |
S_14 |
(2,3,4) |
(2,3,4) |
(2.3.4) |
(4,5,6) |
(4,5,6) |
(4,5,6) |
(.24,.33,.47) |
S_15 |
(4,5,6) |
(4,5,6) |
(4,5,6) |
(6,7,8) |
(6,7,8) |
(6,7,8) |
(.16,.2,.24) |
S_16 |
(4,5,6) |
(4,5,6) |
(4,5,6) |
(4,5,6) |
(4,5,6) |
(4,5,6) |
(.25,.4,.5) |
S_17 |
(2,3,4) |
(2,3,4) |
(2,3,4) |
(2,3,4) |
(2,3,4) |
(2,3,4) |
(.25,.34,.47) |
S_18 |
(1,1,1) |
(1,1,1) |
(.27,.34,.49) |
(1,1,1) |
(1,1,1) |
(1,1,1) |
(.25,.4,.5) |
S_19 |
(2,3,4) |
(2,3,4) |
(2,3,4) |
(2,3,4) |
(2,3,4) |
(2,3,4) |
(2,3,4) |
Tab. 11
Fuzzified average pairwise comparison matrix – part 3
|
S_14 |
S_15 |
S_16 |
S_17 |
S_18 |
S_19 |
S_1 |
(.16,.2,.25) |
(.12,.14,.17) |
(.16,.2,.25) |
(.17,.2,.24) |
(.12,.14,.16) |
(.25,.34,.49) |
S_2 |
(.17,.2,.24) |
(.13,.14,.16) |
(.17,.2,.24) |
(.16,.2,.25) |
(.26,.34,.48) |
(.27,.34,.49) |
S_3 |
(.16,.2,.24) |
(.12,.15,.16) |
(.16,.2,.24) |
(.16,.2,.24) |
(.27,.34,.49) |
(.26,.34,.48) |
S_4 |
(.25,.34,.47) |
(.17,.2,.24) |
(.26,.34,.48) |
(.26,.34,.48) |
(1,1,1) |
(.27,.34,.49) |
S_5 |
(.25,.4,.5) |
(.16,.2,.24) |
(.25,.34,.47) |
(.24,.33,.47) |
(1,1,1) |
(.24,.33,.47) |
S_6 |
(.16,.2,.24) |
(.12,.15,.16) |
(.16,.2,.24) |
(.16,.2,.24) |
(1,1,1) |
(.16,.2,.25) |
S_7 |
(.25,.34,.47) |
(.17,.2,.24) |
(.17,.2,.24) |
(.25,.34,.47) |
(1,1,1) |
(.27,.34,.49) |
S_8 |
(.25,.4,.5) |
(.16,.2,.25) |
(.16,.2,.25) |
(.26,.34,.48) |
(1,1,1) |
(.24,.33,.47) |
S_9 |
(.27,.34,.49) |
(.16,.2,.24) |
(.17,.2,.24) |
(.24,.33,.47) |
(2,3,4) |
(.26,.34,.48) |
S_10 |
(.16,.2,.25) |
(.12,.14,.17) |
(.16,.2,.24) |
(.25,.34,.47) |
(1,1,1) |
(.24,.33,.47) |
S_11 |
(.17,.2,.24) |
(.13,.14,.16) |
(.17,.2,.24) |
(.25,.4,.5) |
(1,1,1) |
(.26,.34,.48) |
S_12 |
(.16,.2,.25) |
(.13,.14,.17) |
(.16,.2,.24) |
(.24,.33,.47) |
(1,1,1) |
(.25,.4,.5) |
S_13 |
(2,3,4) |
(4,5,6) |
(2,3,4) |
(2,3,4) |
(2,3,4) |
(.24,.33,.47) |
S_14 |
(1,1,1) |
(1,1,1) |
(.25,.34,.47) |
(1,1,1) |
(2,3,4) |
(1,1,1) |
S_15 |
(1,1,1) |
(1,1,1) |
(1,1,1) |
(1,1,1) |
(2,3,4) |
(1,1,1) |
S_16 |
(2,3,4) |
(1,1,1) |
(1,1,1) |
(1,1,1) |
(2,3,4) |
(1,1,1) |
S_17 |
(1,1,1) |
(1,1,1) |
(1,1,1) |
(1,1,1) |
(2,3,4) |
(1,1,1) |
S_18 |
(.27,.34,.49) |
(.25,.34,.47) |
(.16,.2,.24) |
(.25,.34,.47) |
(1,1,1) |
(.26,.34,.48) |
S_19 |
(1,1,1) |
(1,1,1) |
(1,1,1) |
(1,1,1) |
(2,3,4) |
(1,1,1) |
Tab. 12
Fuzzified geometric mean and fuzzy weight
Fuzzy geometric mean |
Fuzzy weight |
Weight |
Normalized weight |
|
S_1 |
(.27,.37,.47) |
(.009,.015,.025) |
0.0164 |
0.0156 |
S_2 |
(.39,.49,.62) |
(.013,.020,.032) |
0.0218 |
0.0207 |
S_3 |
(.38,.49,.62) |
(.013,.020,.032) |
0.0218 |
0.0208 |
S_4 |
(.61,.76,.95) |
(.021,.031,.049) |
0.0336 |
0.0320 |
S_5 |
.81,.98,1.14) |
(.028,.040,.059) |
0.0424 |
0.0404 |
S_6 |
(.28,.34,.44) |
(.010,.014,.023) |
0.0155 |
0.0148 |
S_7 |
(.84,1.07,1.31) |
(.028,.044,.068) |
0.0468 |
0.0446 |
S_8 |
(.72,.91,1.1) |
(.024,.037,.057) |
0.0396 |
0.0377 |
S_9 |
(1.1.5,1.49,1.85) |
(.039,.061,.096) |
0.0654 |
0.0623 |
S_10 |
(.57,.72,.89) |
(.020,.030,.047) |
0.0319 |
0.0304 |
S_11 |
(.57,.65,.75) |
(.019,.027,.039) |
0.0283 |
0.0270 |
S_12 |
(.39,.47,.56) |
(.013,.019,.029) |
0.0206 |
0.0196 |
S_13 |
1.54,2.04,2.51) |
(.052,.084,.130) |
0.0887 |
0.0845 |
S_14 |
(1.78,2.26,2.74) |
(.060,.093,.142) |
0.0984 |
0.0937 |
S_15 |
(2.59,3.0,3.39) |
(.088,.123,.176) |
0.1292 |
0.1231 |
S_16 |
(2.21,2.77,3.27) |
(.075,.113,.170) |
0.1195 |
0.1138 |
S_17 |
(1.66,2.15,2.61) |
(.056,.088,.136) |
0.0935 |
0.0890 |
S_18 |
(.66,.79,.92) |
(.023,.032,.048) |
0.0342 |
0.0326 |
S_19 |
(1.72,2.28,2.8) |
(.058,.094,.146) |
0.0993 |
0.0945 |
Tab. 13
Defuzzified weight and rank
Weight |
Rank(Fuzzy AHP) |
|
S_1 |
0.0156 |
18 |
S_2 |
0.0207 |
16 |
S_3 |
0.0208 |
15 |
S_4 |
0.0320 |
12 |
S_5 |
0.0404 |
9 |
S_6 |
0.0148 |
19 |
S_7 |
0.0446 |
8 |
S_8 |
0.0377 |
10 |
S_9 |
0.0623 |
7 |
S_10 |
0.0304 |
13 |
S_11 |
0.0270 |
14 |
S_12 |
0.0196 |
17 |
S_13 |
0.0845 |
6 |
S_14 |
0.0937 |
4 |
S_15 |
0.1231 |
1 |
S_16 |
0.1138 |
2 |
S_17 |
0.0890 |
5 |
S_18 |
0.0326 |
11 |
S_19 |
0.0945 |
3 |
Figure 5 below shows the different weights of
factors obtained by the Fuzzy AHP process. Efficiently
using resources (S_15)
obtained the highest weight of 0.1231, while Remote material monitoring
(S_6) got the lowest weight of 0.0148. Figure 5
also illustrates that the percentage of social, environmental, and economic
factors in the sustainability is 15%, 30% and 55% respectively. Figure 6
presents the ranking of the factors obtained through Fuzzy AHP,
where Efficiently
using resources (S_15)
got the 1st rank and Remote material monitoring (S_6) got the 19thrank.
Fig. 5. Fuzzy AHP weight obtained Fig.
6. Fuzzy AHP rank obtained
The ranking obtained from AHP is compared with the ranking of Fuzzy AHP and finds that there is a slight difference in the
ranking of factors, as shown in Table 13. The accuracy of the result is
confirmed, since the results obtained from both cases are almost identical.
Even coincident lines in figure 6 predict the similarity between the results
from AHP and Fuzzy AHP.
Tab. 14
Comparison of ranks
of AHP and Fuzzy AHP
Factor |
AHP rank |
Fuzzy AHP rank |
S_1 |
18 |
18 |
S_2 |
15 |
16 |
S_3 |
16 |
15 |
S_4 |
11 |
12 |
S_5 |
9 |
9 |
S_6 |
19 |
19 |
S_7 |
8 |
8 |
S_8 |
10 |
10 |
S_9 |
7 |
7 |
S_10 |
12 |
13 |
S_11 |
14 |
14 |
S_12 |
17 |
17 |
S_13 |
3 |
6 |
S_14 |
5 |
4 |
S_15 |
1 |
1 |
S_16 |
2 |
2 |
S_17 |
6 |
5 |
S_18 |
13 |
11 |
S_19 |
4 |
3 |
Figure 6 below shows the comparison of the
rank obtained from two different processes, AHP and
Fuzzy AHP. It can be inferred from the chart that the
lines are just coinciding, meaning that ranks obtained are almost the same,
which further implores the accuracy of the result.
Fig. 6. Comparison of AHP and Fuzzy AHP rank obtained
5. CONCLUSION
This paper focuses on the various
factors related to the adoption of cloud manufacturing. Through input from
industry experts and academics, a total of 19 factors have been identified: The
conducive social network, Human comfort, Human effort, Human health, Human
safety, Remote material monitoring, Fuel reduction, Waste reduction,
Efficient machine usage, Environment advices, Instant usage and planning,
Detection of natural disaster, Reduction in carbon footprints, Dynamic
flexibility, Efficiently using resources, Instant usage/Pay-as-use, Less cost
incurred, Less inventory, and Optimization. The AHP
approach is employed to calculate the weights for these sustainability factors
and determine their ranking. To ensure the accuracy of the results, a
comparison is conducted between the outcomes obtained from AHP
and Fuzzy AHP. This validation process ensures the
robustness and consistency of the findings. Results show, Efficient use of
resources (S_15) as the most significant and Remote
material monitoring (S_6) as the least significant
factor in the context of adoption cloud manufacturing. Other factors Instant
Usage/Pay-as-use (S_16) and Reduction in carbon
footprints (S_13) footprints also play a very
important role in choosing cloud manufacturing as a manufacturing process.
Furthermore, the consistency ratio value is calculated for validation,
accuracy, and consistency of the results and as the value of CR is .084 which
less than .1 shows that the results obtained are accurate and consistent. The percentage obtained as 15%, 32%, and 51% for social,
environmental, and economic factors of sustainability respectively, proves that
cloud manufacturing is a sustainable manufacturing process. To summarize, we
obtained a ranking of all factors influencing cloud manufacturing adoption and
identified the most significant ones. The percentage obtained for social,
environmental, and economic factors of sustainability concludes that cloud
manufacturing is a sustainable manufacturing process.
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SURVEY QUESTIONNAIRE
You are supposed to compare the two
factors at a time (i.e., in a pair). The scores of comparisons are 1, 3, 5,7, and 9.
Scores are assigned accordingly
Equal importance |
1 |
Moderate importance |
3 |
Strong importance |
5 |
Very strong importance |
7 |
Extreme importance |
9 |
For example: If you are comparing sustainability factor (S_1)
of a row with the sustainability factor (S_2) of the
column and assigned value 5 means
that factor S_1 is of strong importance than
opportunity S_2
|
S_1 |
S_2 |
S_3 |
S_4 |
S_5 |
S_6 |
S_7 |
S_8 |
S_9 |
S_1 |
1 |
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S_2 |
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1 |
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S_3 |
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1 |
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S_4 |
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1 |
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S_5 |
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1 |
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S_6 |
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1 |
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S_7 |
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1 |
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S_8 |
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1 |
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S_9 |
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1 |
S_10 |
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S_11 |
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S_12 |
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S_13 |
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S_14 |
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S_15 |
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S_16 |
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S_17 |
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S_18 |
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S_19 |
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S_10 |
S_11 |
S_12 |
S_13 |
S_14 |
S_15 |
S_16 |
S_17 |
S_18 |
S_19 |
S_1 |
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S_2 |
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S_3 |
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S_6 |
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S_7 |
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S_8 |
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S_9 |
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S_10 |
1 |
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S_11 |
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1 |
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S_12 |
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1 |
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S_13 |
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1 |
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S_14 |
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1 |
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S_15 |
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S_16 |
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1 |
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S_17 |
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S_18 |
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S_19 |
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1 |
S.No |
Overall factors for cloud manufacturing |
S_1 |
Conducive social network |
S_2 |
Human comfort |
S_3 |
Human effort |
S_4 |
Human health |
S_5 |
Human safety |
S_6 |
Remote material monitoring |
S_7 |
Fuel reduction |
S_8 |
Waste reduction |
S_9 |
Efficient machines usage |
S_10 |
Environment advices |
S_11 |
Instant usage and planning |
S_12 |
Detection of natural disaster |
S_13 |
Reduction in carbon footprints |
S_14 |
Dynamic
flexibility |
S_15 |
Efficiently
using resource |
S_16 |
Instant
usage / pay-as-use |
S_17 |
Less
cost incurred |
S_18 |
Less
inventory |
S_19 |
Optimization |
Received 02.12.2022; accepted in
revised form 30.03.2023
Scientific Journal of Silesian University of Technology. Series
Transport is licensed under a Creative Commons Attribution 4.0
International License
[1]Department of Mechanical Engineering, Delhi
Technological University New Delhi 110042, India. Email: simplymohneesh@gmail.com. ORCID: https://orcid.org/0000-0003-3347-9700