As a practical popular methodology for dealing with fuzziness and uncertainty in Multiple Criteria Decision- Making (MCDM), Fuzzy AHP (FAHP) has been applied to a wide range of applications. As of the time of writing there is no state of the art survey of FAHP, we carry out a literature review of 190 application papers (i.e., applied research papers), published between 2004 and 2016, by classifying them on the basis of the area of application, the identified theme, the year of publication, and so forth. The identified themes and application areas have been chosen based upon the latest state-of-the-art survey of AHP conducted by Vaidya and Kumar (2006). To help readers extract quick and meaningful information, the reviewed papers are summarized in various tabular formats and charts. Unlike previous literature surveys, results and findings are made available through an online (and free) testbed, which can serve as a ready reference for those who wish to apply, modify or extend FAHP in various applications areas. This online testbed makes also available one or more fuzzy pairwise comparison matrices (FPCMs) from all the reviewed papers (255 matrices in total).

1. A state-of the-art survey & testbed
of Fuzzy AHP (FAHP) applications
Kubler, S. Robert, J., Derigent, W., Voisin, A., Le Traon, Y.
Paper’s URL:
Testbed’s URL:
http://www.sciencedirect.com/science/article/pii/S0957417416304638
http://fahptestbed.sntiotlab.lu/

2. A state-of the-art survey & testbed of Fuzzy AHP (FAHP) applications
Preferences
KnowledgeUncertain
Vague
Fuzzy Logic MCDM (e.g., FAHP)
Zadeh, L.A. (1971).
Quantitative fuzzy semantics.
Information sciences,
3(2), pp.159-176.
What is Multi-Criteria Decision Making (MCDM) ?
Decision-maker
Van Laarhoven, P.J.M. and Pedrycz, W. (1983).
A fuzzy extension of Saaty's priority theory.
Fuzzy sets and Systems, 11(1-3), pp.229-241.

3. A state-of the-art survey & testbed of Fuzzy AHP (FAHP) applications
• A state-of the-art survey of FAHP application papers is carried out (190 papers are reviewed);
• Papers are classified based on the identified: Application area, Theme, Year, Country, etc.;
• Papers are summarised in various tabular formats and charts to help readers to extract quick
and meaningful information;
• Results & Findings are made available through an online (free) testbed, making one or more
fuzzy pairwise comparison matrices (FPCMs), from all papers, available for download.
- http://fahptestbed.sntiotlab.lu/
Summary
10
20
30
40
2004
2005
2006
2007
2008
2009
2010
2011
2012
2013
2014
2015
2016
Number of articles
reviewed per year

4. A state-of the-art survey & testbed of Fuzzy AHP (FAHP) applications
Methods
• ScienceDirect: 64%
• Springer: 14%
• Taylor & Francis: 10%
• Emerald: 3%
• IEEE: 2%
• Hindawi Publish. Corp.: 2%
Library databases used to identify relevant
scientific (FAHP) application papers
In total, 190 journal papers
have been reviewed and classified
Ignored items:
• Textbooks
• conference
proceeding
• Doctoral dissertations
• Master’s theses
• unpublished papers
• …
Classification of the reviewed papers on the basis of the following criteria:
• Year of Publication
• Application area: Personal, Social, Manufacturing, Political,
Engineering, Education, Industry, Government, Others (e.g. sports…)
• Theme: Selection, Evaluation, Benefit-Cost analysis, Resource
allocations, Priority, Decision-making
• Other tools: list of tools combined with FAHP such as QFD, TOPSIS,
Genetic Algorithm, and so forth (see next slides - “Result” section);
• Journal: name of the journal in which the paper was published
• Country: country where the study was being conducted.
Benefit-Cost (6)
Decision-
Making
(25)
Develop-
ment
(16)
Selection
(64)
Priority
(26)
Resource-
Allocation
(8)
Evaluation
(45)
Personal (5)
Social
(18)
Manufacturing
(43)
Political
(9)
Engineering
(24)
Education
(13)
Industry
(43)
Government
(25)
Others
(16)
Conclusion, Discussion & Findings
see next slides (Results)

5. A state-of the-art survey & testbed of Fuzzy AHP (FAHP) applications
Results
Personal (5)
Social
(18)
Manufacturing
(43)
Political
(9)
Engineering
(24)
Education
(13)
Industry
(43)
Government
(25)
Others
(16)
Benefit-Cost (6)
Decision-
Making
(25)
Develop-
ment
(16)
Selection
(64)
Priority
(26)
Resource-
Allocation
(8)
Evaluation
(45)
Theme-wise Application area-wise
Specific distribution of the reviewed papers arranged
(i) Theme-wise & (ii) Application area-wise

6. A state-of the-art survey & testbed of Fuzzy AHP (FAHP) applications
FAHP Testbed**
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A Bottle
Bank
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Shopping Center
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School
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SchoolBus
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Manufacturer
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A
Landfill site
Building-related studies
E16, E19, M12, P13
D11, D13
Car-related
studies
S20, S57, E4, E35, E33, E37, D9
Healthcare-related studies
S13, S22, S30, S36, E3, E43
Waste management-
related studies
S26
Sport-related
studies
M5, M19, P5
Bridge-related
studies
S34, B2, M7, M20
Agriculture-related
studies
E36, M23
Train & Subway
related-studies
S5, S8, S31, E26, P8, P11
P12, P14, P20, R3, R8
Energy & Power Plant-
related studies
Ocean & Shipping-
related studies
S1, S10, S16, S39, S55
E7, E11, E13, P4, P9
Plane-related studies
E9, P18
Government-related studies
S18, S24, S29, S42, E24
E20, E30, E41, E44, P10, P23
M11, M13, M21, M22, B1
Industry & Manufacturing-related studies
S14, S15, S19, S21, S35
S43, S46, S59, S60, S63
Robot & Machine-
related studies
S3, S25, S44, S50, S56
E27
ERP System-
related studies
S9, S62, S7, S41, M17
P1, P6, P19, R4
Maintenance-
related studies
E1, E6, E10, E15, E22
M9, D1, D4, P3, P16
CO2
Environment-
related studies
S46, S64, M3, M6, M8, M16, M18, M25
D2, D5, D6, D8, D10, D12, D14, D15, D16
P2, P17, P25, P26, R5, R6, R7, B5, B6
Project mgmt-
related studies
S2, S4, S6, S11, S12, S17, S23, S27, S32, S38
S40, S45, S47, S49, S51, S54, S58, S61, B3, D3
Supplier-
related studies
S28, S52, E18, E21, E23, E28, E29, E32, E39
E40, E45, M1, M2, M4, M10, M24, P15
P24, D7, R1
Other Industry-
related studies
Education-related studies
E2, E5, E8, E12, E14
E25, E34, E38, M15, R2
Tourism-
related studies
E31, M14
Shopping-
related studies
S53
Banking-related
studies
S33, E17, E42, B4
** : http://fahptestbed.sntiotlab.lu/
Results
Paper classification according to their application focus
(cf. article to identified what identifiers correspond to what papers )

7. A state-of the-art survey & testbed of Fuzzy AHP (FAHP) applications
Results
List of Country-wise arranged reviewed papers +
Assessment of the Chang’s extent analysis popularity
Country-wise
Rank Country N %
1 Turkey 48 25.0%
2 Iran 29 15.1%
3 Taiwan 21 10.9%
4 China 17 8.9%
5 India 14 7.3%
6
Korea 6 3.1%
Malaysia 6 3.1%
Canada 6 3.1%
7
UK 5 2.6%
Italy 5 2.6%
USA 5 2.6%
Serbia 5 2.6%
8 Australia 3 1.6%
9
Bangladesh 2 1.0%
Chile 2 1.0%
Denmark 2 1.0%
Japan 2 1.0%
Spain 2 1.0%
Vietnam 2 1.0%
Thailand 2 1.0%
10
Brazil 1 0.5%
France 1 0.5%
Greece 1 0.5%
Morocco 1 0.5%
Netherlands 1 0.5%
Philippines 1 0.5%
Poland 1 0.5%
Saudi Arabia 1 0.5%
192 100%
Distribution of papers using
Chang’s extent analysis
10
20
30
40
2004200520062007200820092010201120122013201420152016
Papers that DO consider/use
Chang’s extent analysis
Papers that DO NOT consider/use
Chang’s extent analysis
Asia is the
“torchbearer”

8. A state-of the-art survey & testbed of Fuzzy AHP (FAHP) applications
Paper classification on the basis of “Other Tools” (integrated with FAHP) with respect to
the identified “Themes”
(cf. article to identified what identifiers correspond to what papers )
Results
Selection Evaluation Benefit-Cost Res. Allocation Development Priority Decision-making
(AN)FIS R5 M3
ANP S34, S45, S27, S30,
S19, S21, S15, S8,
S12, S58
E39, E27, E19, E4,
E7
D2 P18, P2 M6
BSC S56 B3, B4
COPRAS E24, E34 S41
DEA S49, S11 S28
Delphi S14, S4 E10 D3, D2 P13 M14
DEMATEL S12 E32 D3
ELECTRE S22 E9
FA/FR S37
FMEA D2 P6, P19
GA S38
GRA E30, S15, E14
(L)FPP E28, M4 B1
LP S40 R4
Max-Min S1 R7
MRA M19
(MS)GP E3 S46 D14
NN S48
PROMETHEE S35, S24 D7
QFD D2, D3, D9, D8,
D13, D11, D16, D6,
D1, D14
D7
RS-FAHP P22
SWOT S56 P9, P2
(F)TOPSIS S43, S39, S59, S31,
S32, S23, S25, S26,
S53, S42, S49, S54,
S29, S6, S3, S4, S2,
S7, S13, S1, S58
E14, E33, E43, E41,
E18, E17, E42, E20,
E30, E10
B4, B5 R6, R4 D4, D10 P25, P18, P13, P12,
P1
S52, M21, M15,
M24, M12, M18,
M1, P24, M10
TRIZ D12
VIKOR S14, S47 E20, E14, E4 B4 P6

9. A state-of the-art survey & testbed of Fuzzy AHP (FAHP) applications
Conclusion — Online FAHP Testbed
Online Testbed enabling to (i) Access the state-of-the-art survey’s results and paper-related URLs;
(ii) Download Fuzzy Pairwise Comparison Matrices (FPCMs) files (.mat) and paper-related BibTeX.
Testbed’s URL: http://fahptestbed.sntiotlab.lu/
Available filters to ‘Sort’ &
‘Download’ a group of papers
(BibTeX) or FPCMs (.mat)
‘Download’ all or a subset
of papers/matrices
Dynamic graphs and pie charts
according to the filters’ setting
A total of 254 FPCMs from 180 papers (out
of the 192 reviewed) have been collected
and made available through the online
testbed.
This histogram shows the distribution of
the 254 FPCMs according to their
respective size; FPCMs whose size is
>10x10 (up to 20×20) are summed together
under the ≥ 10 × 10 x-label.

10. A state-of the-art survey & testbed of Fuzzy AHP (FAHP) applications
Conclusion
• FAHP is used primarily in the Manufacturing, Industry & Government sectors;
• Asia is the torchbearer in this field, where FAHP is mostly applied for Selection & Evaluation;
• a significant amount of research papers (43% of the reviewed literature) combine FAHP with
other tools, particularly with TOPSIS, QFD and ANP;
• The journals from which the highest number of papers have been integrated to our state-of-the-
art survey are: (1) Expert Systems with Applications; (2) Applied Soft Computing; (3) Journal of
Cleaner Production; (4) International Journal of Advanced Manufacturing Technology;
• Chang’s extent analysis is still the most popular FPCMs’ weight derivation method, used in
57% of the reviewed literature, and this despite of a number of criticisms in recent years.
http://fahptestbed.sntiotlab.lu/ We believe that the online FAHP testbed can serve as a ready
reference for different categories of end-users, such as for:
• Researchers - Scholars: to help them identifying relevant
scientific papers (e.g., looking at a specific theme, area…) when
writing FAHP-related state-of-the art chapters; and offer the
possibility to download more than 250 triangular FPCMs when
carrying out scientific analyses;
• Reviewers - editors: to help them evaluating the novelty and
relevance of future research papers submitted in this field.