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Serbian
Journal of Management
2017,
vol. 12, iss. 1, pp. 1-27
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Multi-criteria
decision making: an example of sensitivity analysis
Dragan
S. Pamučar, Darko Božanić and Aca Ranđelović
University
of defence in Belgrade, Military academy, Pavla Jurišića Šturma 33,
11000 Belgrade
e-mail: dpamucar@gmail.com
Abstract
This
study provides a model for result consistency evaluation of
multicriterial decision making (MDM) methods and selection of the
optimal one. The model is based on the analysis of results of MDM
methods, that is, the analysis of changes in rankings of MDM methods
that occur as a result of alterations in input parameters. In the
recommended model, we examine sensitivity analysis of MDM methods to
changes in criteria weight and result consistency of methods to changes
in measurement scale and the way in which we formulate criteria. In the
final phase of the model, we select the most suitable method to solve
the observed problem and the optimal alternative. The model is tested
on an example, when the optimal MDM method selection was required in
order to determine the location of the logistical center. During the
selection process, TOPSIS, COPRAS, VIKOR and ELECTRE methods were
considered. VIKOR method demonstrated the biggest stability of rankings
and was selected as the most fit method for ranking the locations of
the logistical center. Results of the demonstrated analysis indicate
sensitivity of standard MDM methods to criteria considered in this
work. Therefore, it is necessary, to take into account stability of the
considered method during the selection process of the optimal method.
This Work is licensed under a Creative Commons Attribution 4.0 License.
Keywords
Multicriterial
decision making methods, TOPSIS, COPRAS, VIKOR, ELECTRE
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References
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uploaded article: references checking, normalizing and linking in
progress. |
Ahari,
R.M., & Niaki, S.T.A. (2014). A hybrid approach based on
locally linear neuro-fuzzy modeling and TOPSIS to determine the quality
grade of gas well-drilling projects, Journal of Petroleum Science and
Engineering, 114, 99–106.
Anojkumar, L., Ilangkumaran M., Sasirekha V. (2014). Comparative
analysis of MCDM methods for pipe material selection in sugar industry,
Expert Systems with Applications 41, 2964–2980.
Awasthi, A., Omrani, H., & Gerber, P. (2013). Multicriteria
decision making for sustainability evaluation of urban mobility
projects, CEPS/INSTEAD Working Paper No 2013-01, pp. 1-31
Bach, E., & Bridy, A. (2013). On the number of distinct
functional graphs of affine-linear transformations over finite fields,
Linear Algebra and its Applications, 439, 1312–1320.
Barysiene, J. (2012). A multi-criteria evaluation of container terminal
technologies applying the COPRAS-G method. Transport, 27(4), 364–372.
Bottani, E., & Rizzi, A. (2006). A fuzzy TOPSIS methodology to
support outsourcing of logistics services, Supply Chain Management: An
International Journal 11(4), 294–308.
Camparo, J. (2013). A geometrical approach to the ordinal data of
Likert scaling and attitude measurements: The density matrix in
psychology, Journal of Mathematical Psychology, 57, 29–42.
Chang, T.H. (2014). Fuzzy VIKOR method: A case study of the hospital
service evaluation in Taiwan, Information Sciences, 271, 196–212.
Chang, C.H., Lin, J.J., Linc, J.H., Chiang, M.C. (2010). Domestic
open-end equity mutual fund performance evaluation using extended
TOPSIS method with different distance approaches. Expert Systems with
Applications, 37(6): 4642-4649.;
Chen S., & Liu, X. (2006). Factors and a Method of Selecting a
Site for a Logistical Centre. Journal of Weinan Teachers College, 2,
20-23.
Corrente, S., Figueira, J., & Greco, S. (2014). The
SMAA-PROMETHEE method, European Journal of Operational Researsch
239(2), 514–522
French, S. (1988). Decision theory - an introduction to the mathematics
of rationality, Chrichster, Ellis Horwood Ltd.
Ghoseiri, K., & Lessan, J. (2008). Location selection for
logistic centres using a two-step fuzzy AHP and ELECTE method.
Proceedings of the 9th Asia Pasific Industrial Engineering &
Management Systems Conference, Indonesia, 434-440.
Kaboli, A., Aryanezhad, M. B., & Shahanaghi, K. (2007). A
holistic approach based on MCDM for solving location problems.
International Journal of Engineering Transactions A: Basics, 20(3),
252-262.
Kaboli, A., Aryanezhad, M. B., & Shahanaghi, K. (2007). A
holistic approach based on MCDM for solving location problems.
International Journal of Engineering Transactions A: Basics, 20(3),
252-262.
Kahneman, D., & Tversky, A. (1979). Prospect Theory: An
Analysis of Decision under Risk, Econometrica, 47(2), pp. 263-292..
Kahneman, D., & Tversky, A. (1981). The Framing of Decisions
and the Psychology of Choice, Science, 211(4481), pp. 453-458.
Kannan, D., Jabbour, A., & Jabbour, C. (2014). Selecting green
suppliers based on GSCM practices: Using fuzzy TOPSIS applied to a
Brazilian electronics company, European Journal of Operational Research
233, 432–447.
Kelemenis, A., Askounis, D. (2010). A new TOPSIS-based multi-criteria
approach to personnel selection, Expert Systems with Applications 37,
4999–5008.
Kracka, M., Brauers, W. K. M., & Zavadskas, E. K. (2010).
Ranking heating losses in a building by applying the MULTIMOORA.
Inzinerine Ekonomika-Engineering Economics, 21(4), 352–359.
Lai, M. C., Sohn, H. S., Tseng, T. L., & Chiang, C. (2010). A
hybrid algorithm for capacitated plant location problem. Expert Systems
with Applications, 37(12), 8599–8605.
Li, P., Qian, H., Wu, J., & Chen, J. (2013a). Sensitivity
analysis of TOPSIS method in water quality assessment: I. Sensitivity
to the parameter weights, Environmental Monitoring and Assessment 185,
2453–2461.
Li, P., Qian, H., Wu, J., & Chen, J. (2013b). Sensitivity
analysis of TOPSIS method in water quality assessment II: Sensitivity
to the index input data, Environmental Monitoring and Assessment 185,
2463–2474.
Liu, C.H., Tzeng G.H, & Lee, M.H. (2013). Improving
metro–airport connection service for tourism development: Using hybrid
MCDM models, Tourism Management Perspectives, 6, 95–107.
Liu, H.C., & Wu, J. (2013). Ping LiAssessment of health-care
waste disposal methods using a VIKOR-based fuzzy multi-criteria
decision making method, Waste Management, 33, 2744–2751.
Morteza, Y., & Farokh-Payam, A. (2015). A comparative study on
material selection of microelectromechanical systems electrostatic
actuators using Ashby, VIKOR and TOPSIS, Materials and Design, 65,
328–334.
Mulliner, E., Smallbone, K., & Maliene, V. (2013). An
assessment of sustainable housing affordability using a multiple
criteria decision making method, Omega 41, 270–279.
Opricović, S., Tzeng, G.H. (2004) Compromise solution by MCDM methods:
A comparative analysis of VIKOR and TOPSIS. European Journal of
Operational Research. 156 (2), 445-455.
Ou, C.-W., & Chou, S.-Y. (2009). International distribution
centre selection from a foreign market perspective using a weighted
fuzzy factor rating system. Expert System with Applications, 36(2),
1773-1782.
Pamučar, D., & Ćirović G. (2015). The selection of transport
and handling resources in logistics centers using Multi-Attributive
Border Approximation area Comparison, Expert Systems with Applications,
42(6), 3016-3028.
Pavličić, D. (1997). Individual preferences and rational choice,
Psychology, 1-2, 49-76.
Pavličić, D. (2002). Consistency of multi-attribute analysis method
choice, Economic annals, 155, 59-82.
Peng Y., Kou G, Wang G, & Shi Y. (2011). FAMCDM: A fusion
approach of MCDM methods to rank multiclass classification algorithms,
Omega, 39, 677–689.
Rahmaniani, R., Saidi-Mehrabad, M., & Ashouri, H. (2013).
Robust capacitated facility location problem optimization model and
solution algorithms. Journal of Uncertain Systems, 7(1), 22–35.
Rahmaniani, R., Saidi-Mehrabad, M., & Ashouri, H. (2013).
Robust capacitated facility location problem optimization model and
solution algorithms. Journal of Uncertain Systems, 7(1), 22–35.
Rezaeiniya, N., Zolfani, S. H., & Zavadskas, E. K. (2012).
Greenhouse locating based on ANP-COPRAS-G methods - an empirical study
based on Iran. International Journal of Strategic Property Management,
16(2), 188–200.
Rodrigues F. L.J., Osiro, L., & Carpinetti L.C.R. (2014). A
comparation between Fuzzy AHP and Fuzzy TOPSIS methods to supplier
selection Applied Soft Computing, 21, 194–209.
Rogers M, Bruen M. (1998). Choosing realistic values of indifference,
preference and veto thresholds for use with environmental criteria
within ELECTRE. European Journal of Operational Research, 107:542–51.
Shanian, A., Savadogo O. (2006). TOPSIS multiple-criteria decision
support analysis for material selection of metallic bipolar plates for
polymer electrolyte fuel cell. Journal of Power Sources, 159(2):
1095-1104.
Stevens-Navarro, E., Martinez-Morales, J.D., & Pineda-Rico, U.
(2012). Evaluation of Vertical Handoff Decision Algorightms Based on
MADM Methods for Heterogeneous Wireless Networks, Journal of Applied
Research and Technology 10, 534–548.
Sun, M. (2012). A tabu search heuristic procedure for the capacitated
facility location problem. Journal of Heuristics, 18(1), 91–118.
Triantaphyllou E. (2000): Multi-criteria decision making methods: A
comparative study. Kluwer, Dordrecht
Triantaphyllou, E., & Lin, C-T. (1996). Development and
evaluation of five fuzzy multiattribute decision-making methods,
International Journal of Approximate Reasoning 14(4), 281-310.
Triantaphyllou, E., & Mann, S.H. (1989). An Examination of the
Effectiveness of Multi-Dimensional Decision-Making Methods: A
Decision-Making Paradox, Decision Support Systems 5, 303-312.
Ustinovichius, L., Zavadskas, E. K., & Podvezko, V. (2007).
Application of a quantitative multiple criteria decision making
(MCDM-1) approach to the analysis of investments in construction.
Control and Cybernetics, 36(1): 251–268.
Viteikiene, M., & Zavadskas, E. K. (2007). Evaluating the
sustainability of Vilnius city residential areas. Journal of civil
engineering and management, 13(2): 149-155.
Wang, S., & Liu, P. (2007). The evaluation study on location
selection of logistics centre based on fuzzy AHP and TOPSIS.
International Conference on Wireless Communications, Networking and
Mobile Computing, 3779 – 3782.
Wang, X., & Triantaphyllou, E. (2008). Ranking irregularities
when evaluating alternatives by using some ELECTRE methods. Omega, 36,
45–63.
Wang, Y.L., & Tzeng, G.H. (2012). Brand marketing for creating
brand value based on a MCDM model combining DEMATEL with ANP and VIKOR
methods, Expert Systems with Applications 39, 5600–5615.
Yang, J.L., Chiu, HN, Tzeng G.H, & Yeh, R.H. (2008). Vendor
selection by integrated fuzzy MCDM techniques with independent and
interdependent relationships, Information Sciences, 178, 4166–4183.
Yu, O.-Y., Guikema, S.D., Briaud, J.-L., & Burnett, D. (2012).
Sensitivity Analysis for Multi-Attribute System Selection Problems in
Onshore Environmentally Friendly Drilling (EFD), Systems engineering
15(2), 153–171.
Zare Mehrjerdi, Y., & Nadizadeh, A. (2013). Using greedy
clustering method to solve capacitated location-routing problem with
fuzzy demands. European Journal of Operational Research, 229(1), 75–84.
Zare Mehrjerdi, Y., & Nadizadeh, A. (2013). Using greedy
clustering method to solve capacitated location-routing problem with
fuzzy demands. European Journal of Operational Research, 229(1), 75–84. |
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