Application of Fuzzy Based VIKOR Approach for Multi-Attribute Group Decision Making (MAGDM): A Case Study in Supplier Selection

Authors

DOI:

https://doi.org/10.7494/dmms.2012.6.1.25

Keywords:

supplier selection, MAGDM, fuzzy set theory, VIKOR method

Abstract

In today’s competitive global markets, selection of a potential supplier plays an important role to cut production costs as well as material costs of the company. This leads to successful survival and sustainability in a competitive marketplace. Therefore, evaluation and selection of an appropriate supplier has become an important part of supply chain management. The nature of the supplier selection process is a complex multi-attribute group decision making (MAGDM) problem which deals with both quantitative and qualitative factors may be conflicting in nature as well as contain incomplete and uncertain information. In order to solve such a kind of MAGDM problems, the development of an effective supplier selection model is evidently desirable. In this paper, an application of the VIKOR method combined with fuzzy logic has been used to solve supplier selection problems with confliting and non-commensurable (different units) criteria, assuming that compromising is acceptable for conflict resolution. The decision maker wants a solution, which must be closest to the ideal, and the alternatives are evaluated according to all established criteria. Linguistic values are used to assess the ratings and weights for the conflicting factors. These linguistic ratings can be expressed in triangular fuzzy numbers. Then, a hierarchy MAGDM model based on fuzzy sets theory and the VIKOR method has been proposed to deal with the supplier selection problems in the supply chain system. A case study has been illustrated as an application of the proposed model.

References

Altinoz C. & Winchester S.C. (2001). A fuzzy approach to supplier selection. The Journal of the Textile Institute, 92(2), pp. 155–167. DOI: http://doi.org/10.1080/00405000108659605.

Bashiri M. & Badri H. (2011). A group decision making procedure for fuzzy interactive linear assignment programming. Expert Systems with Applications, 38(5), pp. 5561–5568. DOI: http://doi.org/10.1016/j.eswa.2010.10.080.

Chang C.-L. (2010). A modified VIKOR method for multiple criteria analysis. Environmental Monitoring and Assessment, 168(1–4), pp. 339–344. DOI: http://doi.org/10.1007/s10661-009-1117-0.

Chen C.-T. (2000). Extensions of the TOPSIS for group decision-making under fuzzy environment. Fuzzy Sets and Systems, 114(1), pp. 1–9. DOI: http://doi.org/10.1016/S0165-0114(97)00377-1.

Ghodsypour S.H. & O’Brien C. (1998). A decision support system for supplier selection using an integrated analytic hierarchy process and linear programming. International Journal of Production Economics, 56–57, pp. 199–212. DOI: http://doi.org/10.1016/S0925-5273(97)00009-1.

Huang J.-J., Tzeng G.-H. & Liu H.-H. (2009). A revised VIKOR model for multiple criteria decision making – The perspective of regret theory. In: Shi Y., Wang S., Peng Y., Li J. & Zeng Y. (Eds.), Cutting-Edge Research Topics on Multiple Criteria Decision Making. Communications in Computer and Information Science, vol. 35. Springer, Berlin–Heidelberg, pp. 761–768. DOI: http://doi.org/10.1007/978-3-642-02298-2_112.

Kubat C. & Yüce B. (2006). Supplier selection with genetic algorithm and fuzzy AHP. In: Proceedings of the 5th International Symposium on Intelligent Manufacturing Systems, Sakarya, Turkey, 29–31 May 2006, pp. 1382–1401.

Kumar M., Vrat P. & Shankar R. (2004). A fuzzy goal programming approach for vendor selection problem in a supply chain. Computers & Industrial Engineering, 46(1), pp. 69–85. DOI: http://doi.org/10.1016/j.cie.2003.09.010.

Kuo M.-S. & Liang G.-S. (2011). Combining VIKOR with GRA techniques to evaluate service quality of airports under fuzzy environment. Expert Systems with Applications, 38(3), pp. 1304–1312. DOI: http://doi.org/10.1016/j.eswa.2010.07.003.

Moeinzadeh P. & Hajfathaliha A. (2009). A combined fuzzy decision making approach to supply chain risk assessment. International Journal of Industrial and Manufacturing Engineering, 3(12), pp. 1631–1647.

Opricovic S. (1998). Multicriteria Optimization of Civil Engineering Systems. Doctoral dissertation, Faculty of Civil Engineering, University of Belgrade, Belgrade.

Opricovic S. & Tzeng G.-H. (2004). Compromise solution by MCDM methods: A comparative analysis of VIKOR and TOPSIS. European Journal of Operational Research, 156(2), pp. 445–455. DOI: http://doi.org/10.1016/S0377-2217(03)00020-1.

Opricovic S. & Tzeng G.-H. (2007). Extended VIKOR method in comparison with outranking methods. European Journal of Operational Research, 178(2), pp. 514–529. DOI: http://doi.org/10.1016/j.ejor.2006.01.020.

Park J.H., Cho H.J. & Kwun Y.C. (2011). Extension of the VIKOR method for group decision making with interval-valued intuitionistic fuzzy information. Fuzzy Optimization and Decision Making, 10(3), pp. 233–253. DOI: http://doi.org/10.1007/s10700-011-9102-9.

Roodhooft F. & Konings J. (1997). Vendor selection and evaluation: An activity-based costing approach. European Journal of Operational Research, 96(1), pp. 97–102. DOI: http://doi.org/10.1016/0377-2217(95)00383-5.

Saghafian S. & Hejazi S.R. (2005). Multi-criteria group decision making using a modified fuzzy TOPSIS procedure. In: Proceedings of the 2005 International Conference on Computational Intelligence for Modelling, Control and Automation and International Conference on Intelligent Agents, Web Technologies and Internet Commerce (CIMCA–IAWTIC 2005), vol. 2, pp. 215–220. DOI: http://doi.org/10.1109/CIMCA.2005.1631471.

Sanayei A., Mousavi S.F. & Yazdankhah A. (2010). Group decision making process for supplier selection with VIKOR under fuzzy environment. Expert Systems with Applications, 37(1), pp. 24–30. DOI: http://doi.org/10.1016/j.eswa.2009.04.063.

Sanayei A., Mousavi S.F., Abdi M.R. & Mohaghar A. (2008). An integrated group decision-making process for supplier selection and order allocation using multi-attribute utility theory and linear programming. Journal of the Franklin Institute, 345(7), pp. 731–747. DOI: http://doi.org/10.1016/j.jfranklin.2008.03.005.

Shahanaghi K. & Yazdian S.A. (2009). Vendor selection using a new fuzzy group TOPSIS approach. Journal of Uncertain Systems, 3(3), pp. 221–231.

Tsai C.-H., Chang C.-L. & Chen L. (2003). Applying grey relational analysis to the vendor evaluation model. International Journal of the Computer, the Internet and Management, 11(3), pp. 45–53.

Weber C.A., Current J.R. & Desai A. (1998). Non-cooperative negotiation strategies for vendor selection. European Journal of Operational Research, 108(1), pp. 208–223. DOI: http://doi.org/10.1016/S0377-2217(97)00131-8.

Wu M. & Liu Z. (2011). The supplier selection application based on two methods: VIKOR algorithm with entropy method and fuzzy TOPSIS with vague sets method. International Journal of Management Science and Engineering Management, 6(2), pp. 109–115. DOI: http://doi.org/10.1080/17509653.2011.10671152.

Yu P.L. (1973). A class of solutions for group decision problems. Management Science, 19(8), pp. 936–946. DOI: http://doi.org/10.1287/mnsc.19.8.936.

Zadeh L.A. (1965). Fuzzy sets. Information and Control, 8(3), pp. 338–353. DOI: http://doi.org/10.1016/S0019-9958(65)90241-X.

Zadeh L.A. (1975). The concept of a linguistic variable and its application to approximate reasoning—I. Information Sciences, 8(3), pp. 199–249. DOI: http://doi.org/10.1016/0020-0255(75)90036-5.

Downloads

Published

2012-12-23

Issue

Section

Articles

How to Cite

Samantra, C., Datta, S., & Mahapatra, S. S. (2012). Application of Fuzzy Based VIKOR Approach for Multi-Attribute Group Decision Making (MAGDM): A Case Study in Supplier Selection. Decision Making in Manufacturing and Services, 6(1), 25-39. https://doi.org/10.7494/dmms.2012.6.1.25

Most read articles by the same author(s)