Novel Fuzzy Approach for Group Multi-Criteria Supplier Evaluation and Selection Problem


Journal of Management Research

ISSN: 0972-5814 Online ISSN: 0974-455X

Novel Fuzzy Approach for Group Multi-Criteria Supplier Evaluation and Selection Problem


Mohammad Azadfallah


Abstract

In this paper, the extended fuzzy TOPSIS Multi-Criteria Decision Making (MCDM) method is developed for a group decision making environment, originally proposed by Triantaphyllou and Lin (1996). A major characteristic of most of the proposed algorithms (e.g., Wang & Elhag, 2006) is that they lead to a crisp relative closeness for each alternative to the ideal solutions. However, Triantaphyllou and Lin’s method is an exception. It is logical that fuzzy weights and fuzzy ratings should give rise to fuzzy relative closeness. Despite its usefulness, this model also has some notable limitations. For example, the proposed procedures violate the triangular fuzzy number orders law, l ≤ m ≤ u. The aim of this paper is to present a new version of Triantaphyllou and Lin’s approach for the evaluation/selection of suppliers when the decision has to be made by a group of decision makers. In the proposed model, we use the fuzzy TOPSIS method twice. First, we use a revised fuzzy TOPSIS, a modification of Triantaphyllou and Lin’s model to obey the orders law by changing the fuzzy positive and negative-ideal solution definitions, to find the individual decisions, and next, we use the extended version of this method to find the collective decision. In addition, the proposed method provides a way to handle different weights by decision makers. In order to show the validity of the proposed approach, a comparative analysis is done by comparing the results of
the individual and average of all individual preference orderings, with the results of the extended model.
Finally, a numerical example is given to demonstrate the feasibility of the developed method.


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