International Journal of Physical and Social Sciences

  • Year: 2015
  • Volume: 5
  • Issue: 9

An intutionistic fuzzy optimization approach for the vendor selection problem

  • Author:
  • Prabjot Kaur
  • Total Page Count: 13
  • DOI:
  • Page Number: 109 to 121

Department of Applied Mathematics, Birla Institute of Technology, Mesra, Ranchi-835215, Jharkhand, India

Abstract

Vendor selection decisions are often driven by multiple criteria, involving single vendor or multiple vendors that might not have the best performance on all the criteria. Therefore, the decision maker must compare performance on the various criteria and make judgement for selection. These criteria are either fuzzy or deterministic; they might not represent exactly the real problem. In fuzzy sets there is no means to incorporate lack of knowledge with membership degree. Intuitionistic fuzzy set suitable way to deal this problem combined with membership function, non-membership function and hesitation margin. We have reformulated the model of Ghodsypour and O'Brien (1998) by using intuitionistic fuzzy sets in the model for choosing the best suppliers and order quantities to place with these suppliers so as to maximize the total value of purchasing (TVP). Also a score function has been used to determine the score of vendors for ranking. A numerical example illustrates our results.

Keywords

Intutionistic fuzzy sets, Vendor selection, Score function, Accuracy function