Multiple Criteria Group Decision Making Problem Based on VIKOR Method Under Hesitant Fuzzy Environment

Abstract

All multiple criteria decision making (MCDM) methods are depends on an aggregationAhmad, Jamil representing by closeness to the ideal which is generated by compromise methods. The VIKOR method of compromiseJaved, Muhammad Kashif ranking determines a compromiseNazam, Muhammad solution. It is an effectiveNazim, Muhammad tool in multiple criteria decision making, especially in a situation where the decision makers are not able to express his or her preference. And the hesitant fuzzy set is also very useful tool to deal with uncertainty and hesitancy. It can be described in terms of the opinions of decision makers. In this paper we develop the traditional VIKOR method to solve the multiple criteria group decision making problem under hesitant fuzzy environment. Firstly, hesitant fuzzy set information and corresponding concepts are described, and the traditional VIKOR method is introduced. Then the problem of group decision making is described and also proposed the steps of extended VIKOR method. A numerical example of energy project selection is proposed as an application of VIKOR. In the end conclusion and discussions are made.