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Group Decision Making Using Intuitionistic Hesitant Fuzzy Sets

  • Beg, Ismat (Centre for Mathematics and Statistical Sciences, Lahore School of Economics) ;
  • Rashid, Tabasam (Department of Mathematics, University of Management and Technology)
  • Received : 2014.03.17
  • Accepted : 2014.09.22
  • Published : 2014.09.25

Abstract

Dealing with uncertainty is always a challenging problem. Intuitionistic fuzzy sets was presented to manage situations in which experts have some membership and non-membership value to assess an alternative. Hesitant fuzzy sets was used to handle such situations in which experts hesitate between several possible membership values to assess an alternative. In this paper, the concept of intuitionistic hesitant fuzzy set is introduced to provide computational basis to manage the situations in which experts assess an alternative in possible membership values and non-membership values. Distance measure is defined between any two intuitionistic hesitant fuzzy elements. Fuzzy technique for order preference by similarity to ideal solution is developed for intuitionistic hesitant fuzzy set to solve multi-criteria decision making problem in group decision environment. An example is given to illustrate this technique.

Keywords

Hesitant fuzzy set;Intuitionistic fuzzy set;Multiple attribute group decision making;Technique for order preference by similarity to ideal solution

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