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Issue:Hesitant intuitionistic fuzzy linguistic term sets

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Title of paper: Hesitant intuitionistic fuzzy linguistic term sets
Author(s):
Ismat Beg
Lahore School of Economics, Lahore, Pakistan
begismat@yahoo.com
Tabasam Rashid
University of Management and Technology, Lahore, Pakistan
tabasam.rashid@gmail.com
Published in: "Notes on IFS", Volume 20, 2014, Number 3, pages 53-64
Download:  PDF (284  Kb, Info)
Abstract: Dealing with uncertainty is a challenging problem, and different tools have been proposed in the literature to deal with it. Intuitionistic fuzzy sets was presented to manage situations in which experts have some membership and non-membership value to assess an alternative. Hesitant fuzzy linguistic term sets was used to handle such situations in which experts hesitate between several possible linguistic values or interval to assess an alternative and variable in qualitative settings. In this paper, the concept of an hesitant intuitionistic fuzzy linguistic term set is introduced to provide a linguistic and computational basis to manage the situations in which experts assess an alternative in possible linguistic interval and impossible linguistic interval. Distance measure is defined between any two elements of hesitant intuitionistic fuzzy linguistic term set. Technique for order preference by similarity to ideal solution is proposed in hesitant intuitionistic fuzzy linguistic term set setting for multi-criteria group decision making. An example is given to elaborate the proposed method for the selection of the best alternative as well as rank the alternatives from the best to worst.
Keywords: Hesitant fuzzy set, Intuitionistic fuzzy set, Linguistic decision making, TOPSIS.
AMS Classification: 91B10, 91B06, 90B50, 62C86.
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