A new fuzzy multiple criteria decision making method based on likelihood-based comparison relations of hesitant fuzzy linguistic term sets and a-cuts of fuzzy sets

Abstract

In this paper, we propose the concept of likelihood-based comparison relations of hesitant fuzzy linguistic term sets to compare two hesitant fuzzy linguistic term sets based on a-cuts of fuzzy sets. We also propose a new fuzzy multiple criteria decision making method based on likelihood-based comparison relations of hesitant fuzzy linguistic term sets and the a -cuts of fuzzy sets. The proposed fuzzy multiple criteria decision making method has the following advantages: 1) it can overcome the drawback of the existing methods which cannot distinguish the preference order of alternatives in some situations and 2) it allows experts to use a fuzzy target to reflect his/her attitude for increasing the flexibility.