Some new similarity measures for hesitant fuzzy sets and their applications in multiple attribute decision making

2012/11/17 by Xiaoqiang Zhou, Qingguo Li, Zhou, Xiaoqiang +1
Computer Science · Mathematics · #03E72 #A.0 #FOS: Computer and information sciences #Information Theory (cs.IT) #acm:03E72 #cs.IT #math.IT #msc:03E72

paper · pdf · doi:10.48550/arxiv.1211.4125

17 pages

arxiv created 2012/12/22 · arxiv updated 2012/12/27

Abstract

Similarity measure is a very important topic in fuzzy set theory. Torra (2010) proposed the notion of hesitant fuzzy set(HFS), which is a generalization of the notion of Zadeh' fuzzy set. In this paper, some new similarity measures for HFSs are developed. Based on the proposed similarity measures, a method of multiple attribute decision making under hesitant fuzzy environment is also introduced. Additionally, a numerical example is given to illustrate the application of the proposed similarity measures of HFSs to decision-making.

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