Some Novel Similarity Measures of Hesitant Fuzzy Sets And Their Applications To MADM
|International Journal of Engineering Trends and Technology (IJETT)||
|© 2019 by IJETT Journal|
|Year of Publication : 2019|
|Authors : Xiaoqiang Zhou, Chunyong Wang , Zichuang Huang, Yameng Deng
|DOI : 10.14445/22315381/IJETT-V67I9P205|
MLA Style: Xiaoqiang Zhou, Chunyong Wang , Zichuang Huang, Yameng Deng "Some Novel Similarity Measures of Hesitant Fuzzy Sets And Their Applications To MADM" International Journal of Engineering Trends and Technology 67.9 (2019):31-37.
APA Style:Xiaoqiang Zhou, Chunyong Wang , Zichuang Huang, Yameng Deng. Some Novel Similarity Measures of Hesitant Fuzzy Sets And Their Applications To MADM International Journal of Engineering Trends and Technology, 67(9),31-37.
Similarity measure is a very important topic in fuzzy set theory. Torra proposed the notion of hesitant fuzzy set (HFS) which is a generalization of the notion of Zadeh’ fuzzy set. In this paper, a hesitant fuzzy quasi subset is first defined. Moreover, the modified axiom definitions of distance and similarity measures for HFSs are given and some novel distance and similarity measures for HFSs are developed. Based on the proposed similarity measures, a method of multiple attribute decision making (MADM) under hesitant fuzzy environment is established. Additionally, a numerical example is given to illustrate the application of the proposed similarity measures of HFSs in multiple attribute decision making.
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Hesitant fuzzy set, Distance measure, Similarity measure, Multiple attribute decision making.