A Modification on the Hesitant Fuzzy Set Lexicographical Ranking Method

Symmetry

Zengwen Wang¹  Shitao Zhang²  Xiaodi Liu² 

[1] School of Government, Nanjing University, Nanjing 210023, Jiangsu, China;School of Mathematics and Physics, Anhui University of Technology, Ma’anshan 243002, Anhui, China;

关键词: hesitant fuzzy set;    lexicographical ordering;    ranking method;   

DOI  :  10.3390/sym8120153

来源: DOAJ

【 摘 要 】

Recently, a novel hesitant fuzzy set (HFS) ranking technique based on the idea of lexicographical ordering is proposed and an example is presented to demonstrate that the proposed ranking method is invariant with multiple occurrences of any element of a hesitant fuzzy element (HFE). In this paper, we show by examples that the HFS lexicographical ordering method is sometimes invalid, and a modified ranking method is presented. In comparison with the HFS lexicographical ordering method, the modified ranking method is more reasonable in more general cases.

【 授权许可】

Unknown