Intuitionistic fuzzy similarity measure approach based on orientation

被引：0
作者：
Wang, Yi [1 ,2 ]
Liu, San-Yang [1 ]
Cheng, Yue-Meng [2 ]
Yu, Xiao-Dong [2 ]
机构：
[1] School of Mathematics and Statistics, Xidian University, Xi'an
[2] Air Defense and Anti-missile Institute, Air Force Engineering University, Xi'an
来源：
Xi Tong Gong Cheng Yu Dian Zi Ji Shu/Systems Engineering and Electronics | 2015年 / 37卷 / 04期
关键词：
Intuitionistic fuzzy set (IFS); Intuitionistic index; Orientation; Similarity measures;
D O I：
10.3969/j.issn.1001-506X.2015.04.21
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
A approach to intuitionistic fuzzy similarity measure based on orientation is proposed. Aiming at the deficiency of the present Intuitionistic fuzzy similarity measures. First, the internal relationships of three interacting factors which directly affect intuitionistic fuzzy similarity are revealed and then three-dimensional illustration is presented based on the hypothesis that the supportability and opposability of neutral evidences are in an equilibrium state indicated by the intuitionistic index. Second, the problems that existing intuitionistic fuzzy similarity measures cannot express are analysed, some explicit constraints for intuitionistic fuzzy similarity are given and thus an axiomatic definition of intuitionistic fuzzy similarity measures is put forward. Third, with the revelation of the impact of intuitionistic index on evidence, a approach to intuitionistic fuzzy similarity measure is proposed. Finally, through analyzing and comparing by a set of calculating examples, it is proved that the proposed approach is correct, reasonable and valid. ©, 2015, Xi Tong Gong Cheng Yu Dian Zi Ji Shu/Systems Engineering and Electronics. All right reserved.
引用
收藏
页码：863 / 867
页数：4
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