The orders of intuitionistic fuzzy numbers

被引:10
|
作者
Zhang, Zhao [1 ]
Xu, Zeshui [2 ]
机构
[1] PLA Univ Sci & Technol, Coll Sci, Nanjing, Jiangsu, Peoples R China
[2] Sichuan Univ, Sch Business, Chengdu 610064, Sichuan, Peoples R China
基金
中国国家自然科学基金;
关键词
Intuitionistic fuzzy set; intuitionistic fuzzy number; order; ranking; DECISION-MAKING; SIMILARITY MEASURES; RANKING; SETS; INFORMATION; DOMINANCE; VALUES;
D O I
10.3233/IFS-141327
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In many applications of intuitionistic fuzzy sets, comparing or ranking intuitionistic fuzzy numbers (IFNs) plays an important role. In this paper, the orders of intuitionistic fuzzy numbers are discussed. The orders of IFNs have undesired mathematical properties. By using a special function, a new order of IFNs is proposed. This new type of order has good mathematical properties on algebraic intuitionistic fuzzy numbers (A-IFNs) which is a dense collection of IFNs, and A-IFNs are adequate in most applications.
引用
收藏
页码:505 / 511
页数:7
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