A new generalized intuitionistic fuzzy set

被引：0
|
作者：
Jamkhaneh, Ezzatallah Baloui [1 ]
Nadarajah, Saralees [2 ]
机构：
[1] Islamic Azad Univ, Dept Stat, Qaemshahr Branch, Qaemshahr, Iran
[2] Univ Manchester, Sch Math, Manchester, Lancs, England
来源：
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2015年 / 44卷 / 06期
关键词：
Generalized intuitionistic fuzzy set; Intuitionistic fuzzy set; Intuitionistic fuzzy sets of root type; Intuitionistic fuzzy sets of second type; ENVIRONMENT;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A generalized intuitionistic fuzzy set (GIFS(B)) is proposed. It is shown that Atanassov's intuitionistic fuzzy set, intuitionistic fuzzy sets of root type and intuitionistic fuzzy sets of second type are special cases of this new one. Some important notions, basic algebraic properties of GIFS(B), three operators and their relationship are discussed. The algebraic properties include being closed under union, being closed under intersection, being closed under a necessity measure, being closed under a possibility measure and de Morgan type identities.
引用
收藏
页码：1537 / 1551
页数：15
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