直觉模糊全不变子群与特征子群

J4 ›› 2012, Vol. 47 ›› Issue (2): 119-122.

直觉模糊全不变子群与特征子群

李晓萍¹,孙刚²

1.天津师范大学管理学院, 天津 300387; 2.大连海事大学轮机工程学院，辽宁大连 116026

收稿日期:2010-12-09 出版日期:2012-02-20 发布日期:2012-12-24
作者简介:李晓萍(1965- ), 女, 教授, 研究方向为模糊群理论. Email: lxpmath@126.com
基金资助:
国家自然科学基金资助项目(60974144)

Intuitionistic fuzzy fully invariant subgroups and characteristic subgroups

LI Xiao-ping¹， SUN Gang²

1. School of Management, Tianjin Normal University, Tianjin 300387, China;
2. Marine Engineering College, Dalian Maritime University, Dalian 116026, Liaoning, China

Received:2010-12-09 Online:2012-02-20 Published:2012-12-24

摘要/Abstract

摘要：

通过引入直觉模糊集截集的概念,定义了直觉模糊全不变子群与直觉模糊特征子群,并借助于直觉模糊集截集性质和表示,研究了直觉模糊全不变子群与特征子群的蕴涵关系。此外,讨论了循环群上的直觉模糊子群的结构及其特征。

关键词: 直觉模糊集;直觉模糊子群;直觉模糊全不变子群;直觉模糊特征子群

Abstract:

The cut-sets of an intuitionistic fuzzy set are introduced, and an intuitionistic fuzzy fully invariant subgroup and an intuitionstic fuzzy characteristic subgroup are defined. The relationship between the intuitionistic fuzzy fully invariant subgroups and intuitionstic fuzzy characteristic subgroups is investigated. Finally, the structure and characteristic of the intuitionistic fuzzy subgroup of a circulating group are discussed.

Key words: intuitionistic fuzzy sets; intuitionistic fuzzy subgroups; intuitionistic fuzzy fully invariant subgroups; intuitionistic fuzzy characteristic subgroup

李晓萍1,孙刚2. 直觉模糊全不变子群与特征子群[J]. J4, 2012, 47(2): 119-122.

LI Xiao-ping1， SUN Gang2. Intuitionistic fuzzy fully invariant subgroups and characteristic subgroups[J]. J4, 2012, 47(2): 119-122.

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