LEVEL SUBGROUPS AND UNION OF FUZZY SUBGROUPS

被引：66

作者：

DIXIT, VN

KUMAR, R

AJMAL, N

机构：

[1] Department of Mathematics, University of Delhi, Delhi

来源：

FUZZY SETS AND SYSTEMS | 1990年 / 37卷 / 03期

关键词：

fuzzy characteristic subgroup; fuzzy conjugate subgroup; Fuzzy group; fuzzy normal subgroup; level subgroup; union of fuzzy subgroups;

D O I：

10.1016/0165-0114(90)90032-2

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we investigate the conditions under which a given fuzzy subgroup of a given group can or can not be realized as a union of two proper fuzzy subgroups. Moreover, we formulate the notion of fuzzy subgroup generated by a given fuzzy subset by level subgroups. We also give characterizations of fuzzy conjugate subgroups and fuzzy characteristic subgroups by their level subgroups. Also, we discuss the relationship between level subgroups of a given fuzzy subgroup and the level subgroups of its homomorphic image. © 1990.

引用

页码：359 / 371

页数：13

共 15 条

[1]

AJMAL N, FUZZY COSETS FUZZY N

[2] A CHARACTERIZATION OF FUZZY SUBGROUPS [J].