The lower and upper approximations in a fuzzy group

被引：100

作者：

Kuroki, N ^{[1
]}

Wang, PP ^{[1
]}

机构：

[1] DUKE UNIV, DEPT ELECT ENGN, DURHAM, NC 27708 USA

来源：

INFORMATION SCIENCES | 1996年 / 90卷 / 1-4期

基金：

美国国家科学基金会;

关键词：

and so xy E [c],t.:~t. Thus, xy E [c],~t.:,tN A, and so c E (#t * At)^(A). Therefore, we obtain that #t^(A)At^(A) C (#t * At)^(A), which completes the proof. [] N. Kuroki would like to acknowledge the support of the Ministry of Education of Japan for providing financial assistance for the trip to the U.S. and the visit to Duke University and Creighton University in order to write this paper. He is also grateful to the Department of Electrical Engineering, Duke University, for providing facilities during the preparation of this work and to Professor S. C. Cheng ( Creighton University) for valuable comments and suggestions. The work of P. P. Wang was sponsored in part by the National Science Foundation under Grant No. ECS-9216~7~ and by the Electric Power Research Institute under Grant No. RP8030-3;

D O I：

10.1016/0020-0255(95)00282-0

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we shall introduce the notion of a rough subgroup with respect to a normal subgroup of a group, and give some properties of the lower and the upper approximations in a group. Also, we will discuss a rough subgroup with respect to a t-level subset of a fuzzy normal subgroup.

引用

页码：203 / 220

页数：18

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