Generalized Fuzzy α-Ideals of BCI- algebras

被引：0

作者：

Zhang, Xiao ^{[1
]}

Sun, Shaoquan ^{[1
]}

机构：

[1] Qingdao Univ Sci & Technol, Coll Math & Phys, Qingdao 266061, Peoples R China

来源：

MECHATRONICS AND INDUSTRIAL INFORMATICS, PTS 1-4 | 2013年 / 321-324卷

关键词：

BCI-algebra; alpha; -ideal; generalized fuzzy ideal; generalized fuzzy alpha - ideal;

D O I：

10.4028/www.scientific.net/AMM.321-324.2794

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this paper, the concept of generalized fuzzy alpha - ideal of BCI-algebra is introduced. The following results are obtained: for a BCI-algebra X, any generalized fuzzy alpha -ideal of X must be a generalized fuzzy ideal; a fuzzy set A of X is a generalized fuzzy alpha -ideal of X if and only if for all t is an element of (lambda, mu], A(t) is either empty or an alpha -ideal of X; suppose that A and B are generalized fuzzy alpha - ideals of X, then so are A boolean AND B and AxB. Also, a characterizations of generalized fuzzy alpha -ideal is given.

引用

页码：2794 / 2797

页数：4

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