Characterizations of Fuzzy Ideals of Semigroups by Soft Sets

被引：0

作者：

Siripitukdet, Manoj ^{[1
,2
]}

机构：

[1] Naresuan Univ, Fac Sci, Dept Math, Phitsanulok 65000, Thailand

[2] Naresuan Univ, Res Ctr Acad Excellence Math, Phitsanulok 65000, Thailand

来源：

THAI JOURNAL OF MATHEMATICS | 2018年 / 16卷 / 01期

关键词：

fuzzy bi-ideals; fuzzy ideals; soft bi-ideals; soft ideals;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a subsemigroup of a semigroup S and Delta be a nonempty subset of [0, 1]. The aim of this paper is to discuss characterizations of fuzzy subsemigroups, fuzzy generalized bi-ideals, fuzzy bi-ideals, fuzzy left ideals, fuzzy right ideals and fuzzy ideals of a semigroup S by using soft sets over A x Delta, over A and over Delta. For a nonempty family {f(i) vertical bar i is an element of I} of fuzzy subsets of S, we show equivalent conditions for the fuzzy subset Lambda(i is an element of I) f(i) which is a fuzzy subsemigroup, a fuzzy generalized bi-ideal, a fuzzy bi-ideal, a fuzzy left ideal, a fuzzy right ideal and a fuzzy ideal of S by using soft sets over A x Delta and over Delta. Finally, regular semigroups are characterized by soft sets over S x [0, 1] and over S.

引用

页码：103 / 120

页数：18

共 15 条

[1] On some new operations in soft set theory [J].