Characterizations of regular semigroups by (α, β)-fuzzy ideals

被引：63
|
作者：
Shabir, Muhammad [1 ]
Jun, Young Bae [2 ,3 ]
Nawaz, Yasir [4 ]
机构：
[1] Quaid I Azam Univ, Dept Math, Islamabad, Pakistan
[2] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea
[3] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea
[4] HITEC Univ, Dept Basic Sci, Taxila Cantt, Pakistan
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 01期
关键词：
(alpha; beta)-fuzzy subsemigroups; beta)-fuzzy ideals; beta)-fuzzy bi-ideals; beta)-fuzzy quasi-ideals; FUZZY; ELEMENT;
D O I：
10.1016/j.camwa.2009.07.062
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using the ideas of belonging and quasi-coincidence of a fuzzy point with a fuzzy set, the concepts of (alpha, beta)-fuzzy ideals and (alpha, beta)-fuzzy generalized bi-ideals, which are generalization of fuzzy ideals and fuzzy generalized bi-ideals, in a semigroup are introduced, and related properties are investigated. We also define the lower and upper parts of fuzzy subsets of a semigroup. Characterizations of regular semigroups by the properties of the lower part of (is an element of, is an element of boolean OR q)-fuzzy left ideals, (is an element of, is an element of boolean OR q)-fuzzy quasi-ideals and (is an element of, is an element of boolean OR q)-fuzzy generalized bi-ideals are given. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：161 / 175
页数：15
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