Ordered semigroups characterized in terms of generalized fuzzy ideals

被引：16

作者：

Khan, Noor Mohammad ^{[1
]}

Davvaz, Bijan ^{[2
]}

Khan, Mohammad Aasim ^{[1
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh, Uttar Pradesh, India

[2] Yazd Univ, Dept Math, Yazd, Iran

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2017年 / 32卷 / 01期

关键词：

Fuzzy ideals; (is an element of; is an element of boolean OR(k*; q(k)))-fuzzy ideals; regular; completely regular and left weakly regular ordered semigroups; BI-IDEALS; ELEMENT; (IS-AN-ELEMENT-OF; RINGS;

D O I：

10.3233/JIFS-16339

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In the present paper, the notions of (k*, q)-quasi-coincident, (is an element of, is an element of boolean OR(k*, q(k)))-fuzzy left ideal, (is an element of, is an element of boolean OR(k*, q(k)))fuzzy right ideal and (is an element of, is an element of boolean OR(k*, q(k)))-fuzzy generalized bi-ideal of an ordered semigroup are introduced. The (k* k)-lower parts of an (is an element of, is an element of boolean OR(k*, q(k)))-fuzzy left ideal, (is an element of, is an element of boolean OR(k*, q(k)))-fuzzy right ideal and (is an element of, is an element of boolean OR(k*, q(k)))-fuzzy generalized bi-ideal are also defined. Then, we characterize these various fuzzy ideals. Finally, using the properties of these fuzzy ideals, we characterize regular, left regular, right regular, completely regular and left weakly regular ordered semigroups.

引用

页码：1045 / 1057

页数：13

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