Characterization of Ordered Semigroups in Terms of Fuzzy Soft Ideals

被引：0

作者：

Yin, Yunqiang ^{[1
,2
]}

Zhan, Jianming ^{[3
]}

机构：

[1] E China Inst Technol, Key Lab Radioact Geol & Explorat Technol Fundamen, Fuzhou 344000, Jiangxi, Peoples R China

[2] E China Inst Technol, Sch Math & Informat Sci, Fuzhou 344000, Jiangxi, Peoples R China

[3] Hubei Univ Nationalities, Dept Math, Enshi 445000, Hubei Province, Peoples R China

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2012年 / 35卷 / 04期

关键词：

Ordered semigroups; left quasi-regular; intra-regular; fuzzy soft set; (is an element of(gamma); is an element of(gamma) Vq(delta))-fuzzy soft left (right) ideals; is an element of(gamma) Vq(delta))-fuzzy soft bi-ideals (quasi-ideals); BCK/BCI-ALGEBRAS; SET-THEORY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we apply the concept of fuzzy soft sets to ordered semigroup theory. The concepts of (is an element of(gamma), is an element of(gamma) Vq(delta))-fuzzy left (right) ideals, (is an element of(gamma), is an element of(gamma) Vq(delta))-fuzzy bi-ideals and (is an element of(gamma), is an element of(gamma) Vq(delta))-fuzzy quasi-ideals are introduced and some related properties are obtained. Three kinds of lattice structures of the set of all (is an element of(gamma), is an element of(gamma) Vq(delta))-fuzzy soft left (right) ideals of an ordered semigroup are derived. The characterization of left quasi-regular ordered semigroups and ordered semigroups that are left quasi-regular and intra-regular in terms of (is an element of(gamma), is an element of(gamma) Vq(delta))-fuzzy left (right) ideals, (is an element of(gamma), is an element of(gamma) Vq(delta))-fuzzy bi-ideals and (is an element of(gamma), is an element of(gamma) Vq(delta))-fuzzy quasi-ideals is discussed.

引用

页码：997 / 1015

页数：19

共 15 条

[1] Soft sets and soft rings [J].