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
收藏
页码：997 / 1015
页数：19
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