Characterizations of regular ordered semigroups by generalized fuzzy ideals

被引：16
|
作者：
Tang, Jian [1 ]
Xie, Xiangyun [2 ]
机构：
[1] Fuyang Normal Coll, Sch Math & Computat Sci, Fuyang 236037, Anhui, Peoples R China
[2] Wuyi Univ, Sch Math & Computat Sci, Jiangmen, Guangdong, Peoples R China
来源：
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2014年 / 26卷 / 01期
关键词：
Regular ordered semigroup; intra-regular ordered semigroup; strongly convex fuzzy subset; (is an element of; is an element of Vq(k))-fuzzy left (right) ideal; is an element of Vq(k))-fuzzy (generalized) bi-ideal; BI-IDEALS; H-IDEALS; HEMIRINGS; TERMS; SUBGROUP; SUBSETS; SETS;
D O I：
10.3233/IFS-120731
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Let S be an ordered semigroup. In this paper we first introduce the concepts of (is an element of, is an element of Vq(k))-fuzzy ideals, (is an element of, is an element of Vq(k))-fuzzy bi-ideals and (is an element of, is an element of Vq(k))-fuzzy generalized bi-ideals of an ordered semigroup S by the ordered fuzzy points of S, and investigate their related properties. Furthermore, characterizations of regular ordered semigroups by the properties of (is an element of, is an element of Vq(k))-fuzzy left ideals, (is an element of, is an element of Vq(k))-fuzzy right ideals and (is an element of, is an element of Vq(k))-fuzzy (generalized) bi-ideals are given.
引用
收藏
页码：239 / 252
页数：14
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