Characterizations of regular ordered semigroups by generalized fuzzy ideals

Authors:
Jian Tang;Xiangyun Xie
Affiliations:
School of Mathematics and Computational Science, Fuyang Normal College, Fuyang, Anhui, P.R. China;School of Mathematics and Computational Science, Wuyi University, Jiangmen, Guangdong, P.R. China
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Year:
2014

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Abstract

Let S be an ordered semigroup. In this paper we first introduce the concepts of ∈, ∈ ∨ qk-fuzzy ideals, ∈, ∈ ∨ qk-fuzzy bi-ideals and ∈, ∈ ∨ qk-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 ∈, ∈ ∨ qk-fuzzy left ideals, ∈, ∈ ∨ qk-fuzzy right ideals and ∈, ∈ ∨ qk-fuzzy generalized bi-ideals are given.