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
Note: [] Corresponding author. Jian Tang, School of Mathematics and Computational Science, Fuyang Normal College, Fuyang, Anhui, 236037, P.R. China. Tel.: +86 0558 2591133. E-mails: [email protected] (J. Tang); [email protected] (X.Y. Xie).
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.
