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.
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