In the present paper, the notions of (k*, q)-quasi-coincident, (∈ , ∈ ∨ (k*, qk))-fuzzy left ideal, (∈ , ∈ ∨ (k*, qk))-fuzzy right ideal and (∈ , ∈ ∨ (k*, qk))-fuzzy generalized bi-ideal of an ordered semigroup are introduced. The (k*, k)-lower parts of an (∈ , ∈ ∨ (k*, qk))-fuzzy left ideal, (∈ , ∈ ∨ (k*, qk))-fuzzy right ideal and (∈ , ∈ ∨ (k*, qk))-fuzzy generalized bi-ideal are also defined. Then, we characterize these various fuzzy ideals. Finally, using the properties of these fuzzy ideals, we characterize regular, left regular, right regular, completely regular and left weakly regular ordered semigroups.
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