The concept of an (∈ , ∈ ∨ (k*, qk))-fuzzy semiprime subset in an ordered semigroup is introduced, and investigate the properties of (∈ , ∈ ∨ (k*, qk))-fuzzy generalized bi-ideals by concerning the (∈ , ∈ ∨ (k*, qk))-fuzzy semiprime subsets. Moreover, some properties of (∈ , ∈ ∨ (k*, qk))-fuzzy semiprime subsets are defined in terms of its (k*, k)-lower part. Finally, completely regular ordered semigroups are characterized in terms of its (∈ , ∈ ∨ (k*, qk))-fuzzy semiprime generalized bi-ideals and their (k*, k)-lower parts.
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