Affiliations: [a] Department of Mathematics, University of Tabuk, Saudi Arabia
| [b] Department of Mathematics, Aligarh Muslim University, India
Correspondence:
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Correspondence to: Ahsan Mahboob, Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India. E-mail: khanahsan56@gmail.com
Abstract: 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.
