Fuzzy bipolar soft semiprime ideals in ordered semigroups

Abstract

FBS left ideal FBS right ideal FB ideal FBS semiprime ideal FBS prime idealIn this paper, we introduce fuzzy bipolar soft semiprimality in the structure of ordered semigroups and investigate some properties of the concept. Moreover, ordered semigroups and their some classes are characterized by means of fuzzy bipolar soft semiprimality. Finally, the Cartesian product of fuzzy bipolar soft semiprime (resp., prime) ideals over ordered semigroups is examined. Some of the ideas are supported by apt examples.

A Fuzzy Semibipolar Soft Filter and its Association with Green's Relation $\mathcal{N}$

“…Furthermore, they verified a comparative analysis of fuzzy soft expert sets and fuzzy bipolar soft sets. To solve uncertainty in algebraic structures, Hakim et al [6] introduced the notion of fuzzy bipolar soft prime ideal theory in ordered semigroups. Recently, the concept of fuzzy semibipolar soft sets was developed as one of the important dimensions of fuzzy bipolar soft sets.…”