On fuzzy soft bi-ideals over semigroups

Abstract

The aim of this paper is to study fuzzy soft bi-ideals over semigroups and give some properties of prime, strongly prime and semiprime fuzzy soft bi-ideals over semigroups. We also show that a semigroup is both regular and intra-regular if and only if every fuzzy soft bi-ideal over the semigroup is a semiprime.

Keywords

• prime fuzzy soft bi-ideal
• strongly prime fuzzy soft bi-ideal
• semiprime fuzzy soft bi-idea