Hesitant fuzzy ideal extension in po-semigroups

Abstract

In this paper, the notions of extension of hesitant fuzzy ideals, hesitant fuzzy prime ideals, hesitant fuzzy semiprime ideals and hesitant 3-prime fuzzy ideals in po-semigroups are introduced with some of their properties are investigated. We discuss the relationship between between prime(semi prime) ideals and 3-prime ideals in po-semigroup by means of the extensions hesitant fuzzy ideals.