HESITANT FUZZY IDEAL EXTENSION IN PO-SEMIGROUPS

M. Y. ABBASI1, A. F. TALEE1, X. Y. XIE2, S. A. KHAN1

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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.

Keywords

Hesitant fuzzy ideal, hesitant fuzzy ideal extension, hesitant fuzzy (prime, semiprime)ideal, 3-prime hesitant fuzzy ideal