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Hesitant fuzzy ideal extension in po-semigroups. (English) Zbl 1414.06005

Summary: 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.

MSC:

06F05 Ordered semigroups and monoids
06B10 Lattice ideals, congruence relations
20N25 Fuzzy groups
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