Anti-type of Hesitant Fuzzy Sets on UP-algebras

Phakawat Mosrijai, Aiyared Iampan

Abstract

This paper aims to introduce the notions of anti-hesitant fuzzy UP-subalgebras of UP-algebras, anti-hesitant fuzzy UP-filters, anti-hesitant fuzzy UP-ideals, and anti-hesitant fuzzy strongly UP-ideals, and prove some results. Furthermore, we discuss the relationships between anti-hesitant fuzzy UP-subalgebras (resp., anti-hesitant fuzzy UP-filters, anti-hesitant fuzzy UP-ideals, anti-hesitant fuzzy strongly UP-ideals) and some level subsets of hesitant fuzzy sets on UP-algebras.

Keywords

UP-algebra, anti-hesitant fuzzy strongly UP-ideal, anti-hesitant fuzzy UP-ideal, anti-hesitant fuzzy UP-filter and anti-hesitant fuzzy UP-subalgebra.

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