Anti-type of Hesitant Fuzzy Sets on UP-algebras

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v11i4.3335

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.

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.

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Published

2018-10-24

Issue

Vol. 11 No. 4: (October 2018)

Section

Discrete Mathematics

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Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

Anti-type of Hesitant Fuzzy Sets on UP-algebras. (2018). European Journal of Pure and Applied Mathematics, 11(4), 976-1002. https://doi.org/10.29020/nybg.ejpam.v11i4.3335