Subalgebras and Ideals in BCK/BCI-algebras Based on Uni-hesitant Fuzzy Set Theory

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v11i2.3246

Keywords:

Uni-hesitant fuzzy algebra, (Closed) uni-hesitant fuzzy ideal

Abstract

In the present paper, the notions of uni-hesitant fuzzy algebras and uni-hesitant fuzzy (closed) ideals in BCK-algebras and BCI-algebras are introduced, and several related properties are investigated. Characterizations of uni-hesitant fuzzy algebras and uni-hesitant fuzzy (closed) ideals are considered, and a new uni-hesitant fuzzy algebra (resp. uni-hesitant fuzzy (closed) ideal) from old one is established. Relations between uni-hesitant fuzzy algebras and uni-hesitant fuzzy (closed) ideals are discussed, and conditions for a uni-hesitant fuzzy ideal to be hesitant closed are provided.

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Published

2018-04-27

Issue

Vol. 11 No. 2: (April 2018)

Section

Game Theory

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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

Subalgebras and Ideals in BCK/BCI-algebras Based on Uni-hesitant Fuzzy Set Theory. (2018). European Journal of Pure and Applied Mathematics, 11(2), 417-430. https://doi.org/10.29020/nybg.ejpam.v11i2.3246