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

Section

Game Theory

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

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