(inf, sup)-Hesitant Fuzzy Ideals of BCK/BCI-Algebras

Author:

Ratchakhwan Noppakao,Julatha Pongpun,Gaketem Thiti,Khamrot Pannawit,Prasertpong Rukchart,Iampan Aiyared

Abstract

In this paper, we introduce the concept of (inf, sup)-hesitant fuzzy ideals, which is a generalization of the concept of interval-valued fuzzy ideals, in BCK/BCI-algebras and its related properties are investigated. The concept is established in terms of sets, fuzzy sets, negative fuzzy sets, interval-valued fuzzy sets, Pythagorean fuzzy sets, bipolar fuzzy sets and hesitant fuzzy sets. Moreover, characterizations of ideals, fuzzy ideals, anti-fuzzy ideals, negative fuzzy ideals, Pythagorean fuzzy ideals and bipolar fuzzy ideals of BCK/BCI-algebras are discussed in terms of (inf, sup)-hesitant fuzzy ideals and interval-valued fuzzy ideals.

Publisher

SCIK Publishing Corporation

Subject

Applied Mathematics,Geometry and Topology,Business and International Management,Analysis

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. (inf, sup)-HESITANT FUZZY BI-IDEALS OF SEMIGROUPS;J APPL MATH INFORM;2023

2. New Generalizations of sup-Hesitant Fuzzy Ideals of Semigroups;International Journal of Analysis and Applications;2022-11-01

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