Work

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

Year: 2022

Type: article

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.

Source: International Journal of Analysis and Applications

DOI: 10.28924/2291-8639-20-2022-34

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

Institutions: Pibulsongkram Rajabhat University, University of Phayao, Rajamangala University of Technology Lanna, Nakhon Sawan Rajabhat University

Language: English

Topic: Fuzzy and Soft Set Theory

Subfield: Management Science and Operations Research

Field: Decision Sciences

Domain: Social Sciences

Open Access status: gold

Estimated APC paid: $450

Funders: University of Phayao, Thailand Science Research and Innovation