Work

Rough and T-Rough Sets Arising from Intuitionistic Fuzzy Ideals in BCK-Algebras

Year: 2024

Type: article

Abstract: This paper presents the novel concept of rough intuitionistic fuzzy ideals within the realm of BCK-algebras and investigates their fundamental properties. Furthermore, we introduce a set-valued homomorphism over a BCK-algebra, laying the foundation for the establishment of T-rough intuitionistic fuzzy ideals. The characterization of these innovative ideals is accomplished by employing the (α,β)-cut of intuitionistic fuzzy sets in the context of BCK-algebras.

Source: Mathematics

DOI: 10.3390/math12182925

Authors: Kholood M. Alsager, Sheza M. El-Deeb

Institution: Qassim 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: $2,955

OpenAlex ID: W4402680030

FWCI: 0.924

Cites: 22

Cited by: 3

Related to: 10