Work

SBE-Algebras via Intuitionistic Fuzzy Structures

Year: 2024

Type: article

Abstract: The study introduces the concept of intuitionistic fuzzy SBE-subalgebras, ideals, and filters, along with level sets of intuitionistic fuzzy sets within the framework of Sheffer stroke BE-algebras. These concepts are shown to be crucial for understanding the behavior of intuitionistic fuzzy logic in this algebraic structure. The study further establishes a bidirectional relationship between subalgebras, ideals, filters, and their respective level sets on Sheffer stroke BE-algebras, demonstrating that the level set of an intuitionistic fuzzy SBE-subalgebra, ideal, or filter is itself a subalgebra, ideal, or filter on this algebra, and vice versa.

Source: Mathematics

DOI: 10.3390/math12244038

Authors: Tahsin Oner, Hashem Bordbar, Neelamegarajan Rajesh, Akbar Rezaei

Institutions: Ege University, University of Nova Gorica, Rajah Serfoji Government College (Autonomous), Payame Noor University

Language: English

Topic: Advanced Algebra and Logic

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

Funder: Javna Agencija za Raziskovalno Dejavnost RS