Work

Fuzzy set theory applied to IUP-algebras

Year: 2024

Type: article

Abstract: In this article, we apply fuzzy set theory to IUP-algebras, introducing four new concepts: fuzzy IUP-subalgebras, fuzzy IUP-filters, fuzzy IUP-ideals, and fuzzy strong IUP-ideals, and examining their properties and relationships. We also found a relationship between characteristic functions and the four concepts of fuzzy sets. In addition, the concepts of prime subsets and prime fuzzy sets were also applied. The notions of upper \(t\)-(strong) level subsets and lower \(t\)-(strong) level subsets of a fuzzy set are introduced in IUP-algebras.

Source: Journal of Mathematics and Computer Science

DOI: 10.22436/jmcs.034.02.03

Authors: K. Kuntama, P. Krongchai, P. Prasertpong, P. Julatha, A. Iampan

Institutions: University of Phayao, Nakhon Sawan Rajabhat University, Pibulsongkram Rajabhat University

Language: English

Topic: Advanced Algebra and Logic

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

Funders: University of Phayao, Thailand Science Research and Innovation

Awards: G3090710080, G8223185877