Work

$\varepsilon$-Lukasiewicz fuzzy UP (BCC)-ideals: A new frontier in UP (BCC)-algebras

Year: 2024

Type: article

Abstract: This paper presents the development of $\varepsilon$-Lukasiewicz fuzzy sets using the Lukasiewicz $t$-norm derived from a given fuzzy set. These $\varepsilon$-Lukasiewicz fuzzy sets are subsequently applied to UP (BCC)-algebras. In addition, the paper introduces the concept of $\varepsilon$-Lukasiewicz fuzzy UP (BCC)-ideals and examines their various properties. Three specific subsets, termed the $\in$-set, $q$-set, and $O$-set, are constructed, with an exploration of the conditions under which these subsets qualify as UP (BCC)-ideals.

Source: European Journal of Pure and Applied Mathematics

DOI: 10.29020/nybg.ejpam.v17i4.5450

Authors: Aiyared Iampan, Ramasamy Subasini, Neelamegarajan Rajesh

Institutions: University of Phayao, Rajah Serfoji Government College (Autonomous)

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

OpenAlex ID: W4403934007

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