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

Authors

  • Aiyared Iampan Department of Mathematics, School of Science, University of Phayao, Phayao 56000, Thailand https://orcid.org/0000-0002-0475-3320
  • Ramasamy Subasini Pollachi Institute of Engineering and Technology
  • Neelamegarajan Rajesh Rajah Serfoji Government College

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i4.5450

Keywords:

UP (BCC)-algebra, $\in$-set, $q$-set, $O$-set, $\varepsilon$-Lukasiewicz fuzzy sets , $\varepsilon$-Lukasiewicz fuzzy UP (BCC)-ideal

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.

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Published

2024-10-31

Issue

Vol. 17 No. 4: (October 2024)

Section

Nonlinear Analysis

License

Copyright (c) 2024 Aiyared Iampan, Ramasamy Subasini, Neelamegarajan Rajesh

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How to Cite

$\varepsilon$-Lukasiewicz fuzzy UP (BCC)-ideals: A new frontier in UP (BCC)-algebras. (2024). European Journal of Pure and Applied Mathematics, 17(4), 3209-3222. https://doi.org/10.29020/nybg.ejpam.v17i4.5450