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Some operations of fuzzy sets in UP-algebras with respect to a triangular norm

P. Burandate¹

and

A. Iampan^1*

1Department of Mathematics, School of Science, University of Phayao, Phayao 56000, Thailand

* Corresponding Author: A. Iampan. Email:

Annals of Communications in Mathematics 2019, 2 (1), 1-10. https://doi.org/10.62072/acm.2019.020101

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Abstract

This paper aim is to apply the notions of the intersection and the union of any fuzzy set to UP-algebras. We investigate properties of the intersection and the union of T-fuzzy UP-subalgebras, T-fuzzy near UP-filters, T-fuzzy UP-filters, T-fuzzy UPideals, T-fuzzy strongly UP-ideals, anti-T-fuzzy UP-subalgebras, and anti-T-fuzzy near UP-filters of UP-algebras.

Keywords

T-fuzzy near UP-filter; T-fuzzy strongly UP-ideal; T-fuzzy UP-filter; T-fuzzy UP-ideal; T-fuzzy UP-subalgebra; UP-algebra

Cite This Article

S. Thongarsa, P. Burandate, A. Iampan.

Some operations of fuzzy sets in UP-algebras with respect to a triangular norm.

Annals of Communications in Mathematics

2019,

2 (1):

1-10.

https://doi.org/10.62072/acm.2019.020101

Copyright © 2019 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).