Pythagorean fuzzy sets in UP-algebras and approximations

Akarachai Satirad; Ronnason Chinram; Aiyared Iampan

doi:10.3934/math.2021354

AIMS Mathematics (Apr 2021)

Pythagorean fuzzy sets in UP-algebras and approximations

Akarachai Satirad,
Ronnason Chinram,
Aiyared Iampan

Affiliations

Akarachai Satirad: 1. Department of Mathematics, School of Science, University of Phayao, Mae Ka, Phayao 56000, Thailand
Ronnason Chinram: 2. Algebra and Applications Research Unit, Division of Computational Science, Faculty of Science, Prince of Songkla University, Hat Yai, Songkhla 90110, Thailand
Aiyared Iampan: 1. Department of Mathematics, School of Science, University of Phayao, Mae Ka, Phayao 56000, Thailand

DOI: https://doi.org/10.3934/math.2021354
Journal volume & issue: Vol. 6, no. 6
pp. 6002 – 6032

Abstract

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The aim of this paper is to apply the concept of Pythagorean fuzzy sets to UP-algebras, and then we introduce five types of Pythagorean fuzzy sets in UP-algebras. In addition, we will also discuss the relationship between some assertions of Pythagorean fuzzy sets and Pythagorean fuzzy UP-subalgebras (resp., Pythagorean fuzzy near UP-filters, Pythagorean fuzzy UP-filters, Pythagorean fuzzy UP-ideals, Pythagorean fuzzy strong UP-ideals) in UP-algebras and study upper and lower approximations of Pythagorean fuzzy sets.

Published in AIMS Mathematics

ISSN: 2473-6988 (Online)
Publisher: AIMS Press
Country of publisher: United States
LCC subjects: Science: Mathematics
Website: http://www.aimspress.com/journal/Math

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