Pythagorean fuzzy sets in UP-algebras and approximations

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...

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Main Authors:	Akarachai Satirad, Ronnason Chinram, Aiyared Iampan
Format:	Article
Language:	English
Published:	AIMS Press 2021-04-01
Series:	AIMS Mathematics
Subjects:	up-algebra pythagorean fuzzy set pythagorean fuzzy up-subalgebra pythagorean fuzzy near up-filter pythagorean fuzzy up-filter pythagorean fuzzy up-ideal pythagorean fuzzy strong up-ideal upper approximation lower approximation
Online Access:	http://www.aimspress.com/article/doi/10.3934/math.2021354?viewType=HTML

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spelling	doaj-959e700f227343e781d3b960dc662b4d2021-04-09T01:27:17ZengAIMS PressAIMS Mathematics2473-69882021-04-01666002603210.3934/math.2021354Pythagorean fuzzy sets in UP-algebras and approximationsAkarachai Satirad0Ronnason Chinram1Aiyared Iampan 21. Department of Mathematics, School of Science, University of Phayao, Mae Ka, Phayao 56000, Thailand2. Algebra and Applications Research Unit, Division of Computational Science, Faculty of Science, Prince of Songkla University, Hat Yai, Songkhla 90110, Thailand1. Department of Mathematics, School of Science, University of Phayao, Mae Ka, Phayao 56000, ThailandThe 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.http://www.aimspress.com/article/doi/10.3934/math.2021354?viewType=HTMLup-algebrapythagorean fuzzy setpythagorean fuzzy up-subalgebrapythagorean fuzzy near up-filterpythagorean fuzzy up-filterpythagorean fuzzy up-idealpythagorean fuzzy strong up-idealupper approximationlower approximation
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Akarachai Satirad Ronnason Chinram Aiyared Iampan
spellingShingle	Akarachai Satirad Ronnason Chinram Aiyared Iampan Pythagorean fuzzy sets in UP-algebras and approximations AIMS Mathematics up-algebra pythagorean fuzzy set pythagorean fuzzy up-subalgebra pythagorean fuzzy near up-filter pythagorean fuzzy up-filter pythagorean fuzzy up-ideal pythagorean fuzzy strong up-ideal upper approximation lower approximation
author_facet	Akarachai Satirad Ronnason Chinram Aiyared Iampan
author_sort	Akarachai Satirad
title	Pythagorean fuzzy sets in UP-algebras and approximations
title_short	Pythagorean fuzzy sets in UP-algebras and approximations
title_full	Pythagorean fuzzy sets in UP-algebras and approximations
title_fullStr	Pythagorean fuzzy sets in UP-algebras and approximations
title_full_unstemmed	Pythagorean fuzzy sets in UP-algebras and approximations
title_sort	pythagorean fuzzy sets in up-algebras and approximations
publisher	AIMS Press
series	AIMS Mathematics
issn	2473-6988
publishDate	2021-04-01
description	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.
topic	up-algebra pythagorean fuzzy set pythagorean fuzzy up-subalgebra pythagorean fuzzy near up-filter pythagorean fuzzy up-filter pythagorean fuzzy up-ideal pythagorean fuzzy strong up-ideal upper approximation lower approximation
url	http://www.aimspress.com/article/doi/10.3934/math.2021354?viewType=HTML
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Pythagorean fuzzy sets in UP-algebras and approximations

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