PYTHAGOREAN FUZZY SETS: A NEW PERSPECTIVE ON IUP-ALGEBRAS

被引：0
|
作者：
Suayngam, Kannirun [1 ]
Prasertpong, Rukchart [2 ]
Nakkhasen, Warud [3 ]
Julatha, Pongpun [4 ]
Iampan, Aiyared [1 ]
机构：
[1] Department of Mathematics, School of Science, University of Phayao, 19 Moo 2, Tambon Mae Ka, Amphur Mueang, Phayao, 56000, Thailand
[2] Division of Mathematics and Statistics, Faculty of Science and Technology, Nakhon Sawan Rajabhat University, 398 Moo 9, Tambon Nakhon Sawan Tok, Amphur Mueang, Nakhon Sawan,60000, Thailand
[3] Department of Mathematics, Faculty of Science, Mahasarakham University, 41/20 Tambon Khamriang, Amphur Kantarawichai, Maha Sarakham, 44150, Thailand
[4] Department of Mathematics, Faculty of Science and Technology, Pibulsongkram Rajabhat University, 156 Moo 5, Tambon Phlai Chumphon, Amphur Mueang, Phitsanulok,65000, Thailand
来源：
International Journal of Innovative Computing, Information and Control | 2025年 / 21卷 / 02期
关键词：
Fuzzy filters;
D O I：
10.24507/ijicic.21.02.339
中图分类号：
学科分类号：
摘要：
Zadeh introduced the concept of fuzzy sets in 1965. In 1986, Atanassov introduced intuitionistic fuzzy sets, a generalization of fuzzy sets. Pythagorean fuzzy sets are a recent extension of intuitionistic fuzzy sets introduced by Yager. The aim of this study is to apply the concept of Pythagorean fuzzy sets to IUP-algebras and introduce the notions of Pythagorean fuzzy IUP-subalgebras, Pythagorean fuzzy IUP-ideals, Pythagorean fuzzy IUP-filters, and Pythagorean fuzzy strong IUP-ideals. The study identified a relationship between four concepts, showing that Pythagorean fuzzy IUP-ideals and Pythagorean fuzzy IUP-subalgebras are generalizations of Pythagorean fuzzy strong IUP-ideals in IUP-algebras, where the latter can only be a constant Pythagorean fuzzy set. Additionally, Pythagorean fuzzy IUP-filters were found to be a further generalization of Pythagorean fuzzy IUP-ideals and IUP-subalgebras. Their properties are investigated, and the characteristic Pythagorean fuzzy sets, the upper t-(strong) level subsets, and the lower t-(strong) level subsets of the Pythagorean fuzzy set are studied. © 2025 ICIC International.
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页码：339 / 357
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