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.
引用
收藏
页码：339 / 357
相关论文
共 50 条
  • [21] The n-Pythagorean Fuzzy Sets
    Bryniarska, Anna
    SYMMETRY-BASEL, 2020, 12 (11): : 1 - 9
  • [22] Distance Measure of Pythagorean Fuzzy Sets
    Li, Deqing
    Zeng, Wenyi
    INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2018, 33 (02) : 348 - 361
  • [23] Research on Evaluation of Sustainable Development of New Urbanization from the Perspective of Urban Agglomeration under the Pythagorean Fuzzy Sets
    Meng, Lingyan
    Wei, Xiaoyan
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2021, 2021
  • [24] Generalized Pythagorean fuzzy sets and new decision-making methodMurat
    Kirisci, Murat
    SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, 2022, 40 (04): : 806 - 813
  • [25] A new similarity function for Pythagorean fuzzy sets with application in football analysis
    Li, Rongfeng
    Ejegwa, Paul Augustine
    Li, Kun
    Agaji, Iorshase
    Feng, Yuming
    Onyeke, Idoko Charles
    AIMS MATHEMATICS, 2024, 9 (02): : 4990 - 5014
  • [26] Algebras of fuzzy sets
    Bosnjak, I.
    Madarasz, R.
    Vojvodic, G.
    FUZZY SETS AND SYSTEMS, 2009, 160 (20) : 2979 - 2988
  • [27] Distance and similarity measures for Pythagorean fuzzy sets
    Paul Augustine Ejegwa
    Granular Computing, 2020, 5 : 225 - 238
  • [28] Extending Set Measures to Pythagorean Fuzzy Sets
    Ronald R. Yager
    International Journal of Fuzzy Systems, 2019, 21 : 343 - 354
  • [29] Distance and similarity measures for Pythagorean fuzzy sets
    Ejegwa, Paul Augustine
    GRANULAR COMPUTING, 2020, 5 (02) : 225 - 238
  • [30] ROUGH CUBIC PYTHAGOREAN FUZZY SETS IN SEMIGROUP
    Chinnadurai, V
    Arulselvam, A.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2022, 12 (02): : 755 - 767
12345