Fermatean Fuzzy Set Theory Applied to IUP-algebras
DOI:
https://doi.org/10.29020/nybg.ejpam.v17i4.5367Keywords:
IUP-algebra, Fermatean fuzzy set, Fermatean fuzzy IUP-subalgebra, Fermatean fuzzy IUP-ideal, Fermatean fuzzy IUP-filter, Fermatean fuzzy strong IUP-idealAbstract
In 1965, Zadeh introduced the foundational concept of fuzzy sets, followed by Atanassov’s introduction of intuitionistic fuzzy sets in 1986. Yager expanded this field with Pythagorean fuzzy sets in 2013, and in 2020, Senapati and Yager further advanced the theory by proposing Fermatean fuzzy sets. This study applies Fermatean fuzzy sets to IUP-algebras, focusing on Fermatean fuzzy IUP-subalgebras, IUP-ideals, IUP-filters, and strong IUP-ideals. We examine their properties, including characteristic Fermatean fuzzy sets and upper and lower t-(strong) level subsets, offering deeper insights into their structural relationships.
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Copyright (c) 2024 Kannirun Suayngam, Rukchart Prasertpong, Nareupanat Lekkoksung, Pongpun Julatha, Aiyared Iampan
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