Pythagorean fuzzy KU-subalgebras of KU-algebras

Volume 35, Issue 1, pp 16--24 https://dx.doi.org/10.22436/jmcs.035.01.02

Publication Date: April 11, 2024 Submission Date: October 11, 2023 Revision Date: March 03, 2024 Accteptance Date: March 18, 2024

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Authors

S. Meesri - Department of Mathematics, Faculty of Science, Mahasarakham University, Maha Sarakham 44150, Thailand. T. Jodnok - Division of Mathematics, Faculty of Science and Technology, Surindra Rajabhat University, Surin 32000, Thailand. W. Nakkhasen - Department of Mathematics, Faculty of Science, Mahasarakham University, Maha Sarakham 44150, Thailand.

Abstract

The concept of Pythagorean fuzzy sets was introduced by Yager in 2013. It is a generalization of the concepts of fuzzy sets and intuitionistic fuzzy sets. The aim of this study was to apply the concept of Pythagorean fuzzy sets to clarify in KU-algebras. The notion of Pythagorean fuzzy KU-subalgebras of KU-algebras is introduced. Then, we give some fundamental properties of Pythagorean fuzzy KU-subalgebras in KU-algebras. Finally, we investigate the relationships between the image and the preimage of Pythagorean fuzzy KU-subalgebras under a homomorphism of KU-algebras.

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Keywords

• KU-subalgebra
• Pythagorean fuzzy set
• Pythagorean fuzzy KU-subalgebra

MSC

•  08A72
•  08A30

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