Three new concepts of Pythagorean fuzzy soft UP (BCC)-filters

Volume 31, Issue 3, pp 318--337 http://dx.doi.org/10.22436/jmcs.031.03.07

Publication Date: May 16, 2023 Submission Date: December 30, 2022 Revision Date: January 28, 2023 Accteptance Date: February 07, 2023

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Authors

A. Satirad - Fuzzy Algebras and Decision-Making Problems Research Unit, Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao 56000, Thailand. R. Prasertpong - Division of Mathematics and Statistics, Faculty of Science and Technology, Nakhon Sawan Rajabhat University, Nakhon Sawan 60000, Thailand. P. Julatha - Department of Mathematics, Faculty of Science and Technology, Pibulsongkram Rajabhat University, Phitsanulok 65000, Thailand. R. Chinram - School of Mathematics, University of the Witwatersrand, Hat Yai, Songkhla 90110, Thailand. P. Singavananda - Program in Mathematics, Faculty of Science and Technology, Songkha Rajabhat University, Songkhla 90000, Thailand. A. Iampan - Fuzzy Algebras and Decision-Making Problems Research Unit, Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao 56000, Thailand.

Abstract

This paper seeks to introduce novel concepts on Pythagorean fuzzy soft sets (PFSSs) over UP (BCC)-algebras. Then, we give three different types of PFSSs over UP (BCC)-algebras and look into their generalization. We also find the results of four operations over UP (BCC)-algebras performed on two PFSSs: union, restricted union, intersection, and extended intersection. We also discuss \(\t\)-level subsets of PFSSs over UP (BCC)-algebras as a final step in our inquiry into the relationships between special subsets of UP (BCC)-algebras and PFSSs.

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Keywords

• UP (BCC)-algebra
• Pythagorean fuzzy set
• Pythagorean fuzzy soft set
• operation
• \(\t\)-level subset

MSC

•  03G25
•  03E72
•  08A72

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