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

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 π-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.