New types of rough Pythagorean fuzzy UP-filters of UP-algebras

Satirad, A.; Chinram, R.; Julatha, P.; Prasertpong, R.; Iampan, Aiyared

doi:10.22436/jmcs.028.03.03

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2023

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“…In 2020, Touqeer [40] proposed the concept of intuitionistic fuzzy soft α-ideals in BCI-algebras. In 2022, Satirad et al [24,26] analyzed π-level subsets of rough PFSs in order to apply the notion of rough sets to PFSs in UP-algebras. The same year, Satirad et al [33] explored the operations of PFSSs over UP-algebras and described π-level subsets of PFSSs.…”

Section: Introductionmentioning

confidence: 99%

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

Satirad¹,

Prasertpong²,

Julatha³

et al. 2023

J. Math. Computer Sci.

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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.

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