Rough Pythagorean Fuzzy Sets in UP-Algebras

Satirad, Akarachai; Chinram, Ronnason; Julatha, Pongpun; Iampan, Aiyared

doi:10.29020/nybg.ejpam.v15i1.4254

Cited by 1 publication

(5 citation statements)

References 16 publications

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“…Satirad et al [33] proved that the concept of PFSBCCSs is a generalization of PFSNBCCFs, PFSNBC-CFs is a generalization of PFSBCCFs, PFSBCCFs is a generalization of PFSBCCIs, and PFSBCCIs is a generalization of PFSsBCCIs, according to Satirad et al [33]. Additionally, they demonstrated that in , PFSsBCCIs and CPFSSs coincide.…”

Section: Definition 23 ([33]mentioning

confidence: 99%

“…The restricted union [33] of ( Ẅ1 , A 1 ) and ( Ẅ2 , A 2 ) is defined to be the PFSS ( Ẅ1 , A 1 ) ( Ẅ2 , A 2 ) = ( Ẅ, A) fulfilling the necessary prerequisites:…”

Section: Definition 26 ([21]mentioning

confidence: 99%

“…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%

“…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. The concepts of UP-algebras (see [7]) and BCC-algebras (see [18]) are the same concept, as shown by Jun et al [14] in 2022.…”

Section: Introductionmentioning

confidence: 99%

“…The example below demonstrates how Theorem 2 33. is invalid if the statistics sets of two PFScBCCFs are not disjoint.…”

mentioning

confidence: 99%

See 4 more Smart Citations

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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Section: Definition 23 ([33]mentioning

confidence: 99%

“…The restricted union [33] of ( Ẅ1 , A 1 ) and ( Ẅ2 , A 2 ) is defined to be the PFSS ( Ẅ1 , A 1 ) ( Ẅ2 , A 2 ) = ( Ẅ, A) fulfilling the necessary prerequisites:…”

Section: Definition 26 ([21]mentioning

confidence: 99%