On the characterization of Pythagorean fuzzy subgroups

Supriya Bhunia, Ganesh Ghorai, Qin Xin

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)
200 Downloads (Pure)


Pythagorean fuzzy environment is the modern tool for handling uncertainty in many decisions making problems. In this paper, we represent the notion of Pythagorean fuzzy subgroup (PFSG) as a generalization of intuitionistic fuzzy subgroup. We investigate various properties of our proposed fuzzy subgroup. Also, we introduce Pythagorean fuzzy coset and Pythagorean fuzzy normal subgroup (PFNSG) with their properties. Further, we define the notion of Pythagorean fuzzy level subgroup and establish related properties of it. Finally, we discuss the effect of group homomorphism on Pythagorean fuzzy subgroup.
Original languageEnglish
Pages (from-to)962 - 978
Number of pages17
JournalAIMS Mathematics
Issue number1
Publication statusPublished - 5 Nov 2021


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