On the characterization of Pythagorean fuzzy subgroups

Supriya Bhunia; Ganesh  Ghorai; Qin Xin

doi:10.3934/math.2021058

On the characterization of Pythagorean fuzzy subgroups

Supriya Bhunia, Ganesh Ghorai, Qin Xin

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Abstract

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 language	English
Pages (from-to)	962 - 978
Number of pages	17
Journal	AIMS Mathematics
Volume	6
Issue number	1
DOIs	https://doi.org/10.3934/math.2021058
Publication status	Published - 5 Nov 2021

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abstract = "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.",

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On the characterization of Pythagorean fuzzy subgroups

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