On the characterization of Pythagorean fuzzy subgroups

Supriya Bhunia; Ganesh Ghorai; Qin Xin

doi:10.3934/math.2021058

AIMS Mathematics (Nov 2021)

On the characterization of Pythagorean fuzzy subgroups

Supriya Bhunia,
Ganesh Ghorai,
Qin Xin

Affiliations

Supriya Bhunia: 1 Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore 721102, India
Ganesh Ghorai: 1 Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore 721102, India
Qin Xin: 2 Faculty of Science and Technology, University of the Faroe Islands, Vestarabryggja 15, FO 100 Torshavn, Faroe Islands

DOI: https://doi.org/10.3934/math.2021058
Journal volume & issue: Vol. 6, no. 1
pp. 962 – 978

Abstract

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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.

Published in AIMS Mathematics

ISSN: 2473-6988 (Online)
Publisher: AIMS Press
Country of publisher: United States
LCC subjects: Science: Mathematics
Website: http://www.aimspress.com/journal/Math

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