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AIMS Mathematics
Article . 2021 . Peer-reviewed
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AIMS Mathematics
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AIMS Mathematics
Article . 2021
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Article . 2021
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https://dx.doi.org/10.3934/mat...
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On the characterization of Pythagorean fuzzy subgroups

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2021Publisher:American Institute of Mathematical Sciences (AIMS)Journal:AIMS Mathematics, volume 6, pages 962-978 (issn: 2473-6988, Copyright policy )
Authors: Supriya Bhunia; Ganesh Ghorai; Qin Xin;

doi: 10.3934/math.2021058

On the characterization of Pythagorean fuzzy subgroups

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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Keywords

Pythagorean fuzzy level subgroup, Pythagorean fuzzy normal subgroup, pythagorean fuzzy coset, pythagorean fuzzy subgroup, Fuzzy groups, Pythagorean fuzzy set, pythagorean fuzzy set, Pythagorean fuzzy coset, QA1-939, Pythagorean fuzzy subgroup, pythagorean fuzzy level subgroup, pythagorean fuzzy normal subgroup, Mathematics

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    popularity
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
13
Top 10%
Top 10%
Top 10%
gold
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