On the Algebraic Attributes of (α, β)-Pythagorean Fuzzy Subrings and (α, β)-Pythagorean Fuzzy Ideals of Rings

Supriya Bhunia; Ganesh Ghorai; Qin Xin; Muhammad Gulzar

doi:10.1109/ACCESS.2022.3145376

On the Algebraic Attributes of (α, β)-Pythagorean Fuzzy Subrings and (α, β)-Pythagorean Fuzzy Ideals of Rings

Supriya Bhunia
, Ganesh Ghorai
, Qin Xin
, Muhammad Gulzar^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

(alpha,beta) -Pythagorean fuzzy set is a very efficient way of dealing with uncertainty. In this article, we have introduced the notions of (alpha,beta) - Pythagorean fuzzy subring and (alpha,beta) - Pythagorean fuzzy ideal of a ring. Further, we have briefly described various results related to it. Also, we have discussed the level subring of an (alpha,beta) - Pythagorean fuzzy subring. Moreover, we have studied the direct product and ring homomorphism of (alpha,beta) - Pythagorean fuzzy subrings.

Original language	English
Pages (from-to)	11048-11056
Number of pages	9
Journal	IEEE Access
Volume	10
DOIs	https://doi.org/10.1109/ACCESS.2022.3145376
State	Published - 2022
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2013 IEEE.

Keywords

(α, β)-PFID
(α, β)-PFLSR
(α, β)-PFS
(α, β)-PFSR

ASJC Scopus subject areas

General Computer Science
General Materials Science
General Engineering

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10.1109/ACCESS.2022.3145376

Cite this

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title = "On the Algebraic Attributes of (α, β)-Pythagorean Fuzzy Subrings and (α, β)-Pythagorean Fuzzy Ideals of Rings",

abstract = "(alpha,beta) -Pythagorean fuzzy set is a very efficient way of dealing with uncertainty. In this article, we have introduced the notions of (alpha,beta) - Pythagorean fuzzy subring and (alpha,beta) - Pythagorean fuzzy ideal of a ring. Further, we have briefly described various results related to it. Also, we have discussed the level subring of an (alpha,beta) - Pythagorean fuzzy subring. Moreover, we have studied the direct product and ring homomorphism of (alpha,beta) - Pythagorean fuzzy subrings.",

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author = "Supriya Bhunia and Ganesh Ghorai and Qin Xin and Muhammad Gulzar",

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language = "English",

volume = "10",

pages = "11048--11056",

journal = "IEEE Access",

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T1 - On the Algebraic Attributes of (α, β)-Pythagorean Fuzzy Subrings and (α, β)-Pythagorean Fuzzy Ideals of Rings

AU - Bhunia, Supriya

AU - Ghorai, Ganesh

AU - Xin, Qin

AU - Gulzar, Muhammad

PY - 2022

Y1 - 2022

N2 - (alpha,beta) -Pythagorean fuzzy set is a very efficient way of dealing with uncertainty. In this article, we have introduced the notions of (alpha,beta) - Pythagorean fuzzy subring and (alpha,beta) - Pythagorean fuzzy ideal of a ring. Further, we have briefly described various results related to it. Also, we have discussed the level subring of an (alpha,beta) - Pythagorean fuzzy subring. Moreover, we have studied the direct product and ring homomorphism of (alpha,beta) - Pythagorean fuzzy subrings.

AB - (alpha,beta) -Pythagorean fuzzy set is a very efficient way of dealing with uncertainty. In this article, we have introduced the notions of (alpha,beta) - Pythagorean fuzzy subring and (alpha,beta) - Pythagorean fuzzy ideal of a ring. Further, we have briefly described various results related to it. Also, we have discussed the level subring of an (alpha,beta) - Pythagorean fuzzy subring. Moreover, we have studied the direct product and ring homomorphism of (alpha,beta) - Pythagorean fuzzy subrings.

KW - (α, β)-PFID

KW - (α, β)-PFLSR

KW - (α, β)-PFS

KW - (α, β)-PFSR

UR - https://www.scopus.com/pages/publications/85123720464

U2 - 10.1109/ACCESS.2022.3145376

DO - 10.1109/ACCESS.2022.3145376

M3 - Article

AN - SCOPUS:85123720464

SN - 2169-3536

VL - 10

SP - 11048

EP - 11056

JO - IEEE Access

JF - IEEE Access

ER -

On the Algebraic Attributes of (α, β)-Pythagorean Fuzzy Subrings and (α, β)-Pythagorean Fuzzy Ideals of Rings

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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