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

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

7 Citations (Scopus)

Abstract

(α, β)-Pythagorean fuzzy set is a very efficient way of dealing with uncertainty. In this article,
we have introduced the notions of (α, β)-Pythagorean fuzzy subring and (α, β)-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 (α, β)-Pythagorean fuzzy subring. Moreover, we have studied the direct product and ring
homomorphism of (α, β)-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
Publication status	Published - 2022

Keywords

Left Ideal
Pythagorean Fuzzy
Fuzzy Set
Direct Product
Ring Homomorphism
Universal Set
Membership Grades
Intuitionistic Fuzzy Sets

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10.1109/ACCESS.2022.3145376Licence: CC BY

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

abstract = "(α, β)-Pythagorean fuzzy set is a very efficient way of dealing with uncertainty. In this article, we have introduced the notions of (α, β)-Pythagorean fuzzy subring and (α, β)-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 (α, β)-Pythagorean fuzzy subring. Moreover, we have studied the direct product and ring homomorphism of (α, β)-Pythagorean fuzzy subrings.",

keywords = "Left Ideal, Pythagorean Fuzzy, Fuzzy Set, Direct Product, Ring Homomorphism, Universal Set, Membership Grades, Intuitionistic Fuzzy Sets",

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

year = "2022",

doi = "10.1109/ACCESS.2022.3145376",

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 - (α, β)-Pythagorean fuzzy set is a very efficient way of dealing with uncertainty. In this article, we have introduced the notions of (α, β)-Pythagorean fuzzy subring and (α, β)-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 (α, β)-Pythagorean fuzzy subring. Moreover, we have studied the direct product and ring homomorphism of (α, β)-Pythagorean fuzzy subrings.

AB - (α, β)-Pythagorean fuzzy set is a very efficient way of dealing with uncertainty. In this article, we have introduced the notions of (α, β)-Pythagorean fuzzy subring and (α, β)-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 (α, β)-Pythagorean fuzzy subring. Moreover, we have studied the direct product and ring homomorphism of (α, β)-Pythagorean fuzzy subrings.

KW - Left Ideal

KW - Pythagorean Fuzzy

KW - Fuzzy Set

KW - Direct Product

KW - Ring Homomorphism

KW - Universal Set

KW - Membership Grades

KW - Intuitionistic Fuzzy Sets

UR - https://doi.org/10.1109/ACCESS.2022.3145376

U2 - 10.1109/ACCESS.2022.3145376

DO - 10.1109/ACCESS.2022.3145376

M3 - Article

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

Keywords

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