An a-ideal of BCI-Algebras in connection with multipolar fuzzy sets

M. Mohseni Takallo; Rajab Ali Borzooei; Young Bae Jun; Sun Shin Ahn

doi:10.1142/S1793005721500277

An a-ideal of BCI-Algebras in connection with multipolar fuzzy sets

M. Mohseni Takallo
, Rajab Ali Borzooei
, Young Bae Jun
, Sun Shin Ahn

Department of Mathematics Education

Shahid Beheshti University
Gyeongsang National University

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

Abstract

The notion of a k-polar (∈, ∈)-fuzzy a-ideal is introduced, and its properties are investigated. The relationship between k-polar fuzzy subalgebra, k-polar fuzzy ideal, and k-polar (∈ ,∈)-fuzzy a-ideal is examined. Conditions for a k-polar fuzzy ideal to be a k-polar (∈ ,∈)-fuzzy a-ideal are provided. The relationship between k-polar (∈ ,∈)-fuzzy p-ideal, k-polar (∈ ,∈)-fuzzy q-ideal, and k-polar (∈ ,∈)-fuzzy a-ideal is shown. The normal k-polar (∈ ,∈)-fuzzy a-ideal is introduced, and its characterizations are considered. Characterizations and extension property of a k-polar (∈ ,∈)-fuzzy a-ideal are discussed.

Original language	English
Pages (from-to)	553-570
Number of pages	18
Journal	New Mathematics and Natural Computation
Volume	17
Issue number	3
DOIs	https://doi.org/10.1142/S1793005721500277
State	Published - 1 Nov 2021

Keywords

(normal) k-polar (∈, ∈)-fuzzy a-ideal
K-polar (∈, ∈)-fuzzy p-ideal
k-polar (∈, ∈)-fuzzy q-ideal
K-polar fuzzy ideal
K-polar fuzzy subalgebra

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10.1142/S1793005721500277

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title = "An a-ideal of BCI-Algebras in connection with multipolar fuzzy sets",

abstract = "The notion of a k-polar (∈, ∈)-fuzzy a-ideal is introduced, and its properties are investigated. The relationship between k-polar fuzzy subalgebra, k-polar fuzzy ideal, and k-polar (∈ ,∈)-fuzzy a-ideal is examined. Conditions for a k-polar fuzzy ideal to be a k-polar (∈ ,∈)-fuzzy a-ideal are provided. The relationship between k-polar (∈ ,∈)-fuzzy p-ideal, k-polar (∈ ,∈)-fuzzy q-ideal, and k-polar (∈ ,∈)-fuzzy a-ideal is shown. The normal k-polar (∈ ,∈)-fuzzy a-ideal is introduced, and its characterizations are considered. Characterizations and extension property of a k-polar (∈ ,∈)-fuzzy a-ideal are discussed.",

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T1 - An a-ideal of BCI-Algebras in connection with multipolar fuzzy sets

AU - Takallo, M. Mohseni

AU - Borzooei, Rajab Ali

AU - Jun, Young Bae

AU - Ahn, Sun Shin

PY - 2021/11/1

Y1 - 2021/11/1

N2 - The notion of a k-polar (∈, ∈)-fuzzy a-ideal is introduced, and its properties are investigated. The relationship between k-polar fuzzy subalgebra, k-polar fuzzy ideal, and k-polar (∈ ,∈)-fuzzy a-ideal is examined. Conditions for a k-polar fuzzy ideal to be a k-polar (∈ ,∈)-fuzzy a-ideal are provided. The relationship between k-polar (∈ ,∈)-fuzzy p-ideal, k-polar (∈ ,∈)-fuzzy q-ideal, and k-polar (∈ ,∈)-fuzzy a-ideal is shown. The normal k-polar (∈ ,∈)-fuzzy a-ideal is introduced, and its characterizations are considered. Characterizations and extension property of a k-polar (∈ ,∈)-fuzzy a-ideal are discussed.

AB - The notion of a k-polar (∈, ∈)-fuzzy a-ideal is introduced, and its properties are investigated. The relationship between k-polar fuzzy subalgebra, k-polar fuzzy ideal, and k-polar (∈ ,∈)-fuzzy a-ideal is examined. Conditions for a k-polar fuzzy ideal to be a k-polar (∈ ,∈)-fuzzy a-ideal are provided. The relationship between k-polar (∈ ,∈)-fuzzy p-ideal, k-polar (∈ ,∈)-fuzzy q-ideal, and k-polar (∈ ,∈)-fuzzy a-ideal is shown. The normal k-polar (∈ ,∈)-fuzzy a-ideal is introduced, and its characterizations are considered. Characterizations and extension property of a k-polar (∈ ,∈)-fuzzy a-ideal are discussed.

KW - (normal) k-polar (∈, ∈)-fuzzy a-ideal

KW - K-polar (∈, ∈)-fuzzy p-ideal

KW - k-polar (∈, ∈)-fuzzy q-ideal

KW - K-polar fuzzy ideal

KW - K-polar fuzzy subalgebra

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DO - 10.1142/S1793005721500277

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EP - 570

JO - New Mathematics and Natural Computation

JF - New Mathematics and Natural Computation

IS - 3

ER -

An a-ideal of BCI-Algebras in connection with multipolar fuzzy sets

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