Multipolar fuzzy p-Ideals of BCI-Algebras

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

doi:10.3390/math7111094

Multipolar fuzzy p-Ideals of BCI-Algebras

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

Department of Mathematics Education

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

17 Scopus citations

Abstract

The notion of (normal) m-polar (∈, ∈)-fuzzy p-ideals of BCI-algebras is introduced, and several properties are investigated. Relations between an m-polar (∈, ∈)-fuzzy ideal and an m-polar (∈, ∈)-fuzzy p-ideal are displayed, and conditions for an m-polar (∈, ∈)-fuzzy ideal to be an m-polar (∈, ∈)-fuzzy p-ideal are provided. Characterization of m-polar (∈, ∈)-fuzzy p-ideals are considered. Given an m-polar (∈, ∈)-fuzzy ideal (resp., m-polar (∈, ∈)-fuzzy p-ideal), a normal m-polar (∈, ∈)-fuzzy ideal (resp., normal m-polar (∈, ∈)-fuzzy p-ideal) is established. Using an m-polar (∈, ∈)-fuzzy ideal, the quotient structure of BCI-algebras is constructed.

Original language	English
Article number	1094
Journal	Mathematics
Volume	7
Issue number	11
DOIs	https://doi.org/10.3390/math7111094
State	Published - 1 Nov 2019

Keywords

(normal) m-polar (∈
(normal) m-polar (∈
∈)-fuzzy ideal
∈)-fuzzy p-ideal

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10.3390/math7111094

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title = "Multipolar fuzzy p-Ideals of BCI-Algebras",

abstract = "The notion of (normal) m-polar (∈, ∈)-fuzzy p-ideals of BCI-algebras is introduced, and several properties are investigated. Relations between an m-polar (∈, ∈)-fuzzy ideal and an m-polar (∈, ∈)-fuzzy p-ideal are displayed, and conditions for an m-polar (∈, ∈)-fuzzy ideal to be an m-polar (∈, ∈)-fuzzy p-ideal are provided. Characterization of m-polar (∈, ∈)-fuzzy p-ideals are considered. Given an m-polar (∈, ∈)-fuzzy ideal (resp., m-polar (∈, ∈)-fuzzy p-ideal), a normal m-polar (∈, ∈)-fuzzy ideal (resp., normal m-polar (∈, ∈)-fuzzy p-ideal) is established. Using an m-polar (∈, ∈)-fuzzy ideal, the quotient structure of BCI-algebras is constructed.",

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AU - Takallo, Mohammad Mohseni

AU - Ahn, Sun Shin

AU - Borzooei, Rajab Ali

AU - Jun, Young Bae

PY - 2019/11/1

Y1 - 2019/11/1

N2 - The notion of (normal) m-polar (∈, ∈)-fuzzy p-ideals of BCI-algebras is introduced, and several properties are investigated. Relations between an m-polar (∈, ∈)-fuzzy ideal and an m-polar (∈, ∈)-fuzzy p-ideal are displayed, and conditions for an m-polar (∈, ∈)-fuzzy ideal to be an m-polar (∈, ∈)-fuzzy p-ideal are provided. Characterization of m-polar (∈, ∈)-fuzzy p-ideals are considered. Given an m-polar (∈, ∈)-fuzzy ideal (resp., m-polar (∈, ∈)-fuzzy p-ideal), a normal m-polar (∈, ∈)-fuzzy ideal (resp., normal m-polar (∈, ∈)-fuzzy p-ideal) is established. Using an m-polar (∈, ∈)-fuzzy ideal, the quotient structure of BCI-algebras is constructed.

AB - The notion of (normal) m-polar (∈, ∈)-fuzzy p-ideals of BCI-algebras is introduced, and several properties are investigated. Relations between an m-polar (∈, ∈)-fuzzy ideal and an m-polar (∈, ∈)-fuzzy p-ideal are displayed, and conditions for an m-polar (∈, ∈)-fuzzy ideal to be an m-polar (∈, ∈)-fuzzy p-ideal are provided. Characterization of m-polar (∈, ∈)-fuzzy p-ideals are considered. Given an m-polar (∈, ∈)-fuzzy ideal (resp., m-polar (∈, ∈)-fuzzy p-ideal), a normal m-polar (∈, ∈)-fuzzy ideal (resp., normal m-polar (∈, ∈)-fuzzy p-ideal) is established. Using an m-polar (∈, ∈)-fuzzy ideal, the quotient structure of BCI-algebras is constructed.

KW - (normal) m-polar (∈

KW - ∈)-fuzzy ideal

KW - ∈)-fuzzy p-ideal

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DO - 10.3390/math7111094

M3 - Article

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SN - 2227-7390

VL - 7

JO - Mathematics

JF - Mathematics

IS - 11

M1 - 1094

ER -

Multipolar fuzzy p-Ideals of BCI-Algebras

Abstract

Keywords

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