Multipolar Fuzzy p -Ideals of BCI-Algebras

Mohammad Mohseni Takallo, Sun Shin Ahn, Rajab Ali Borzooei and Young Bae Jun
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Mohammad Mohseni Takallo: Department of Mathematics, Shahid Beheshti University, Tehran 1983963113, Iran
Sun Shin Ahn: Department of Mathematics Education, Dongguk University, Seoul 04620, Korea
Rajab Ali Borzooei: Department of Mathematics, Shahid Beheshti University, Tehran 1983963113, Iran
Young Bae Jun: Department of Mathematics, Shahid Beheshti University, Tehran 1983963113, Iran

Mathematics, 2019, vol. 7, issue 11, 1-14

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.

Keywords: (normal) m -polar (?,?)-fuzzy ideal; (normal) m -polar (?,?)-fuzzy p -ideal (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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