Multipolar Fuzzy p-Ideals of BCI-Algebras

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-...

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Bibliographic Details
Published in:Mathematics (Basel) 2019-11, Vol.7 (11), p.1094
Main Authors: Takallo, Mohammad Mohseni, Ahn, Sun Shin, Borzooei, Rajab Ali, Jun, Young Bae
Format: Article
Language:English
Subjects:
Algebra
Food science
Fuzzy sets
Quotients
Set theory
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Summary: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math7111094