
doi: 10.3390/math7111094
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.
(normal) <i>m</i>-polar (∈,∈)-fuzzy ideal; (normal) <i>m</i>-polar (∈,∈)-fuzzy <i>p</i>-ideal
(normal) <i>m</i>-polar (∈,∈)-fuzzy ideal; (normal) <i>m</i>-polar (∈,∈)-fuzzy <i>p</i>-ideal
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