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Multipolar Fuzzy p -Ideals of BCI-Algebras

Author

Listed:
  • 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
    Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea)

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.

Suggested Citation

  • Mohammad Mohseni Takallo & Sun Shin Ahn & Rajab Ali Borzooei & Young Bae Jun, 2019. "Multipolar Fuzzy p -Ideals of BCI-Algebras," Mathematics, MDPI, vol. 7(11), pages 1-14, November.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:11:p:1094-:d:286071
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    References listed on IDEAS

    as
    1. Muhammad Akram & Musavarah Sarwar, 2018. "New Applications of m-Polar Fuzzy Competition Graphs," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 14(02), pages 249-276, July.
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