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An a-Ideal of BCI-Algebras in Connection with Multipolar Fuzzy Sets

Author

Listed:
  • M. Mohseni Takallo

    (Department of Mathematics, Shahid Beheshti University, Tehran 1983963113, Iran)

  • 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)

  • Sun Shin Ahn

    (��Department of Mathematics Education, Dongguk University, Seoul 04620, Korea)

Abstract

The notion of a k-polar (∈, ∈)-fuzzy a-ideal is introduced, and its properties are investigated. The relationship between k-polar fuzzy subalgebra, k-polar fuzzy ideal, and k-polar (∈, ∈)-fuzzy a-ideal is examined. Conditions for a k-polar fuzzy ideal to be a k-polar (∈, ∈)-fuzzy a-ideal are provided. The relationship between k-polar (∈, ∈)-fuzzy p-ideal, k-polar (∈, ∈)-fuzzy q-ideal, and k-polar (∈, ∈)-fuzzy a-ideal is shown. The normal k-polar (∈, ∈)-fuzzy a-ideal is introduced, and its characterizations are considered. Characterizations and extension property of a k-polar (∈, ∈)-fuzzy a-ideal are discussed.

Suggested Citation

  • M. Mohseni Takallo & Rajab Ali Borzooei & Young Bae Jun & Sun Shin Ahn, 2021. "An a-Ideal of BCI-Algebras in Connection with Multipolar Fuzzy Sets," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 17(03), pages 553-570, November.
    • Handle: RePEc:wsi:nmncxx:v:17:y:2021:i:03:n:s1793005721500277
    DOI: 10.1142/S1793005721500277
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