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

M. Mohseni Takallo (), Rajab Ali Borzooei (), Young Bae Jun and Sun Shin Ahn
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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

New Mathematics and Natural Computation (NMNC), 2021, vol. 17, issue 03, 553-570

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.

Keywords: k-polar fuzzy subalgebra; k-polar fuzzy ideal; k-polar (∈; ∈)-fuzzy p-ideal; k-polar (∈; ∈)-fuzzy q-ideal; (normal) k-polar (∈; ∈)-fuzzy a-ideal (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S1793005721500277

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