Positive Implicative Neutrosophic Quadruple BCK-Algebras and Ideals

Rajab Ali Borzooei (), Young Bae Jun, M. Mohseni Takallo () and Sun Shin Ahn
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Rajab Ali Borzooei: Department of Mathematics, Shahid Beheshti University, Tehran, Iran
Young Bae Jun: Department of Mathematics, Shahid Beheshti University, Tehran, Iran†Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea
M. Mohseni Takallo: Department of Mathematics, Shahid Beheshti University, Tehran, Iran
Sun Shin Ahn: Department of Mathematics Education, Dongguk University, Seoul 04620, Korea

New Mathematics and Natural Computation (NMNC), 2021, vol. 17, issue 02, 403-423

Abstract: Given a set X, conditions for the neutrosophic quadruple X-set to be a (positive implicative) neutrosophic quadruple BCK-algebra are considered. The notion of (positive implicative) neutrosophic quadruple ideal is introduced, and the extended neutrosophic quadruple BCK/BCI-algebra is established. Several properties are investigated.

Keywords: Neutrosophic quadruple BCK/BCI-number; (positive implicative) neutrosophic quadruple BCK-algebra; (positive implicative) neutrosophic quadruple ideal (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S1793005721500216

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