Positive Implicative Neutrosophic Quadruple BCK-Algebras and Ideals

Rajab Ali Borzooei; Young Bae Jun; M. Mohseni Takallo; Sun Shin Ahn

doi:10.1142/S1793005721500216

Positive Implicative Neutrosophic Quadruple BCK-Algebras and Ideals

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

Department of Mathematics Education

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	English
Pages (from-to)	403-423
Number of pages	21
Journal	New Mathematics and Natural Computation
Volume	17
Issue number	2
DOIs	https://doi.org/10.1142/S1793005721500216
State	Published - Jul 2021

Keywords

(positive implicative) neutrosophic quadruple BCK-algebra
(positive implicative) neutrosophic quadruple ideal
Neutrosophic quadruple BCK/BCI-number

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10.1142/S1793005721500216

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title = "Positive Implicative Neutrosophic Quadruple BCK-Algebras and Ideals",

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.",

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author = "Borzooei, \{Rajab Ali\} and Jun, \{Young Bae\} and Takallo, \{M. Mohseni\} and Ahn, \{Sun Shin\}",

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AU - Borzooei, Rajab Ali

AU - Jun, Young Bae

AU - Takallo, M. Mohseni

AU - Ahn, Sun Shin

PY - 2021/7

Y1 - 2021/7

N2 - 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.

AB - 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.

KW - (positive implicative) neutrosophic quadruple BCK-algebra

KW - (positive implicative) neutrosophic quadruple ideal

KW - Neutrosophic quadruple BCK/BCI-number

UR - https://www.scopus.com/pages/publications/85103584263

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DO - 10.1142/S1793005721500216

M3 - Article

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EP - 423

JO - New Mathematics and Natural Computation

JF - New Mathematics and Natural Computation

IS - 2

ER -

Positive Implicative Neutrosophic Quadruple BCK-Algebras and Ideals

Abstract

Keywords

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