20.500.12556/RUNG-4888-e5e4e0ec-f6fd-339d-6587-c64b9fce1253
Neutrosophic Quadruple BCK/BCI-Algebras
The notion of a neutrosophic quadruple BCK/BCI number is considered, and a neutrosophic quadruple BCK/BCI-algebra, which consists of neutrosophic quadruple BCK/BCI-numbers, is constructed. Several properties are investigated, and a (positive implicative) ideal in a neutrosophic quadruple BCK-algebra and a closed ideal in a neutrosophic quadruple BCI-algebra are studied. Given subsets A and B of a BCK/BCI-algebra, the set NQ(A,B)
, which consists of neutrosophic quadruple BCK/BCI-numbers with a condition, is established. Conditions for the set NQ(A,B)
to be a (positive implicative) ideal of a neutrosophic quadruple BCK-algebra are provided, and conditions for the set NQ(A,B) to be a (closed) ideal of a neutrosophic quadruple BCI-algebra are given. An example to show that the set {0˜} is not a positive implicative ideal in a neutrosophic quadruple BCK-algebra is provided, and conditions for the set {0˜} to be a positive implicative ideal in a neutrosophic quadruple BCK-algebra are then discussed.
neutrosophic quadruple BCK/BCI-number
neutrosophic quadruple BCK/BCI-algebra
neutrosophic quadruple subalgebra
(positive implicative) neutrosophic quadruple ideal
true
true
false
Angleški jezik
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2019-11-30 11:30:14
2019-12-01 21:35:22
2023-06-09 03:35:22
0000-00-00 00:00:00
2018
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16
7
2018
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Zaloznikova
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NiDoloceno
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5489403
https://doi.org/10.3390/axioms7020041
URN:SI:UNG:REP:OK9MJRPR
Univerza v Novi Gorici
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