Neutrosophic Quadruple BCK/BCI-AlgebrasJun, Young Bae (Avtor)
Song, Seok-zun (Avtor)
Smarandache, Florentin (Avtor)
Bordbar, Hashem (Avtor)
neutrosophic quadruple BCK/BCI-numberneutrosophic quadruple BCK/BCI-algebraneutrosophic quadruple subalgebra(positive implicative) neutrosophic quadruple idealThe 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.20182019-11-30 11:30:14Delo ni kategorizirano4888COBISS_ID: 5489403URN: URN:SI:UNG:REP:OK9MJRPRDOI: https://doi.org/10.3390/axioms7020041sl