International Journal of Neutrosophic Science
IJNS
2690-6805
2692-6148
10.54216/IJNS
https://www.americaspg.com/journals/show/523
2020
2020
NEUTRO-BCK-ALGEBRA
Department of Mathematics, University of Payame Noor, Tehran, Iran
Mohammad
Hamidi
Mathematics & Science, University of New Mexico, Gallup Campus, USA
Florentin
Smarandache
This paper introduces the novel concept of Neutro-BCK-algebra. In Neutro-BCK-algebra, the outcome of any given two elements under an underlying operation (neutro-sophication procedure) has three cases, such as: appurtenance, non-appurtenance, or indeterminate. While for an axiom: equal, non-equal, or indeterminate. This study investigates the Neutro-BCK algebra and shows that Neutro-BCK-algebra are different from BCKalgebra. The notation of Neutro-BCK-algebra generates a new concept of NeutroPoset and Neutro-Hassdiagram for NeutroPosets. Finally, we consider an instance of applications of the Neutro-BCK-algebra.
2020
2020
110
117
10.54216/IJNS.080204
https://www.americaspg.com/articleinfo/21/show/523