Volume 8 , Issue 2 , PP: 110-117, 2020 | Cite this article as | XML | Html | PDF | Full Length Article
Mohammad Hamidi 1 * , Florentin Smarandache 2
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.
Neutro-BCK-algebra, NeutroPoset, Neutro-Hass diagram.
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