364 204
Full Length Article
Volume 8 , Issue 2, PP: 110-117 , 2020



Authors Names :   Mohammad Hamidi   1 *     Florentin Smarandache   2  

1  Affiliation :  Department of Mathematics, University of Payame Noor, Tehran, Iran

    Email :  m.hamidi@pnu.ac.ir

2  Affiliation :  Mathematics & Science, University of New Mexico, Gallup Campus, USA

    Email :  smarand@unm.ed

Doi   :  10.5281/zenodo.3902754

Abstract :

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.

Keywords :

Neutro-BCK-algebra , NeutroPoset , Neutro-Hass diagram.

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