NEUTRO-BCK-ALGEBRA

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2020Publisher:ASPG Publishing LLCJournal:International Journal of Neutrosophic Science

Authors: Hamidi, Mohammad; Smarandache, Florentin;

doi: 10.54216/ijns.080204 , 10.5281/zenodo.3991437 , 10.5281/zenodo.3991436

NEUTRO-BCK-ALGEBRA

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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

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