Mathematics and Statistics Faculty and Staff Publications

Document Type

Article

Publication Date

2020

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 BCK-algebra. The notation of Neutro-BCK-algebra generates a new concept of NeutroPoset and Neutro-Hass-diagram for NeutroPosets. Finally, we consider an instance of applications of the Neutro-BCK-algebra.

Publisher

American Scientific Publishing Group

Publication Title

International Journal of Neutrosophic Science

Volume

8

Issue

2

First Page

110

Last Page

117

Language (ISO)

English

Keywords

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

Creative Commons License

Creative Commons Attribution 4.0 License
This work is licensed under a Creative Commons Attribution 4.0 License.

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