Branch 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
Recommended Citation
Smarandache, Florentin and Mohammad Hamidi.
"NEUTRO-BCK-ALGEBRA."
International Journal of Neutrosophic Science
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Included in
Algebra Commons, Algebraic Geometry Commons, Logic and Foundations Commons, Other Mathematics Commons
