Classification of Proper Hyper BCI-Algebras of Order 3

Authors

Xiaoyan Mao, College of Science and Technology, Ningbo University, Ningbo 315212, Zhejiang Province, P. R. ChinaFollow
Huijie Zhou, College of Science and Technology, Ningbo University, Ningbo 315212, Zhejiang Province, P. R. ChinaFollow

Author Country (or Countries)

P. R. China

Abstract

We consider the notion of an isomorphism between two hyper BCI-algebras and obtain all of the hyper BCI-algebras of order 3. It is shown that there exist 14 proper hyper BCI-algebras and 5 proper weak hyper BCI-algebras of order 3 up to isomorphism. Finally, further study on the theory of hyper BCI-algebra and its related hyper structure and applications of our results in information sciences are discussed.

Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/amis/090145

Recommended Citation

Mao, Xiaoyan and Zhou, Huijie (2015) "Classification of Proper Hyper BCI-Algebras of Order 3," Applied Mathematics & Information Sciences: Vol. 09: Iss. 1, Article 52.
DOI: http://dx.doi.org/10.12785/amis/090145
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss1/52