delta-relation on dual hyper K-algebras

作者：Hamidi Mohammad; Rezaei Akbar; Saeid Arsham Borumand^*

来源：Journal of Intelligent and Fuzzy Systems, 2015, 29(5): 1889-1900.

DOI：10.3233/IFS-151667

• (hyper) BE-algebra
• hyper K-algebra
• fundamental relation

In this paper, we are going to introduce a fundamental relation "delta" on (hyper BE-algebra) dual hyper K-algebra and investigate some properties. We show that quotient of any dual hyper K-algebra via a regular relation is a hyper BE-algebra and this quotient, via any strongly regular relation is a BE-algebra. Furthermore, it shows that "delta" under some condition is transitive and quotient of any weak commutative dual hyper K-algebra via "delta*" is a dual BCK-algebra.

• 出版日期2015