Document Type: Research Paper


1 Department of Mathematics, Islamic Azad University, Kerman Branch, Kerman, Iran

2 Department of Mathematics, Tarbiat Modares University, Tehran, Iran


We present some connections between the max-min general fuzzy
automaton theory and the hyper structure theory. First, we introduce a hyper
BCK-algebra induced by a max-min general fuzzy automaton. Then, we study
the properties of this hyper BCK-algebra. Particularly, some theorems and
results for hyper BCK-algebra are proved. For example, it is shown that
this structure consists of different types of (positive implicative) commutative
hyper K-ideals. As a generalization, we extend the definition of this hyper
BCK-algebra to a bounded hyper K-algebra and obtain relative results.


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