SOME HYPER K-ALGEBRAIC STRUCTURES INDUCED BY MAX-MIN GENERAL FUZZY AUTOMATA

Abstract

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