some hyper k-algebraic structures induced by max-min general fuzzy automata

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.