Abstract
In this note, first we define the BL-algebra on a non-empty set Q. Then we define the Bl-general fuzzy automata (Bl-GFA), by using the notions of BL-algebra and general fuzzy automata. Then we present some connections between the BL-general fuzzy automaton theory and the hyper structure theory. Finally we introduce a hyper BCK-algebra which is induced by a BL-general fuzzy automaton and we study the properties of this hyper BCK-algebra.
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