BL-general fuzzy automata and hyper structures

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.

[1]  P. Corsini,et al.  Applications of Hyperstructure Theory , 2010 .

[2]  Petr Hájek,et al.  Metamathematics of Fuzzy Logic , 1998, Trends in Logic.

[3]  Stefan C. Kremer,et al.  New directions in fuzzy automata , 2005, Int. J. Approx. Reason..