L-general fuzzy automata

In this paper, we consider the general fuzzy automata based on complete residuated lattice-valued (L-GFAs). We mainly discuss the relationship between the category of L-GFAs and the category of non-deterministic automata (NDAs). Specially, we show that instead of a general fuzzy automaton we can deal equivalently with a chain of non-deterministic automata. Also, we further investigate some specific relationship between the output L-valued subsets of generalized L-GFAs and the output L-valued subsets of NDAs.