Fuzzy graphs in fuzzy automata model

An automaton is a mathematical model of computing. It is an abstract model of digital computer. Classical automata are formal models of computing with values. Fuzzy automata are generalizations of classical automata where the knowledge about the systems next state is vague or uncertain. It is worth noting that like classical automata, fuzzy automata can only process strings of input symbols. Therefore, such fuzzy automata are still (abstract) devices for computing with values, although a certain vagueness or uncertainty is involved in the process of computation value. In this paper, we observe that, the fuzzy automata architecture is isomorphic to the fuzzy graph model and using fuzzy graph we will describe the three basic models of fuzzy automata.