The efficiency of minimum operator for fuzzy automata: A case study

This paper is a continuation of our previous work [1], [2], in which we studied the properties of fuzzy automata with the help of VHDL simulations. In our previous studies we saw that in many cases, the standard combination of min-max norms, which are the most common operators used in fuzzy logic, often do not yield stable fuzzy automata. In this paper we will investigate some methods of using the min-max norms as well as some situations where they can improve the behavior of a fuzzy automaton. Here we will investigate the impact that the t-norm has on the states and output values of a fuzzy automaton; as such we will be focusing on the “minimum” operator.