On Asymptotic Solutions and Fundamental Diagrams of Some Fuzzy Cellular Automata with 4 Neighbors

Abstract

Abstract. We fuzzificate two particle cellular automata of first order ontime and with 4 neighbors. The fuzzification is realized by giving continuous polynomial rules from the rule tables of flow of cellular automata. We derive asymptotic solutions at infinite time step for the fuzzy cellular automata. Moreover, fundamental diagrams for the systems are also obtained using their solutions.