This work focuses on the Game of Life (GoL), one of the most popular Cellular Automaton (CA), implemented with FCA technology. GoL, which John Conway first presented, is among the most intriguing CAs because of its computational universality and self-production capabilities. The rule for fuzzy cellular automata with Moore and von Neumann neighborhood is used to fuzzy cellular automata in this study. It is possible to derive the transition fuzzy matrix for the von Neumann and Moore neighborhoods under the null boundary condition. We cover recent advances in the field of quantum automata and grammars in this paper.