Clifford A. Reiter, Fuzzy Automata and Life, Complexity, 7 3 (2002) 19-29.

Boolean cellular automata may be generalized to fuzzy automata in a consistent manner. Several fuzzy logics are used to create 1-dimensional automata and also 2-dimensional automata which generalize the game of life. These generalized automata are investigated and compared to their Boolean counterparts empirically and using rule entropy and repeated input response functions. Fuzzy automata offer new mechanisms for classification of classical automata and can be used for insight into their qualitative behavior.

See also: · Preprint of the paper fuzzlife_4d_pp.pdf · Some Images and animations related to the paper [Images, and Animations] · A motivating paper was: G. Cattaneo, P. Flocchini, G. Mauri, C. Quaranta Vogliotti, and N. Santoro: Cellular automata in fuzzy backgrounds, Physica D, 105 (1997), 105-120. · A paper looking a coloring renderings of the Game of Life: One Tub, Eight Blocks, Twelve Blinkers and Other Views of Life, [Images and Animations], [Abstract]