  In this paper we provide an analytical study of the theory of multi-valued
and fuzzy cellular automata where the fuzziness appears as the result of the
application of an underlying multi-valued or continuous logic as opposed to
standard logic as used conventionally. Using the disjunctive normal form of any
one of the 255 ECA's so defined, we modify the underlying logic structure and
redefine the ECA within the framework of this new logic. The idea here is to
show that the evolution of space-time diagrams of ECA's under even a
probabilistic logic can exhibit non-chaotic behavior. This is looked at
specifically for Probabilistic Rule 110, in contrast with Boolean Rule 110
which is known to be capable of universal computation.
