It is known that the study and development of many aspects of computer science have benefited from using certain ideas, concepts and tools from algebra, topology and category theory. Within computing science, finite state machines, automata, Chu Spaces and Petri nets are among some well-known models of computation and concurrent computation and it has turned out useful to use of some tools from algebra, topology and category theory in the study and development of the above models of computation. This book demonstrates that the use of certain concepts from topology and category theory can similarly be advantageous in the study and development of the fuzzy versions of above models of computation. This book should be of interest to research mathematician and computer scientists.