Crisp and Soft Computing with Hypercubical Calculus, 1999
New Approaches to Modeling in Cognitive Science and Technology with Parity Logic, Fuzzy Logic, and Evolutionary Computing
Studies in Fuzziness and Soft Computing Series, Vol. 27

In Part I, the impact of an integro-differential operator on parity logic engines (PLEs) as a tool for scientific modeling from scratch is presented. Part II outlines the fuzzy structural modeling approach for building new linear and nonlinear dynamical causal forecasting systems in terms of fuzzy cognitive maps (FCMs). Part III introduces the new type of autogenetic algorithms (AGAs) to the field of evolutionary computing. Altogether, these PLEs, FCMs, and AGAs may serve as conceptual and computational power tools.

1 Introduction.- 2 Mathematical Foundations of Parity Logic.- 3 Binary Signal Analysis in Parity Logic.- 4 Modeling Perception and Action in Parity Logic.- 5 Parity Logic Engines and Excitable Media.- 6 Transdisciplinary Perspectives of Parity Logic.- 7 Mathematical Foundations of Fuzzy Logic.- 8 Causal Modeling with Fuzzy Cognitive Maps.- 9 Foundations of Evolutionary Computing.- 10 Fundamentals of Autogenetic Algorithms.

The first book that presents the history of FCMs, methods of constructing or deriving FCMs, and illustrations of applications of FCMs, in a systematic overview