Ebook: Crisp and Soft Computing with Hypercubical Calculus: New Approaches to Modeling in Cognitive Science and Technology with Parity Logic, Fuzzy Logic, and Evolutionary Computing

Three transdisciplinary mainstreams of crisp and soft computing are presented in this book. (1) An entirely new approach to scientific modeling from scratch as based on parity logic with new operators for binary computing and the new framework of Langlet transforms. (2) A compact overview of the foundations of fuzzy logic, and a comprehensive treatment of fuzzy nonlinear dynamical predictor systems in terms of fuzzy cognitive maps. Readers interested in new ways of causal modeling and nonlinear forecasting are introduced to fuzzy knowledge engineering as a paradigm shift in intelligent computing. (3) New perspectives for evolutionary computing with an integro-differential operator from parity logic, and a systematic elaboration of autogenetic algorithms for search in high dimensional feature spaces. Readers interested in fast computing, practical applications of causal reasoning with fuzzy logic, and interactive experimental control environments as based on evolutionary computing, will gain significant insights into a variety of computational power tools.

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Three transdisciplinary mainstreams of crisp and soft computing are presented in this book. (1) An entirely new approach to scientific modeling from scratch as based on parity logic with new operators for binary computing and the new framework of Langlet transforms. (2) A compact overview of the foundations of fuzzy logic, and a comprehensive treatment of fuzzy nonlinear dynamical predictor systems in terms of fuzzy cognitive maps. Readers interested in new ways of causal modeling and nonlinear forecasting are introduced to fuzzy knowledge engineering as a paradigm shift in intelligent computing. (3) New perspectives for evolutionary computing with an integro-differential operator from parity logic, and a systematic elaboration of autogenetic algorithms for search in high dimensional feature spaces. Readers interested in fast computing, practical applications of causal reasoning with fuzzy logic, and interactive experimental control environments as based on evolutionary computing, will gain significant insights into a variety of computational power tools.

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Three transdisciplinary mainstreams of crisp and soft computing are presented in this book. (1) An entirely new approach to scientific modeling from scratch as based on parity logic with new operators for binary computing and the new framework of Langlet transforms. (2) A compact overview of the foundations of fuzzy logic, and a comprehensive treatment of fuzzy nonlinear dynamical predictor systems in terms of fuzzy cognitive maps. Readers interested in new ways of causal modeling and nonlinear forecasting are introduced to fuzzy knowledge engineering as a paradigm shift in intelligent computing. (3) New perspectives for evolutionary computing with an integro-differential operator from parity logic, and a systematic elaboration of autogenetic algorithms for search in high dimensional feature spaces. Readers interested in fast computing, practical applications of causal reasoning with fuzzy logic, and interactive experimental control environments as based on evolutionary computing, will gain significant insights into a variety of computational power tools.
Content:
Front Matter....Pages ii-xviii
Introduction....Pages 1-9
Front Matter....Pages 11-11
Mathematical Foundations of Parity Logic....Pages 13-32
Binary Signal Analysis in Parity Logic....Pages 33-64
Modeling Perception and Action in Parity Logic....Pages 65-97
Parity Logic Engines and Excitable Media....Pages 99-127
Transdisciplinary Perspectives of Parity Logic....Pages 129-147
Front Matter....Pages 149-149
Mathematical Foundations of Fuzzy Logic....Pages 151-200
Causal Modeling with Fuzzy Cognitive Maps....Pages 201-276
Front Matter....Pages 277-277
Foundations of Evolutionary Computing....Pages 279-307
Fundamentals of Autogenetic Algorithms....Pages 309-399
Back Matter....Pages 401-425

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Content:
Front Matter....Pages ii-xviii
Introduction....Pages 1-9
Front Matter....Pages 11-11
Mathematical Foundations of Parity Logic....Pages 13-32
Binary Signal Analysis in Parity Logic....Pages 33-64
Modeling Perception and Action in Parity Logic....Pages 65-97
Parity Logic Engines and Excitable Media....Pages 99-127
Transdisciplinary Perspectives of Parity Logic....Pages 129-147
Front Matter....Pages 149-149
Mathematical Foundations of Fuzzy Logic....Pages 151-200
Causal Modeling with Fuzzy Cognitive Maps....Pages 201-276
Front Matter....Pages 277-277
Foundations of Evolutionary Computing....Pages 279-307
Fundamentals of Autogenetic Algorithms....Pages 309-399
Back Matter....Pages 401-425

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Content:
Front Matter....Pages ii-xviii
Introduction....Pages 1-9
Front Matter....Pages 11-11
Mathematical Foundations of Parity Logic....Pages 13-32
Binary Signal Analysis in Parity Logic....Pages 33-64
Modeling Perception and Action in Parity Logic....Pages 65-97
Parity Logic Engines and Excitable Media....Pages 99-127
Transdisciplinary Perspectives of Parity Logic....Pages 129-147
Front Matter....Pages 149-149
Mathematical Foundations of Fuzzy Logic....Pages 151-200
Causal Modeling with Fuzzy Cognitive Maps....Pages 201-276
Front Matter....Pages 277-277
Foundations of Evolutionary Computing....Pages 279-307
Fundamentals of Autogenetic Algorithms....Pages 309-399
Back Matter....Pages 401-425
....