Insight into Fuzzy Modeling

Provides a unique and methodologically consistent treatment of various areas of fuzzy modeling and includes results of formal mathematical logic and linguistics

This book presents a unique view on the subject of fuzzy modeling based on thirty years of theoretical research as well as development of various kinds of applications. It addresses consistent and appropriate treatment of the notions of fuzzy sets and fuzzy logic and their applications. The authors provide two complementary views on fuzzy modeling and fuzzy control, which are based on fuzzy IF-THEN rules. The first, more traditional rule is fuzzy approximation and the theory of fuzzy relations. The second approach is based on a combination of formal fuzzy logic and linguistics. Further important methodology covered in this book is the so-called F-transform. Applications based on these theoretical principles are described in separate chapters and include fuzzy control, fuzzy cluster analysis, image processing, and time series analysis and forecasting, making this book of interest to students and researchers in fuzzy logic as well as practitioners in industry. Provides a foundation on fuzzy modeling and proposes a thorough description of fuzzy modeling methodology Emphasizes fuzzy modeling in linguistics and formal logic Includes chapters on Natural language and approximate reasoning, Fuzzy control and fuzzy decision-making, and Image processing using F-transform Discusses fuzzy IF-THEN rules for approximation of functions, fuzzy cluster analysis, and forecasting of time series

"Foundations of Fuzzy Modeling: with and without Words" is a reference forresearchers in the field of soft computing and fuzzy logic and students.

Vilem Novak, Ph.D., is Full Professor and Director of the Institute for Research and Applications of Fuzzy Modeling, University of Ostrava, Czech Republic.

Irina Perflieva, Ph.D., is Professor, Senior Scientist, and Head of the Department of Theoretic Research at the Institute for Research and Applications of Fuzzy Modeling, University of Ostrava, Czech Republic.

AntonIn DvorAk, Ph.D., is Associate professor at the Institute for Research and Applications of Fuzzy Modeling, University of Ostrava, Czech Republic