Fuzzy Rule-Based Modeling with Applications to Geophysical, Biological and Engineering Systems (Systems Engineering) Review

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(More customer reviews)Many good books have recently been published on fuzzyrule-based systems for control, but few authors have dealtwith open systems. The book by Bardossy and Duckstein, which does an excellent job of introducing fuzzy rule-based modeling of open systems, may stimulate more research in this area. Indeed, the realistic examples presented in the book are very convincing. More emphasis could however have been put on the complex processes of selecting input variables and defining fuzzy rules. The discussion, in the introduction, of the differences between fuzzy numbers and probability distributions is certainly too short to convince a statistician of the usefulness of fuzzy sets for uncertainty modeling. However, if the book does not contribute to this philosophical debate, it certainly does a good job of showing the practical value of fuzzy models for nonparametric modeling of open systems.

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This book presents in a systematic and comprehensive manner the modeling of uncertainty, vagueness, or imprecision, alias "fuzziness," in just about any field of science and engineering. It delivers a usable methodology for modeling in the absence of real-time feedback.The book includes a short introduction to fuzzy logic containing basic definitions of fuzzy set theory and fuzzy rule systems. It describes methods for the assessment of rule systems, systems with discrete response sets, for modeling time series, for exact physical systems, examines verification and redundancy issues, and investigates rule response functions.Definitions and propositions, some of which have not been published elsewhere, are provided; numerous examples as well as references to more elaborate case studies are also given.Fuzzy rule-based modeling has the potential to revolutionize fields such as hydrology because it can handle uncertainty in modeling problems too complex to be approached by a stochastic analysis. There is also excellent potential for handling large-scale systems such as regionalization or highly non-linear problems such as unsaturated groundwater pollution.

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