Fuzzy Sets and Fuzzy Logic: The Foundations of Application ― from a Mathematical Point of View (Computational Intelligence) (German Edition) - Hardcover

9783528053116: Fuzzy Sets and Fuzzy Logic: The Foundations of Application ― from a Mathematical Point of View (Computational Intelligence) (German Edition)
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Methods from Fuzzy Logic since the end of the 80th were the sources for remarkable applications of computer modelling in fields which before looked essentially inaccessible. The main tool for that, the fuzzy controllers - a method of rule based rough modelling using fuzzy information - is presented in this book and investigated from a mathematical point of view. The basic notions from fuzzy set theory and many-valued logic are explained in detail, and a theory of fuzzy equations and systems of them is developed and applied to fuzzy controllers. The final chapter discussed methodological issues arising out of the process of developing and evaluating fuzzy models. Methoden der Fuzzy-Logik haben seit dem Ende der 80er Jahre zu bemerkenswerten Automatisierungslösungen in Bereichen geführt, die zuvor dem Computereinsatz weitgehend verschlossen schienen. Die dabei vor allem benutzten unscharfen Regler, eine Methode regelbasierter Grobmodellierungen mit Hilfe unscharfer Informationen, werden in diesem Buch dargestellt und mathematisch untersucht. Die dazu nötigen Grundlagen aus der Theorie der fuzzy sets und der mehrwertigen Logik werden ausgiebig erörtert, und es wird eine Theorie unscharfer Gleichungssysteme und ihrer Lösbarkeit entwickelt und auf unscharfe Regler angewendet. Ein Kapitel zu methodologischen Problemen der Bildung und Bewertung unscharfer Modelle beschließt das Werk, das als Standardwerk Theoretikern und Praktikern empfohlen ist.

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Der Verfasser ist Ordinarius für Nichtklassische und Mathematische Logik an der Universität Leipzig und war 1992 für 6 Monate Gast an der TH Darmstadt. Er arbeitet seit mehr als 2 Jahrzehnten auf dem Gebiet der fuzzy sets, gehört zum Editorial Board der Zeitschrift FUZZY SETS AND SYSTEMS und erhielt 1992 den Forschungspreis Technische Kommunikation der Stuttgarter SEL-Stiftung.

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  • PublisherVieweg+Teubner Verlag
  • Publication date1993
  • ISBN 10 3528053119
  • ISBN 13 9783528053116
  • BindingHardcover
  • Number of pages216

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