New German book on fuzzy methods

Benno Biewer (biewer-kozok@t-online.de)
Wed, 23 Apr 1997 08:41:09 +0200


Dear colleagues,
I would like to announce a new book on fuzzy methods and
fuzzy programming languages. This book is written in German.
Best regards,
Benno Biewer

Fuzzy-Methoden.
Praxisrelevante Rechenmodelle und Fuzzy-Programmiersprachen.
1997, Berlin, Heidelberg: Springer-Verlag,
XVI, 721 S., 113 Abb., 116 Tab., Geb., ISBN 3-540-61943-7,
DM 128,-; US $ 85,90; öS 934,40; SFr 113,-; FF 483,-; £55,50.

Keys:
fuzzy set theory, possibility theory, knowledge representation, approximate
reasoning, common sense reasoning, fuzzy control, fuzzy arithmetic,
generalized modus ponens, linguistic hedges (type I, type II), linguistic
variables, linguistic approximation, fuzzy production systems, fuzzy logic,
possibilistic logic, support logic, dispositional logic, fuzzy syllogism,
fuzzy expert systems, fuzzy pattern matching, fuzzy discrimination trees,
fuzzy programming languages, clifs, fril, milord, flops, system z-11,
spii, fops, flisp, fprolog, clos, meta-level systems, metaobject protocol

Abstract:

Besides a comprehensive introduction into the fuzzy set theory
the book contains a detailed discussion of rule-, relation-,
and logic-oriented calculi of approximate reasoning and a variety
of fuzzy programming languages. It makes a contribution to combine
approaches of the fuzzy set theory with knowledge representation
formalisms of the symbolic AI.

In the last chapter the findings will be compressed into a
profile of requirements. Principles of an architecture will
be described, which allow to exploit the degrees of freedom
of the fuzzy set theory in a wellformed way. In connection to
this a new fuzzy programming system will be introduced, which is
build on concepts described before. Based on its rich repertoire
of fuzzy operators, inference mechanisms, and its object-oriented
meta-level architecture the system supports the development of
complex applications and approximate reasoning procedures.

Comprehensive informal explanations, numerous examples, tables,
and figures support the understanding. It is written to everybody,
who wants to acquire knowledge of a broad spectrum of fuzzy methods,
which is as well theoretically founded as practically oriented.

Inhaltsuebersicht:

Kapitel 1: Fuzzy-Methoden - Gegenstandsbedeutung und Zielsetzung (1)
Kapitel 2: Das Konzept der unscharfen Menge -
Basisdefinitionen und Darstellungsformen (47)
Kapitel 3: Mathematische Eigenschaften und Gegenstandsadaequatheit
elementarer Fuzzy-Operatoren (75)
Kapitel 4: Fuzzy-Arithmetik auf der Basis des Erweiterungsprinzips (127)
Kapitel 5: Verknuepfungen, Eigenschaften und Typen unscharfer Relationen (155)
Kapitel 6: Ansaetze der Modellierung linguistischer Hecken (189)
Kapitel 7: Das Konzept der linguistischen Variable (227)
Kapitel 8: Approximatives Schliessen auf der Basis des
generalisierten Modus ponens (263)
Kapitel 9: Zadehs Fuzzy-Logik und possibilistische Semantiktheorie (303)
Kapitel 10: "Fuzzy-Pattern-Matching" - Masse der
Kompatibilitaet und Vergleichsalgorithmen (333)
Kapitel 11: Methoden der Fuzzy-Regelungstechnik (371)
Kapitel 12: Unschaerfe- und Unsicherheitsmodellierung
in "Fuzzy-Produktionensystemen" (411)
Kapitel 13: Unsichere und unscharfe Deduktionen von
bewerteten Hornklauseln (451)
Kapitel 14: Leistungsmerkmale und Defizite von
Fuzzy-Programmiersprachen (491)
Kapitel 15: Architektur und Funktionalitaet von CLIFS (593)
Glossar mathematischer Symbole (663)
Literatur (667)
Tabellenverzeichnis (699)
Abbildungsverzeichnis (703)
Sachverzeichnis (707)

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