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Produktbild: Nguyen, H: A First Course in Fuzzy Logic

Nguyen, H: A First Course in Fuzzy Logic

Aus der Reihe Textbooks in Mathematics

193,99 €

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Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

28.11.2018

Abbildungen

36 SW-Abb., 3 Tabellen

Verlag

Taylor & Francis

Seitenzahl

458

Maße (L/B/H)

23,4/15,6/2,8 cm

Gewicht

822 g

Auflage

4. Auflage

Sprache

Englisch

ISBN

978-1-138-58508-9

Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

28.11.2018

Abbildungen

36 SW-Abb., 3 Tabellen

Verlag

Taylor & Francis

Seitenzahl

458

Maße (L/B/H)

23,4/15,6/2,8 cm

Gewicht

822 g

Auflage

4. Auflage

Sprache

Englisch

ISBN

978-1-138-58508-9

Herstelleradresse

Taylor and Francis
Taylor & Francis Verlag GmbH, Kaufingerstraße 24
80331 München
DE
gpsr@taylorandfrancis.com

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  • Produktbild: Nguyen, H: A First Course in Fuzzy Logic

  • The Concept of Fuzziness

    Examples. Mathematical modeling. Some operations on fuzzy sets. Fuzziness as uncertainty.

    Some Algebra of Fuzzy Sets

    Boolean algebras and lattices. Equivalence relations and partitions. Composing mappings. Isomorphisms and homomorphisms. Alpha-cuts. Images of alpha-level sets.

    Fuzzy Quantities

    Fuzzy quantities. Fuzzy numbers. Fuzzy intervals.

    Logical Aspects of Fuzzy Sets

    Classical two-valued logic. A three-valued logic. Fuzzy logic. Fuzzy and Lukasiewicz logics. Interval-valued fuzzy logic.

    Basic Connectives

    t-norms. Generators of t-norms. Isomorphisms of t-norms. Negations. Nilpotent t-norms and negations. T-conforms. De Morgan systems. Groups and t-norms. Interval-valued fuzzy sets. Type-2 fuzzy sets.

    Additional Topics on Connectives

    Fuzzy implications. Averaging operators. Powers of t-norms. Sensitivity of connectives. Copulas and t-norms.

    Fuzzy Relations

    Definitions and examples. Binary fuzzy relations. Operations on fuzzy relations. Fuzzy partitions. Fuzzy relations as Chu spaces. Approximate reasoning. Approximate reasoning in expert systems. A simple form of generalized modus ponens. The compositional rule of inference.

    Universal Approximation

    Fuzzy rule bases. Design methodologies. Some mathematical background. Approximation capability.

    Possibility Theory

    Probability and uncertainty. Random sets. Possibility measures.

    Partial Knowledge

    Motivations. Belief functions and incidence algebras. Monotonicity. Beliefs, densities, and allocations. Belief functions on infinite sets. Mobius transforms of set-functions. Reasoning with belief functions. Decision making using belief functions. Rough sets. Conditional events.

    Fuzzy Measures

    Motivation and definitions. Fuzzy measures and lower probabilities. Fuzzy measures in other areas. Conditional fuzzy measures.

    The Choquet Integral

    The Lebesgue integral. The Sugeno integral. The Choquet integral.

    Fuzzy Modeling and Control

    Motivation for fuzzy control. The methodology of fuzzy control. Optimal fuzzy control. An analysis of fuzzy control techniques.