Fuzzy Sets and Fuzzy Logic

The Foundations of Application - from a Mathematical Point of View

von Siegfried Gottwald

228 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

1 Logical Preliminaries.- 1.1 Basic notions.- 1.2 t-norms and ?-operators.- 1.3 t-norm based connectives.- 2 Basic fuzzy set theory.- 2.1 Set algebra for fuzzy sets.- 2.2 Fuzzy relations.- 2.3 The full image under a relation.- 2.4 Special types of fuzzy relations.- 2.5 Graded properties of fuzzy relations.- 3 Set equations with fuzzy sets.- 3.1 Fuzzy equations and some of their applications.- 3.2 Solvability of fuzzy relational equations.- 3.3 Solvability of fuzzy arithmetical equations.- 3.4 Solvability of systems of fuzzy equations.- 3.5 Solvability degrees and approximate solutions.- 3.6 Towards more difficult equations.- 4 Fuzzy controllers.- 4.1 The construction of fuzzy controllers.- 4.2 The problem of interaction.- 4.3 Manipulation of fuzzy data.- 5 Methodological issues.- 5.1 Comparison of fuzzy sets.- 5.2 Approximate solutions.- 5.3 Fuzzy equations for processing fuzzy data.- 5.4 Evaluation of fuzzy models.- 5.5 Controllability and predictability.

• Reihe: Computational Intelligence
• Themen: Technologie, Ingenieurswissenschaft, Landwirtschaft, Industrieprozesse Technologie, allgemein Ingenieurswesen, Maschinenbau allgemein
• ISBN: 9783322868138
• Sprache: Deutsch
• Erscheinungsdatum: 08.03.2012
• Größe: 244 x 170 mm
• Verlag: Vieweg+Teubner Verlag