Siegfried Gottwald

Fuzzy Sets and Fuzzy Logic

The Foundations of Application - from a Mathematical Point of View

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Computational Intelligence
• Verlag: Vieweg+Teubner / Vieweg+Teubner Verlag
• Artikelnr. des Verlages: 978-3-322-86813-8
• Seitenzahl: 228
• Erscheinungstermin: 8. März 2012
• Deutsch
• Abmessung: 244mm x 170mm x 13mm
• Gewicht: 401g
• ISBN-13: 9783322868138
• ISBN-10: 3322868133
• Artikelnr.: 36114134

Autorenporträt

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.

Inhaltsangabe

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.