Mathematics Behind Fuzzy Logic (Advances in Intelligent and Soft Computing (Closed)) - Softcover

Turunen, Esko

 
9783790812213: Mathematics Behind Fuzzy Logic (Advances in Intelligent and Soft Computing (Closed))
Softcover
ISBN 10: 3790812218 ISBN 13: 9783790812213
Verlag: Physica-Verlag, 2000

Inhaltsangabe

Many results in fuzzy logic depend on the mathematical structure the truth value set obeys. In this textbook, the algebraic foundations of many-valued and fuzzy reasoning are introduced. The book is self-contained, thus no previous knowledge in algebra or in logic is required. It contains 134 exercises with complete answers, and can therefore be used as teaching material at universities for both undergraduated and postgraduated courses. The first chapter starts from such basic concepts as order, lattice, equivalence and residuated lattice. It contains a full section on BL-algebras. Chapter two concerns MV-algebra and its basic properties, while chapter three applies these mathematical results on Lukasiewicz-Pavelka style fuzzy logic, which is studied in details besides semantics, syntax and completeness of this logic, a lot of examples are given. The fourth chapter shows the connection between fuzzy relations, approximate reasoning and fuzzy IF-THEN rules to residuated lattices.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Reseña del editor

Many results in fuzzy logic depend on the mathematical structure the truth value set obeys. In this textbook, the algebraic foundations of many-valued and fuzzy reasoning are introduced. The book is self-contained, thus no previous knowledge in algebra or in logic is required. It contains 134 exercises with complete answers, and can therefore be used as teaching material at universities for both undergraduated and postgraduated courses. The first chapter starts from such basic concepts as order, lattice, equivalence and residuated lattice. It contains a full section on BL-algebras. Chapter two concerns MV-algebra and its basic properties, while chapter three applies these mathematical results on Lukasiewicz-Pavelka style fuzzy logic, which is studied in details besides semantics, syntax and completeness of this logic, a lot of examples are given. The fourth chapter shows the connection between fuzzy relations, approximate reasoning and fuzzy IF-THEN rules to residuated lattices.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Physica-Verlag
Erscheinungsdatum
2000
Sprache
Englisch
ISBN 10 
3790812218
ISBN 13 
9783790812213
Einband
Tapa blanda
Anzahl der Seiten
201
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Nicht verfügbar