Mathematical Principles of Fuzzy Logic

Softcover Nachdruck of the original 1. Auflage 1999
ISBN: 978-1-4613-7377-3
Verlag: Springer US

Buch, Englisch, 320 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 517 g

Reihe: The Springer International Series in Engineering and Computer Science

provides a systematic study of the formal theory of fuzzy logic. The book is based on logical formalism demonstrating that fuzzy logic is a well-developed logical theory. It includes the theory of functional systems in fuzzy logic, providing an explanation of what can be represented, and how, by formulas of fuzzy logic calculi. It also presents a more general interpretation of fuzzy logic within the environment of other proper categories of fuzzy sets stemming either from the topos theory, or even generalizing the latter.
This book presents fuzzy logic as the mathematical theory of vagueness as well as the theory of commonsense human reasoning, based on the use of natural language, the distinguishing feature of which is the vagueness of its semantics.

Zielgruppe

Research

Autoren/Hrsg.

Novák, Vilém

Mockor, J.

Perfilieva, Irina

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik
• Mathematik | Informatik EDV | Informatik Informatik Künstliche Intelligenz
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik

Inhaltsverzeichnis

1. Fuzzy Logic: What, Why, for Which?.- 2. Algebraic Structures for Logical Calculi.- 3. Logical Calculi and Model Theory.- 4. Fuzzy Logic in Narrow Sense.- 5. Functional Systems in Fuzzy Logic Theories.- 6. Fuzzy Logic in Broader Sense.- 7. Topoi and Categories of Fuzzy Sets.- 8. Few Historical and Concluding Remarks.- References.