Mathematical Principles of Fuzzy Logic

Vilém Novák, Irina Perfilieva, J. Mockor (Autoren)

Buch | Softcover

320 Seiten

2012 | Softcover reprint of the original 1st ed. 1999
Springer-Verlag New York Inc.
978-1-4613-7377-3 (ISBN)

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Mathematical Principles of Fuzzy Logic provides a systematic study of the formal theory of fuzzy logic. 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.

Mathematical Principles of Fuzzy Logic 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.

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.

Erscheint lt. Verlag	8.10.2012
Reihe/Serie	The Springer International Series in Engineering and Computer Science ; 517
Zusatzinfo	XIII, 320 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Informatik ► Theorie / Studium ► Algorithmen
	Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik
	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
ISBN-10	1-4613-7377-8 / 1461373778
ISBN-13	978-1-4613-7377-3 / 9781461373773
Zustand	Neuware