Mathematical Principles of Fuzzy Logic
By: by Vilém Novák, Irina Perfilieva, Jiří Močkoř
Contributors: Perfilieva, Irina; Močkoř, Jiří
Series: The Springer International Series in Engineering and Computer Science -- 517; International series in engineering and computer science -- 517.
Publisher: Springer US
Published: 1999
Place of publication: Boston, MA
Language: eng
Format: [electronic resource] /
Number of pages: 320
ISBN-13: 9781461373773; 9781461552178
Subjects: Mathematics; Symbolic and mathematical Logic; Artificial intelligence; Electronic data processing
Description: 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.
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