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Table of contents (12 chapters)
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Front Matter
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General Introduction
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Fuzzy Sets on the Real Line
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Front Matter
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Back Matter
Keywords
About this book
The first part discusses the historical emergence of fuzzy sets, and delves into fuzzy set connectives, and the representation and measurement of membership functions. The second part covers fuzzy relations, including orderings, similarity, and relational equations. The third part, devoted to uncertainty modelling, introduces possibility theory, contrasting and relating it with probabilities, and reviews information measures of specificity and fuzziness. The last part concerns fuzzy sets on the real line - computation with fuzzy intervals, metric topology of fuzzy numbers, and the calculus of fuzzy-valued functions. Each chapter is written by one or more recognized specialists and offers a tutorial introduction to the topics, together with an extensive bibliography.
Editors and Affiliations
Bibliographic Information
Book Title: Fundamentals of Fuzzy Sets
Editors: Didier Dubois, Henri Prade
Series Title: The Handbooks of Fuzzy Sets
DOI: https://doi.org/10.1007/978-1-4615-4429-6
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 2000
Hardcover ISBN: 978-0-7923-7732-0Published: 31 January 2000
Softcover ISBN: 978-1-4613-6994-3Published: 04 October 2012
eBook ISBN: 978-1-4615-4429-6Published: 06 December 2012
Series ISSN: 1388-4352
Edition Number: 1
Number of Pages: XXI, 647
Topics: Mathematical Logic and Foundations, Artificial Intelligence, Operations Research/Decision Theory, Mechanical Engineering