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Fundamentals of fuzzy sets
Abstract
Fundamentals of Fuzzy Sets covers the basic elements of fuzzy set theory. Its four-part organization provides easy referencing of recent as well as older results in the field. 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.
Details | Table of Contents
history and basic notions
pp.21-124
https://doi.org/10.1007/978-1-4615-4429-6_2pp.125-193
https://doi.org/10.1007/978-1-4615-4429-6_3theoretical and empirical work
pp.195-227
https://doi.org/10.1007/978-1-4615-4429-6_4advanced material
pp.261-290
https://doi.org/10.1007/978-1-4615-4429-6_6pp.291-340
https://doi.org/10.1007/978-1-4615-4429-6_7pp.343-438
https://doi.org/10.1007/978-1-4615-4429-6_8Publication details
Publisher: Springer
Place: Dordrecht
Year: 2000
Pages: 647
Series: The Handbooks of Fuzzy Sets Series
Series volume: 7
DOI: 10.1007/978-1-4615-4429-6
ISBN (hardback): 978-1-4613-6994-3
ISBN (digital): 978-1-4615-4429-6
Full citation:
Dubois Didier, Prade Henri (2000) Fundamentals of fuzzy sets. Dordrecht, Springer.