Fundamentals of Fuzzy Sets
By: edited by Didier Dubois, Henri Prade
Contributors: Prade, Henri
Series: The Handbooks of Fuzzy Sets Series -- 7; Handbooks of fuzzy sets series -- 7.
Publisher: Springer US
Published: 2000
Place of publication: Boston, MA
Language: eng
Format: [electronic resource] /
Number of pages: 647
ISBN-13: 9781461369943; 9781461544296
Subjects: Mathematics; Artificial intelligence; Symbolic and mathematical Logic; Mechanical engineering; Operations research
Description: 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.
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