| Fundamentals of Fuzzy Sets 2000 Edition Contributor(s): DuBois, Didier (Editor), Prade, Henri (Editor) |
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ISBN: 079237732X ISBN-13: 9780792377320 Publisher: Springer OUR PRICE: $161.49 Product Type: Hardcover - Other Formats Published: January 2000 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Set Theory - Computers | Intelligence (ai) & Semantics - Mathematics | Logic |
| Dewey: 511.322 |
| LCCN: 99-049471 |
| Series: Handbooks of Fuzzy Sets |
| Physical Information: 1.44" H x 6.14" W x 9.21" (2.46 lbs) 647 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |