Fundamentals Of Fuzzy Sets

Author: Didier Dubois
Editor: Springer Science & Business Media
ISBN: 1461544297
File Size: 67,30 MB
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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.
Fundamentals of Fuzzy Sets
Language: en
Pages: 647
Authors: Didier Dubois, Henri Prade
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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
Mathematical Principles of Fuzzy Logic
Language: en
Pages: 320
Authors: Vilém Novák, Irina Perfilieva, J. Mockor
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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,
Fundamentals of Statistics with Fuzzy Data
Language: en
Pages: 195
Authors: Hung T. Nguyen, Berlin Wu
Categories: Computers
Type: BOOK - Published: 2006-03-20 - Publisher: Springer-Verlag New York Incorporated

This book presents basic aspects for a theory of statistics with fuzzy data, together with a set of practical applications. Theories of fuzzy logic and of random closed sets are used as basic ingredients in building statistical concepts and procedures in the context of imprecise data, including coarse data analysis.
An Introduction to Computing with Fuzzy Sets
Language: en
Pages: 283
Authors: Witold Pedrycz
Categories: Technology & Engineering
Type: BOOK - Published: 2020-08-11 - Publisher: Springer Nature

This book provides concise yet thorough coverage of the fundamentals and technology of fuzzy sets. Readers will find a lucid and systematic introduction to the essential concepts of fuzzy set-based information granules, their processing and detailed algorithms. Timely topics and recent advances in fuzzy modeling and its principles, neurocomputing, fuzzy
Fundamentals of the New Artificial Intelligence
Language: en
Pages: 231
Authors: Toshinori Munakata
Categories: Computers
Type: BOOK - Published: 2001-11-14 - Publisher: Springer Science & Business Media

A first course in AI, covering new technologies and their applications. With each topic, the book covers the most essential and widely employed material, particularly as it is used in real-world applications. The prerequisites are minimal: a basic understanding of computer science and mathematics is sufficient, making this suitable for