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An Introduction to Computing with Fuzzy Sets: Analysis, Design, and Applications

✍ Scribed by Witold Pedrycz


Publisher
Springer International Publishing;Springer
Year
2021
Tongue
English
Leaves
287
Series
Intelligent Systems Reference Library 190
Edition
1st ed.
Category
Library

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✦ Synopsis


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 set estimation, granulation–degranulation, and fuzzy sets of higher type and order are discussed. In turn, a wealth of examples, case studies, problems and motivating arguments, spread throughout the text and linked with various areas of artificial intelligence, will help readers acquire a solid working knowledge. Given the book’s well-balanced combination of the theory and applied facets of fuzzy sets, it will appeal to a broad readership in both academe and industry. It is also ideally suited as a textbook for graduate and undergraduate students in science, engineering, and operations research.


✦ Table of Contents


Front Matter ....Pages i-xiv
Information Granules and Granular Computing (Witold Pedrycz)....Pages 1-11
Key Concepts of Fuzzy Sets (Witold Pedrycz)....Pages 13-35
Interval Calculus (Witold Pedrycz)....Pages 37-48
Fuzzy Relations and Relational Computing (Witold Pedrycz)....Pages 49-65
Fuzzy Set Transformation and Fuzzy Arithmetic (Witold Pedrycz)....Pages 67-78
Operations on Fuzzy Sets (Witold Pedrycz)....Pages 79-93
Higher Type, Higher Order Fuzzy Sets and Hybrid Fuzzy Sets (Witold Pedrycz)....Pages 95-108
User-Oriented Elicitation of Membership Functions (Witold Pedrycz)....Pages 109-124
Fuzzy Clustering (Witold Pedrycz)....Pages 125-145
The Principle of Justifiable Granularity (Witold Pedrycz)....Pages 147-160
Granulation-Degranulation Processes (Witold Pedrycz)....Pages 161-173
Fuzzy Models: Fundamentals and Design (Witold Pedrycz)....Pages 175-195
Fuzzy Rule-Based Models (Witold Pedrycz)....Pages 197-224
Fuzzy Neurocomputing (Witold Pedrycz)....Pages 225-247
Applications: Granular Models, Granular Classifiers and Fuzzy Cognitive Maps (Witold Pedrycz)....Pages 249-269
Back Matter ....Pages 271-283

✦ Subjects


Engineering; Computational Intelligence; Mathematical and Computational Engineering


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