Similarity and Compatibility in Fuzzy Set Theory: Assessment and Applications

Author:   Valerie V. Cross ,  Thomas A. Sudkamp
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   Softcover reprint of hardcover 1st ed. 2002
Volume:   93
ISBN:  

9783790825077


Pages:   209
Publication Date:   21 October 2010
Format:   Paperback
Availability:   In Print   Availability explained
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Similarity and Compatibility in Fuzzy Set Theory: Assessment and Applications


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Author:   Valerie V. Cross ,  Thomas A. Sudkamp
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Physica-Verlag GmbH & Co
Edition:   Softcover reprint of hardcover 1st ed. 2002
Volume:   93
Dimensions:   Width: 15.50cm , Height: 1.20cm , Length: 23.50cm
Weight:   0.349kg
ISBN:  

9783790825077


ISBN 10:   3790825077
Pages:   209
Publication Date:   21 October 2010
Audience:   Professional and scholarly ,  Professional and scholarly ,  Professional & Vocational ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

1. Introduction.- 2. The Nature of Similarity.- 3. Historic Assessment of Compatibility.- 4. Foundations of Fuzzy Set Theory.- 5. Compatibility in Fuzzy Inference.- 6. Compatibility in Approximate Reasoning.- 7. Set-Theoretic Measures.- 8. Proximity-Based Measures.- 9. Logic-Based Measures.- 10. Fuzzy-Valued Similarity Measures.- 11. Generic Classification Domain.- 12. Set-Theoretic Comparative Study.- 13. Proximity-Based Comparative Study.- 14. Logic-Based Comparative Study.- 15. Comparison Among the Three Classes.- Index of Notation.- References.

Reviews

From the reviews: The present book is a monograph devoted to exploring the fuzzy approach to modeling the similarity phenomenon. ... I think the attempt to provide a link between the earlier approaches to modeling of similarity ... and the current approaches being developed in the framework of fuzzy set theory is a very fortunate one. ... the book collects important material which was needed. I believe it will become a useful source for researchers and practitioners involved in fuzzy modeling and modeling of similarity. (Radim Belohlavek, International Journal of General Systems; Methodology, Applications, Education, Vol. 32 (6), 2003) This book presents various types of techniques for compatibility assessment in applications of fuzzy set theory and approximate reasoning. ... The book will be useful for researchers in the fields of pattern recognition, classification and intelligent systems. (Robert Fuller, Mathematical Reviews, 2003 b) This book provides a pioneering review of compatibility measures in fuzzy set theory and related areas. As a result, this book is likely to be valuable for all researchers working in this area. ... By any criterion, this book can be regarded as being successful in providing a comprehensive understanding of compatibility measures that will be worthwhile for any researcher. (Christian Setzkorn, Expert Update, Vol. 5 (3), 2002)


From the reviews: The present book is a monograph devoted to exploring the fuzzy approach to modeling the similarity phenomenon. ! I think the attempt to provide a link between the earlier approaches to modeling of similarity ! and the current approaches being developed in the framework of fuzzy set theory is a very fortunate one. ! the book collects important material which was needed. I believe it will become a useful source for researchers and practitioners involved in fuzzy modeling and modeling of similarity. (Radim Belohlavek, International Journal of General Systems; Methodology, Applications, Education, Vol. 32 (6), 2003) This book presents various types of techniques for compatibility assessment in applications of fuzzy set theory and approximate reasoning. ! The book will be useful for researchers in the fields of pattern recognition, classification and intelligent systems. (Robert Fuller, Mathematical Reviews, 2003 b) This book provides a pioneering review of compatibility measures in fuzzy set theory and related areas. As a result, this book is likely to be valuable for all researchers working in this area. ... By any criterion, this book can be regarded as being successful in providing a comprehensive understanding of compatibility measures that will be worthwhile for any researcher. (Christian Setzkorn, Expert Update, Vol. 5 (3), 2002)


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