Fundamentals of Uncertainty Calculi with Applications to Fuzzy Inference

Author:   Michel Grabisch ,  Hung T. Nguyen ,  E.A. Walker
Publisher:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 1995
Volume:   30
ISBN:  

9789048144778


Pages:   350
Publication Date:   15 December 2010
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Fundamentals of Uncertainty Calculi with Applications to Fuzzy Inference


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Overview

This decade has witnessed increasing interest in fuzzy technology both from academia and industry. It is often said that fuzzy theory is easy and simple so that engineers can progress quickly to real applications. However, the lack of knowledge of design methodologies and the theoretical results of fuzzy theory have often caused problems for design engineers. The aim of this book is to provide a rigorous background for uncertainty calculi, with an emphasis on fuzziness. Fundamentals of Uncertainty Calculi with Applications to Fuzzy Inference is primarily about the type of knowledge expressed in a natural language, that is, in linguistic terms. The approach to modeling such knowledge is based upon the mathematical theory of uncertainty related to the fuzzy measures and integrals and their applications. The book consists of two parts: Chapters 2--6 comprise the theory, and applications are offered in Chapters 7--10. In the theory section the exposition is mathematical in nature and gives a complete background on uncertainty measures and integrals, especially in a fuzzy setting. Applications concern recent ones of fuzzy measures and integrals to problems such as pattern recognition, decision making and subjective multicriteria evaluations.

Full Product Details

Author:   Michel Grabisch ,  Hung T. Nguyen ,  E.A. Walker
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 1995
Volume:   30
Dimensions:   Width: 15.50cm , Height: 1.90cm , Length: 23.50cm
Weight:   0.557kg
ISBN:  

9789048144778


ISBN 10:   9048144779
Pages:   350
Publication Date:   15 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1 Introduction.- 2 Modeling Uncertainty.- 3 Capacities and the Choquet Functional.- 4 Information Measures.- 5 Calculus of Fuzzy Concepts.- 6 Fuzzy Measures and Integrals.- 7 Decision Making.- 8 Subjective Multicriteria Evaluation.- 9 Pattern Recognition and Computer Vision.- 10 Identification and Interpretation of Fuzzy Measures.

Reviews

'It provides the foundations of uncertainty calculus that enables one to complement conventional system theory. ... I can highly recommend the book to those interested in the new developments in this interesting area and who are not afraid of some mathematics.' International Journal of Electrical Engineering Education, 33:3 (1996)


'It provides the foundations of uncertainty calculus that enables one to complement conventional system theory. ... I can highly recommend the book to those interested in the new developments in this interesting area and who are not afraid of some mathematics.' International Journal of Electrical Engineering Education, 33:3 (1996)


'It provides the foundations of uncertainty calculus that enables one to complement conventional system theory. ... I can highly recommend the book to those interested in the new developments in this interesting area and who are not afraid of some mathematics.' International Journal of Electrical Engineering Education, 33:3 (1996)


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