Overview

The need for developing a better understanding of the behaviour of small samples by observing experiments presents a problem far beyond purely academic interest. This monograph describes the character of incomplete fuzzy information, and proposes and proves the principle of information diffusion. The focus lies in changing a traditional sample-point into a fuzzy set to partly fill the gap caused by incomplete data, so that the recognition of relationships between input and output can be improved. Part 1 examines the origins of the principle of information diffusion and describes the mathematical concepts and proofs. Topics covered include: information matrix, demonstration of information distribution, and the kernel function in terms of information diffusion. Part 2 covers applications such as earthquake engineering and risk assessment of flood, and demonstrates that the new theory is useful for studying practical cases.

Full Product Details

Author:   Chongfu Huang ,  Yong Shi
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Physica-Verlag GmbH & Co
Edition:   2002 ed.
Volume:   99
Dimensions:   Width: 15.50cm , Height: 2.20cm , Length: 23.50cm
Weight:   1.610kg
ISBN:  

9783790814750

ISBN 10:   379081475
Pages:   370
Publication Date:   27 May 2002
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

I: Principle of Information Diffusion.- 1. Introduction.- 2. Information Matrix.- 3. Some Concepts From Probability and Statistics.- 4. Information Distribution.- 5. Information Diffusion.- 6. Quadratic Diffusion.- 7. Normal Diffusion.- II: Applications.- 8. Estimation of Epicentral Intensity.- 9. Estimation of Isoseismal Area.- 10. Fuzzy Risk Analysis.- 11. System Analytic Model for Natural Disasters.- 12. Fuzzy Risk Calculation.- List of Special Symbols.

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