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.
By:
Chongfu Huang, Yong Shi Imprint: Physica-Verlag GmbH & Co Country of Publication: Germany Edition: 2002 ed. Volume: 99 Dimensions:
Height: 235mm,
Width: 155mm,
Spine: 22mm
Weight: 1.610kg ISBN:9783790814750 ISBN 10: 379081475X Series:Studies in Fuzziness and Soft Computing Pages: 370 Publication Date:27 May 2002 Audience:
College/higher education
,
Professional and scholarly
,
Professional & Vocational
,
A / AS level
,
Further / Higher Education
Format:Hardback Publisher's Status: Active
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.