Systems Analytic Models for Fuzzy Risk Estimation

In this contribution we analyse the difficulties of risk estimation on natural disasters in the real world and present a fuzzy mathematical model, based on the principle of information diffusion, to estimate fuzzy risk of natural disasters. Moreover, we illustrate an example, in earthquake engineering, to demonstrate how to use the model Finally, we show that the model is effective for assessing natural disaster risk.

[1]  Z. Govindarajulu The sequential statistical analysis of hypothesis testing, point and interval estimation, and decision theory , 1987 .

[2]  R. Fisher,et al.  On the Mathematical Foundations of Theoretical Statistics , 1922 .

[3]  Z.-R. Liu,et al.  Information distribution method relevant in fuzzy reasoning , 1990 .

[4]  L. Breiman,et al.  Variable Kernel Estimates of Multivariate Densities , 1977 .

[5]  L. Zadeh Probability measures of Fuzzy events , 1968 .

[6]  Bradley P. Carlin,et al.  BAYES AND EMPIRICAL BAYES METHODS FOR DATA ANALYSIS , 1996, Stat. Comput..

[7]  Colin B. Brown A Fuzzy Safety Measure , 1979 .

[8]  A. Esogbue,et al.  On the application of fuzzy sets theory to the optimal flood control problem arising in water resources systems , 1992 .

[9]  Luc Devroye,et al.  Nonparametric Density Estimation , 1985 .

[10]  Kirk R. Karwan,et al.  Can We Manage Natural Hazards?@@@Evacuation Planning in Emergency Management@@@Social Science and Natural Nazards@@@Natural Hazard Risk Assessment and Public Policy: Anticipating the Unexpected , 1982 .

[11]  Kurt J. Schmucker,et al.  Fuzzy Sets, Natural Language Computations, and Risk Analysis , 1983 .

[12]  W. Wertz Statistical density estimation: A survey , 1978 .

[13]  Huang Chong-fu,et al.  Principle of information diffusion , 1997 .

[14]  Cinna Lomnitz,et al.  Seismic risk and engineering decisions , 1976 .

[15]  Fabian C. Hadipriono,et al.  A rule-based fuzzy logic deduction technique for damage assessment of protective structures , 1991 .

[16]  James C. Bezdek,et al.  Analysis of fuzzy information , 1987 .

[17]  E. Parzen On Estimation of a Probability Density Function and Mode , 1962 .

[18]  Da Ruan,et al.  Information Diffusion Principle and Application in Fuzzy Neuron , 1996 .

[19]  Lance J. Hoffman,et al.  SECURATE - Security evaluation and analysis using fuzzy metrics , 1978, AFIPS National Computer Conference.

[20]  B. Silverman Density estimation for statistics and data analysis , 1986 .

[21]  W. Dong,et al.  Fuzzy computations in risk and decision analysis , 1985 .

[22]  Donald Paul Clements,et al.  Fuzzy ratings for computer security evaluation. , 1977 .