An application of calculated fuzzy risk

In this paper, we use the interior-outer-set model to calculate the risk of crop flood and order farming alternatives for Huarong County, China, where only a small sample of eight observations is available. Any risk assessment from the data must be imprecise. The risk calculated by this suggested model is a particular case among imprecise probabilities, called possibility–probability distribution. We discuss in detail how to order alternatives based on a possibility–probability distribution. The result shows, aside subjective assessment, the fuzzy risk can also be calculated. The comparison shows that the ordering based on a calculated fuzzy risk is better than one based on a histogram estimate. 2002 Elsevier Science Inc. All rights reserved.

[1]  Huang Chongfu,et al.  Fuzzy risk and calculation , 1999, 18th International Conference of the North American Fuzzy Information Processing Society - NAFIPS (Cat. No.99TH8397).

[2]  Abraham Kandel,et al.  Statistical tests for fuzzy data , 1995 .

[3]  Huang Chong-fu,et al.  Demonstration of benefit of information distribution for probability estimation , 2000 .

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

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

[6]  Wang Guangyuan,et al.  On fuzzy random linear programming , 1994 .

[7]  C M Kozma,et al.  Managing risks. , 1997, Managed care interface.

[8]  Michael L. Donnell,et al.  Fuzzy Decision Analysis , 1979, IEEE Transactions on Systems, Man, and Cybernetics.

[9]  Stanisław Heilpern.  Fuzzy subsets of the space of probability measures and expected value of fuzzy variable , 1993 .

[10]  Gert de Cooman.  Lower Desirability Functions: A Convenient Imprecise Hierarchical Uncertainty Model , 1999, ISIPTA.

[11]  Sankar K. Pal,et al.  Fuzzy Mathematical Approach to Pattern Recognition , 1986 .

[12]  Anthony N. S. Freeling.  Fuzzy Sets and Decision Analysis , 1980, IEEE Transactions on Systems, Man, and Cybernetics.

[13]  A. Kandel,et al.  Fuzzy sets, fuzzy algebra, and fuzzy statistics , 1978, Proceedings of the IEEE.

[14]  José L. Verdegay,et al.  A model for linguistic partial information in decision‐making problems , 1994, Int. J. Intell. Syst..

[15]  A. V. Machias,et al.  Fuzzy risk index of wind sites , 1992 .

[16]  Chongfu Huang,et al.  Principle of information diffusion , 1997, Fuzzy Sets Syst..