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THE 'HYBRID' TECHNIQUE FOR RISK ANALYSIS OF SOME DISEASES
引用本文:SHANG Hanji,LU Yuchu,XU Xuemei,CHEN Qian. THE 'HYBRID' TECHNIQUE FOR RISK ANALYSIS OF SOME DISEASES[J]. 数学年刊B辑(英文版), 2001, 22(4): 475-484
作者姓名:SHANG Hanji  LU Yuchu  XU Xuemei  CHEN Qian
摘    要:Based on the data obtained from a survey recently made in Shanghai, this paper presents the hybrid technique for risk analysis and evaluation of some diseases. After determination of main risk factors of these diseases by analysis of variance, the authors introduce a new concept ‘Illness Fuzzy Set‘ and use fuzzy comprehensive evaluation to evaluate the risk of suffering from a disease for residents. Optimal technique is used to determinethe weights wi in fuzzy comprehensive evaluation, and a new method ‘Improved Information Distribution‘ is also introduced for the treatment of small sample problem. It is shown that the results obtained by using the hybrid technique are better than by using single fuzzy technique or single statistical method.

关 键 词:模糊集  模糊综合评判  最优化  方差分析  风险分析  疾病  统计学  混合技术

THE 'HYBRID' TECHNIQUE FOR RISK ANALYSIS OF SOME DISEASES
SHANG Hanji,LU Yuchu,XU Xuemei and CHEN Qian. THE 'HYBRID' TECHNIQUE FOR RISK ANALYSIS OF SOME DISEASES[J]. Chinese Annals of Mathematics,Series B, 2001, 22(4): 475-484
Authors:SHANG Hanji  LU Yuchu  XU Xuemei  CHEN Qian
Affiliation:[1]DepartmentofMathematics,FudanUniversity,Shanghai200433,China. [2]DepartmentofMathematics,ShanghaiUniversity,Shanghai200436,China. [3]InstituteofMathematics,FudanUniversity,Shanghai200433,China.
Abstract:Based on the data obtained from a survey recently made in Shanghai,this paper presents the hybrid technique for risk analysis andevaluation of some diseases.After determination of main risk factors of these diseases by analysisof variance, the authors introduce a new concept 'Illness Fuzzy Set' and usefuzzy comprehensive evaluation to evaluate the risk of suffering from adisease for residents. Optimal technique is used to determine theweights $w_{i}$ in fuzzy comprehensive evaluation, and a new method`Improved Information Distribution' is also introduced for thetreatment of small sample problem.It is shown that the results obtained by using the hybrid technique arebetter than by using single fuzzy technique or single statisticalmethod.
Keywords:Illness fuzzy set   Statistics   Fuzzy comprehensive evaluation   Informationdistribution   Optimization
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