Weight Integration Method without Preference on Multi-attribute Decision Making
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摘要: 针对具有条件属性和决策属性的多属性决策系统在融合主观权重与客观权重时具有人为偏好的缺陷,为实现客观权重与主观权重的无偏好融合,用粗集理论中的属性重要性原理确定各属性的客观权重,再用MATLAB中细胞数组的基本特征和多维空间距离的概念,建立了基于空间距离的二次规划数学模型,确定无人为偏好的主客观权重融合方案.用对流感病人诊断过程的知识决策表说明了本方法的可行性.Abstract: To overcome the shortcomings resulted from the preferred integration between subjective and objective weights in multi-attribute decision-making with condition and decision attributes,a quadratic programming model was proposed to get optimal weight integration without preference between the subjective and the objective weights.In the model,the objective weights are determined according to the attribute importance in rough sets theory,and the concepts of basic characteristic of the cell array in MATLAB and the distance in a multi-dimensional space are utilized.An example of diagnoses of flue patients was presented to show the feasibility of the proposed method.
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