基于权重矩阵的模糊决策模型及城市金融聚集度评价

THE MODEL AND ITS APPLICATION OF FUZZY DECISION MAKING WITH ITSELF FEEDBACK BASED ON WEIGHT MATRIX

针对多目标多维模糊决策的特点,依据模糊识别理论提出了一种基于目标权重矩阵的多维自反馈模糊决策模型.首先分析了基于权重向量的多目标多维自反馈模糊决策模型的不足,依据带有监督因子和稳定系数的模糊目标函数,提出了确定目标权重矩阵的计算公式;然后给出了基于目标权重矩阵的多维自反馈模糊决策模的算法;最后,将基于目标权重矩阵的自反馈模糊决策模型应用于中国中部五城市金融聚集度评价决策.应用实例说明本文提出的模糊决策模型是有效的,并且计算收敛速度快。

According to the feature of multi - objective and multi - dimensional fuzzy decision making, based on the theories of fuzzy recognition, the pattern of multi - objective and multi - dimensional fuzzy decision with feedback based on weight matrix is presented in this paper. pattern of multi - objective and multi - dimensional fuzzy decision making At first, after pointing out the shortages of the making with feedback based on weight vector, based on the fuzzy object function with supervised factor and stability coefficient, a formula for computing weight matrix is given. Secondly, the algorithm of the multi - dimensional fuzzy decision weight matrix is expressed verbally. At last, the pattern of fuzzy decision makig making with feedback based on with feedback based on weight matrix is used to evaluate finance contagion of Chinese five center cities. The applied example show that the model presented in this paper is valid and its calculating cinvergence speed is faster.