基于熵权的模糊物元模型在城市人居环境质量综合评价中的应用

Application of Fuzzy Matter-element Model Based on Coefficients of Entropy in Evaluation of Urban Human Settlement

基于城市人居环境质量优劣的模糊性和单项指标评价结果的不相容性,在物元分析的基础上,结合模糊集理论和欧氏贴近度概念,建立了城市人居环境质量评价的模糊物元模型,并应用信息熵所反映数据本身的效用值来计算指标的权重系数,有效避免了权重分配困难的问题和主观判断城市人居环境质量优越标准的不确定性。实例研究表明,运用熵模糊物元模型评价城市人居环境质量状况,方法是可行的,结论是可靠的。

In view of the uncertainty of indexes for evaluating urban human settlement,a fuzzy matter-element model is established on the basis of the fuzzy set theory and the concept of Euclid approach degree.By calculating the Euclid approach degree of the evaluated fuzzy matter element to the standard fuzzy matter-element,the grade classification of urban human settlement of the evaluated samples is attained.This model can avoid the problem of unknown standard value of index in other researches.Furthermore,because the coefficients of weight in this model are derived from the avail value of data reflecting the information entropy,the problem of weight allocation can be avoided.The study results show that the fuzzy matter element method is practical for comprehensive evaluation of urban human settlement.