基于熵权的模糊物元模型在城市生态系统健康评价中的应用

Application of the fuzzy matter-element model based on coefficients of entropy to evaluation of urban ecosystem health

鉴于城市生态系统健康概念的模糊性和单项指标评价结果的不相容性,将熵值理论与模糊物元建模相结合,建立了基于熵权的城市生态系统健康评价模糊物元模型,避免主观判断城市生态系统健康标准的不确定性。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,能有效避免权重分配困难的问题。并将该模型应用于重庆市主城区在某一段特定时间内（1997~2004年）的生态系统健康评价,评价结果表明：8年来重庆市主城区城市生态系统健康状况从好到坏的排序依次为：2004,2003,2002,2001,2000,1999,1998,1997,表明重庆市主城区自然生态环境与社会、经济发展的协调性在逐渐加强。

In view of the uncertainty of indexes for evaluating urban ecosystem health, the entropy value theory is used to combine with the fuzzy matter-element method to establish an entropy fuzzy matter-element model. This model can avoid the problem of the unknown standard value of index in other researches. Furthermore, the coefficients of weight in this model are derived from the avail value of data reflecting the information entropy. By this method, the problem of weight allocation can be avoided. As a case, the model proposed above is used to assess the health conditions of the Chongqing main urban districts ecosystem from 1997 to 2004. The results show that the health status of the Chongqing main urban districts has been improved in 8 years. The sequence from good to poor is 2004, 2003, 2002, 2001, 2000, 1999, 1998, 1997, indicating that the development of environment, society and economic becomes harmonious.