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基于博弈论改进TOPSIS模型的构建及应用
引用本文:袁伟,王毅,文俊.基于博弈论改进TOPSIS模型的构建及应用[J].水利与建筑工程学报,2016,0(1):188-191.
作者姓名:袁伟  王毅  文俊
作者单位:重庆市水利电力建筑勘测设计研究院,重庆400020
摘    要:对工程方案进行综合比选时,传统方法往往因指标定权计算方法选用不适宜,进而影响到评价 结果的精度和合理性。综合考虑生态效益、经济效益、社会效益,按照实用性、代表性等原则建立评价指 标体系,提出用“垂直距离”替代“欧式距离”对传统的TOPSIS模型进行改进,从而建立基于博弈论的改 进TOPSIS模型,并将该模型用于重庆市境内的双溪河整治工程的方案优选中。实例应用结果表明,该 方法用于工程方案的综合评价是可行的,评价结果较为可靠、合理,为其他工程方案综合评价提供了一 种新方法和借鉴经验。

关 键 词:逼近理想解的排序法  集对分析  博弈论权重  最小相对熵原理

Establishment and Application of the Improved TOPSIS Model Based on Game Theory
Abstract:The conventional method is not suitable for comprehensive evaluation of project schemes due to its improper selection of calculation method for index weights ,and then ,the inappropriate method will affect the accuracy and ratio-nality of the evaluation results .With comprehensive consideration of maximizing ecological benefit ,economic benefit and social benefit ,an evaluation index system was established according to the practical and representative principle .The conventional TOPSIS model was improved by replacing"Euclidean distance"with"vertical distance" ,and a new model based on game theory was established and applied to the evaluation of Shuangxi river regulation schemes in Chongqing . The application result indicates that ,this method is suitable for the comprehensive evaluation of project schemes with reli-able and reasonable results .This new method provides a new approach and some reference for the evaluation of other pro-ject schemes .
Keywords:TOPSIS  SPA  game theory weights  minimum relative entropy principle
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