部分指标权重信息下的区间数多指标决策方法  

A method for interval multiple attribute decision making with partial attribute weight information

作　　者：张尧[1] 樊治平[1] 

机构地区：[1]东北大学工商管理学院,沈阳110004

出　　处：《哈尔滨工业大学学报》2008年第10期1672-1676,共5页Journal of Harbin Institute of Technology

基　　金：国家优秀创新研究群体科学基金资助项目(70721001);国家杰出青年科学基金资助项目(70525002);国家自然科学基金资助项目(70701008);东北大学流程工业综合自动化教育部重点实验室资助项目(JCLL-01-05)

摘　　要：针对指标权重信息部分已知、部分未知且指标值为区间数形式的多指标决策问题,提出一种决策分析方法.在对具有部分指标权重信息的区间数多指标决策问题进行数学描述的基础上,依据传统的理想点方法的基本思路,给出解决指标权重信息不完全的区间数多属性决策问题的计算步骤,其核心是通过构建最优化模型,得到每个方案与正理想点、负理想点的差异值,进而通过计算出相对接近度,即可得到所有方案的排序结果.通过一个算例说明该方法的实用性和有效性.With respect to interval multiple attribute decision making problems with partial information of attribute weights, a decision analysis method is proposed. The interval multiple attribute decision making problem with partial information of attribute weights was introduced, and based on the traditional TOPSIS （Tech- nique for Order Preference by Similarity to Ideal Solution） method, calculation steps for solving interval multiple attribute decision making problems with partial information of attribute weights were given. In the method, an optimization model was constructed to determine deviation each between each alternative and the positive and negative ideal point. According to the deviation values, the relative closeness was calculated to rank alternatives. A numerical example was used to illustrate the practicality and effectiveness of the proposed method.

关 键 词：多指标决策 指标权重 区间数 最优化模型 

分 类 号：C934[经济管理—管理学] N945.25[自然科学总论—系统科学]