一种基于误差分析的区间数多属性决策方法  

An Error-Analysis-Based Approach for Multi-attribute Decision Making with Interval Numbers

作　　者：尤天慧[1] 高美丽[1] 

机构地区：[1]东北大学工商管理学院,沈阳110819

出　　处：《系统管理学报》2014年第2期224-228,共5页Journal of Systems & Management

基　　金：国家自然科学基金资助项目(71271049;71171043;71101021);教育部人文社会科学研究规划基金资助项目(11YJA630180)

摘　　要：针对属性值以区间数形式给出,属性权重信息完全未知的区间数多属性决策问题,提出了一种基于误差分析的方法。对区间数多属性决策问题及误差传递公式进行了描述,并将区间数决策矩阵写为误差分布的形式。利用属性中间值决策信息,给出了基于属性值绝对偏差的大小确定属性权重中间值的方法,并依据线性加权算法得到方案综合评价值的中间值。在此基础上,依据误差传递公式求出属性权重和方案综合评价值的误差估计值,由此得到权重区间和方案综合评价值区间。进一步利用基于可能度的区间数排序方法得到方案排序。最后,给出了一个算例。An error analysis-based approach is proposed to deal with multi attribute problems, where the information about the attribute values is in the form of interval numbers weights are unknown completely. We first present the description of the multi attribute problems with interval numbers and the basic principle of error propagation, with the interval matrix being transformed into the form of error distribution. Then, according to the informa decision making and the attribute decision making numbers decision tion of attributes median decision matrix, we develop a method for determining the medians of attributes weights based on the absolute deviation of attributes values, and calculate the medians of comprehensive evaluation values based on linear weighting algorithm. We then obtain the error estimate values of attributes weights and comprehensive evaluation values based on the error propagation, and the intervals of attributes weights and comprehensive evaluation values. We can also determine the ranking of alternatives by using the ranking m numbers based on possibility degree. An example is given to illustrate the effectiveness approach. ethod of interval of the proposed approach.

关 键 词：多属性决策 区间数 绝对偏差 线性加权算法 误差传递 

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