一种考虑决策者风险偏好的区间数多属性决策方法  

An Approach to Multiple Attribute Decision Making with Intervals Considering the Risk Preferences of Decision-makers

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,辽宁沈阳110004

出　　处：《运筹与管理》2012年第1期70-74,共5页Operations Research and Management Science

基　　金：国家自然科学基金资助项目(70701008);教育部人文社会科学研究规划基金项目(11YJA630180)

摘　　要：针对属性值以区间数形式给出的多属性决策问题,提出了一种决策分析方法。在本文中,首先描述了属性值为区间数形式的多属性决策问题;然后通过引入决策者的风险偏好因子将区间数决策信息映射为实数值决策信息,并依据属性值与属性均值绝对偏差的大小确定了属性的权重,在此基础上依据所得权重给出了基于加权和法的方案排序方法,通过对风险偏好因子的不同取值还可进行方案排序的灵敏度分析。最后,通过一个算例说明了本文给出方法的可行性和有效性。An approach is proposed to solve the multiple attribute decision making problems with the attribute values in the form of interval numbers.In this paper,first,the description of the multiple attribute decision making problems with intervals is given.Then,the risk preference parameter of the decision maker is used to transfer the decision problem with intervals into the traditional decision problem with real values.Based on the absolute deviation between attributes values and attributes average values to get the attribute weights,a simple additive weighting method for ranking alternatives is given,and sensitivity analysis is made by selecting the different values of risk preference parameter.Finally,a numerical example is used to illustrate the feasibility and the validity of the approach proposed in this paper.

关 键 词：多属性决策 区间数 风险偏好因子 绝对偏差 灵敏度分析 

分 类 号：C934[经济管理—管理学]