摘要
针对属性权重与时间权重未知且属性值为区间数的一类决策问题,提出一种新的多属性多阶段决策方法.该方法首先无量纲化处理属性值,并运用灰色关联方法确定各阶段属性值的权重;然后综合考虑属性测度值与正、负理想效果值的接近性和时间权重本身的不确定性,运用极大熵原理建立多目标优化模型,并利用拉格朗日乘子法求解获得时间权重表达式,从而确定对象的综合评价值;最后通过实例验证了该方法的合理性与有效性.
@@@@For the multi-attribute and multistage decision-making problem that the attribute weights and time weights in each decision stage are unknown and the attribute value is interval numbers, a new decision-making method is proposed. Firstly, the original decision making information for each stage is standardized, and then grey relational analysis method is used to determine the weight of attribute values of each stage. Taking the proximity of the attribute measurement value and positive negative desired effect value and the uncertainty of time weight into account, a multi-objective optimization model based on the maximum entropy principle is established, and time weights expression is obtained by using Lagrange multiplier method, so that the comprehensive value and sort for each object can be determined. Finally, an example is given to verify the effectiveness and feasibility of the model.
出处
《控制与决策》
EI
CSCD
北大核心
2013年第6期940-944,949,共6页
Control and Decision
基金
国家自然科学基金项目(71173104
71171113
70901041)
南京航空航天大学博士学位论文创新与创优基金项目(BCXJ12-12)
江苏省普通高校研究生科研创新计划项目(CXLX12-0175)
关键词
灰色关联分析
极大熵原理
多目标优化模型
时间权重
grey relational analysis
maximum entropy principle
multi-objective optimization model
time weight
