摘要
针对方案属性值为三参数区间灰数的动态多属性决策问题,提出一种基于前景理论的动态多属性决策方法.定义了三参数区间灰数距离测度和排序方法;鉴于被评价对象在时序上的差异信息和波动性,建立基于方差和时间度的确定时间权重的优化模型;以两两方案互为参考点确定前景价值函数,由此构建求解最优权向量的优化模型,并通过求解方案的综合前景值对方案进行排序.实例研究表明了该方法的合理性和有效性.
For dynamic multi-attribute decision-making problems,in which the attribute value of alternatives is threeparameter interval grey number,a dynamic multi-attribute decision making method based on the prospect theory is proposed.The distance measure and ranking method of three-parameters interval grey numbers is defined in view of differences and volatility of the evaluation objects in the timing,an optimized model based on the variance and time degree is built to determine the time weight.The prospect value function is determined with reference to each other alternatives,and a multiindex optimization model can be built to solve the optimum weight vector,and the alternatives are ranked based on integrated prospect values.An example is presented to illustrate the usefulness and effectiveness of the proposed method.
出处
《控制与决策》
EI
CSCD
北大核心
2015年第9期1623-1629,共7页
Control and Decision
基金
国家自然科学基金项目(71071077
71371098)
中央高校基本科研业务费专项资金项目(NC2012001)
江苏省高校哲学社会科学重点研究基金重大项目(2012JDXM005)
江苏省普通高校研究生科研创新计划项目(CXZZ13_0183)
关键词
三参数区间灰数
时间度
前景理论
前景价值函数
three-parameter interval grey number
time degree
prospect theory
prospect value function
