摘要
研究了方案偏好信息以区间数互反判断矩阵形式给出,属性偏好信息以区间数互补判断矩阵形式给出的不确定多属性决策问题。首先针对属性值以实数形式给出的多属性决策问题,基于区间数判断矩阵一致性的性质,建立了求解属性和方案偏好信息一致性程度最大化的线性规划模型,然后把其推广到属性值以区间数形式给出的多属性决策问题,最后通过一个算例说明了该方法的适用性和有效性。
The uncertain multiple attribute decision making problem is investigated,in which the decision maker has preference information on alternatives in the form of interval reciprocal judgment matrix and the information about attribute weights is in the form of interval complementary judgment matrix.First,on the basis of the property of interval judgment matix,a modle maxmixing the consistency of preference information is introduced to asses the weights of attributes in the crisp multiple arribute decision making problem.Then the method is extended to the interval multiple attribute decision making problem.Finally,a numerical example is provided to illustrate the validity and practicality of the proposed methods.
出处
《运筹与管理》
CSCD
北大核心
2010年第4期73-77,共5页
Operations Research and Management Science
基金
国家自然科学基金项目(10671108)
校资助项目(2008101XGQ0109)
关键词
多属性决策
区间数
判断矩阵
一致性
multiple attribute decision making
interval numbers
judgmtent matrix
consistency
