一种基于前景理论和投影的区间数多属性决策方法  

Interval Number Multi-attribute Decision Making Method Based on Prospect Theory and Projection

作　　者：付沙[1] 李博[1] 宋丹[1] 

机构地区：[1]湖南财政经济学院信息管理系,湖南长沙410205

出　　处：《长江大学学报（自科版）（上旬）》2014年第10期1-5,共5页JOURNAL OF YANGTZE UNIVERSITY (NATURAL SCIENCE EDITION) SCI ＆ ENG

基　　金：湖南省教育厅科学研究项目(14C0184);湖南省情与决策咨询研究课题(2013BZZ78)

摘　　要：针对备选方案中各属性权重信息不完全且属性值为区间数的多属性决策问题,提出一种基于前景理论的区间数多属性决策方法。依据区间数的距离公式给出其价值函数,引入投影思想来构建多目标规划模型,对收益和损失采用各自的处理方式以获得更为准确的决策权重,并通过价值函数和决策权重函数计算各方案的综合前景值。数值结果表明,该方法具有可行性和有效性。For multi-attribute decision making problems in the options with the weight of each attribute information being incomplete and the attribute value being interval number,a decision-making method is proposed based on prospect theory.The value of a function based on distance formula of interval numbers is given,the idea of projection is introduced to establish a multi-objective planning model,different approaches are used to obtain a more accurate decision weights on gains and losses.The integrated prospects value on each program is calculate by the value function and decision weight function.Finally,the feasibility and effectiveness of the method are verified through analysis of a representative example.

关 键 词：前景理论 区间数 多属性决策 参照点 投影 

分 类 号：O29[理学—应用数学] TP393[理学—数学]