计算机工程与应用Issue(18)：120-124,5.DOI:10.3778/j.issn.1002-8331.1201-0094
基于前景和量子理论的模糊多属性决策方法
Fuzzy multiple attribute decision making method based on prospect and quantum theory
摘要
Abstract
This paper presents a multi-attribute sorting method applied to problem whose information on weights is partly known and attribute values are interval intuitionistic fuzzy numbers. The method is based on prospect theory and quantum evolu-tion algorithm. According to prospect theory and fuzzy numbers’distance formula, it defines interval intuitionistic fuzzy numbers’ prospect value function. Meanwhile, it brings decision makers’risk preference of project into decision-making behavior. The nonlinear programming model based on projects’comprehensive prospect value maximization can be constructed. By putting quantum evolution algorthm, the optimal weight vector of model can be solved. The projects’comprehensive prospect values deter-mine the order. This method is applied to fuzzy decision making environment, can meet decision makers who do not provide deter-mining attribute weights, and fully consider risk psychological factor’s influence on decision behavior. Thus it has wide range of application value. At the end, a numerical example shows the effectiveness and feasibility of the method.关键词
前景理论/量子进化算法/区间直觉模糊数/多属性决策Key words
prospect theory/quantum evolution algorithm/interval intuitionistic fuzzy number/multi-attribute decision-making分类
数理科学引用本文复制引用
胡柏瑛,黄德才,陆亿红..基于前景和量子理论的模糊多属性决策方法[J].计算机工程与应用,2013,(18):120-124,5.基金项目
国家科技重大专项专题（No.2009ZX07318-003-01）；浙江省科技厅重大科技项目（No.2009C11024）。 （）
