控制理论与应用2016，Vol.33Issue(9)：1214-1224,11.DOI:10.7641/CTA.2016.50910
三参数区间数多属性决策的后悔理论方法
Regret theory approach to multiple attribute decision making with three-parameter interval number
摘要
Abstract
A kind of regret theory approach is developed for multiple attribute decision making with three-parameter in-terval number. Firstly, three-parameter interval number is converted into two-parameter interval number before comparison between two three-parameter interval numbers for avoiding loss of uncertain information. Secondly, regret-rejoice value and overall perceived utility value of alternatives are obtained by the utility value of each attribute for alternatives and the positive ideal alternative according to the decision information with two-parameter interval number under different states. Thirdly, if the scope of attribute weights is known,the attribute weights are achieved by constructing a programming model which satisfies the maximum overall perceived utility values of alternatives;if weight information is completely unknown,the attribute weights are got by water-filling theory. Finally overall utility values of alternatives are calculated with weighted sum method, therefore, a ranking of alternatives can be determined by comparison of overall utility value of alternatives.关键词
决策/多属性决策/三参数区间数/后悔理论/注水原理Key words
decision making/multiple attribute decision making/three-parameter interval number/regret theory/water-filling theory分类
自科综合引用本文复制引用
陈志旺,王小飞,邵玉杰,张子振,李国强..三参数区间数多属性决策的后悔理论方法[J].控制理论与应用,2016,33(9):1214-1224,11.基金项目
国家自然科学基金项目(61403331,61573305),河北省自然科学基金青年基金项目(F2014203099),燕山大学青年教师自主研究计划课题(13LGA006)资助 （61403331,61573305）
