摘要
针对属性权重未知的多属性决策问题,指出决策对象与理想对象之间的优势度与其属性值的概率测度及属性值大小之间有等价关系;借鉴博弈决策中的极大极小算法,提出用属性值的优势关系确定属性权重,并利用优势关系对决策对象进行排序并择优;最后,对属性值为区间数的多属性决策实例进行了分析,同时将该算法与离差最大化算法的异同点进行了对比,表明了算法的有效性.
For the unsure attribute weights problem of multiple attribute decision,the paper proposes the superiority index relationship between the decision-making object and the ideal object has the relation of equivalence with the probability measure of attribute value. According to minimal and maximal rules,this paper propose the measurement of attribute value based on superiority index relationship. Then following the superiority index relationship between each decision making object and overall object,the information weights are ranked and picked over. Finally,the probabilistic multi-attribute decision making problem of using attribute value as interval number is analyzed. At the same time,the characters between maximizing deviations and the algorithm proposed are compared,which shows the effectiveness of the algorithm.
出处
《控制与决策》
EI
CSCD
北大核心
2010年第7期1079-1083,1087,共6页
Control and Decision
基金
国家自然科学基金项目(70701017)
国家社科重点基金项目(08AJY024)
关键词
多属性决策问题
属性权重
理想点
概率优势度
离差最大化算法
Multiple-attribute decision making problems
The attribute weights
The ideal point
Probability superiority index
Maximizing deviations algorithm
