摘要
针对属性值以区间数形式给出的不确定性多属性决策中确定属性权重的问题,提出了一种区间数熵权的确定方法·依据多属性决策中传统熵权确定方法的思路,首先,通过构建两个最优化模型,求得区间熵;然后根据传统熵权确定公式及区间数运算法则得到以区间数形式表示的属性熵权·该方法具有概念清晰、实用的特点,得出的属性熵权能够较好地反映各属性信息的差异程度·最后通过一个算例说明了该方法的实用性和有效性·
With regard to the problem of determining attribute weights in uncertain multiple attribute decision making, in which the attribute values are in form of interval number, a new method is proposed to determine interval entropy weights. According to the traditional concept of entropy weights, two optimization models are constructed first to obtain interval entropies. Then the interval entropy weights are obtained on the basis of traditional formula of entropy weights and the algorithm of interval numbers. The method has a clear concept and feasibility by which the given attribute entropy weights can reveal well the level of deviation of attribute information. A numerical example is given to show the feasibility and effectiveness of the proposed method.
基金
国家自然科学基金资助项目(70071004)
教育部高等学校优秀青年教师教学科研奖励计划资助项目(教人司[2002]123)
关键词
不确定性
多属性决策
属性权重
熵权
区间数
决策矩阵
区间熵
multiple attribute decision making
interval number
decision matrix
entropy
entropy weight
attribute weight
