摘要
针对属性值以模糊变量形式给出的特点,运用2004年基础数学领域完成的研究模糊现象数量规律的一个新的数学分支——可信性理论的原理,提出了基于可信性测度的模糊变量的熵的权重求解公式,结合模糊变量之间的距离,构造了属性值与理想点之间距离的加权算术平均算子,并以其算子的计算值的大小获得最优方案和排序的一种模糊熵权的多属性决策模型.结合一实例进行分析和计算,显示该模型较为贴近实际,体现了模型的正确性.
In view of fuzzy variable attribute,Credibility Theory,the newest branch of basic mathematics founded in 2004about fuzzy variable,was applied.Two tasks were accomplished：（1）A new fuzzy entropy weight formula was put forward based on credibility measure.（2）A multi-attribute decision making（MADM） model based on fuzzy entropy weight was established by constructing weighting average arithmetic operators of distance between attributes and the ideal point based on the distance between fuzzy variables.In the end,an instance was cited,its analysis and calculation showed that the model is reality,that indicated the model is good.
出处
《大学数学》
2010年第5期74-78,共5页
College Mathematics
