Abstract: Aiming at the multiple attribute decision making of the interval rough numbers with parameters, firstly, the paper defines the mean and variance of interval rough numbers with parameters, then based on the degree of dominance about interval rough numbers with parameter in mean and variance, it finds the positive and negative ideal point. Secondly, it proposes deviation degrees of interval rough numbers with parameters in an integral form. By means of the concept of the rough existing weighted interval distance averaging operator（WIRDAA）, it also builds the entropy method based on the MADM of the interval rough numbers with parameters to get the final order. Finally it applies an example to illustrate the feasibility of the method.

Key words: interval rough numbers, multiple attribute decision making, deviation degrees, entropy method

摘要： 针对带参数的区间粗糙数型多属性决策问题，首先定义了带参数的区间粗糙数的期望和方差，以期望值和方差集结函数的优劣度得到正负理想点，然后提出了一种积分形式的带参数型的区间粗糙数新的相离度，并根据已有的加权区间粗糙的距离平均算子（WIRDAA）概念，构建含参数的区间粗糙数型MADM的熵值法模型得到最终排序，最后以一个实例说明该方法的可行性。

关键词: 区间粗糙数, 多属性决策, 相离度, 熵值法