中文摘要：

定义了区间粗糙数互补判断矩阵和正态分布区间粗糙数,并给出区间粗糙数互补和互反判断矩阵的相互转化公式.针对基于区间粗糙数互补判断矩阵的排序问题,提出了一种基于可能度的区间粗糙数互补判断矩阵的排序方法.通过对方案进行两两比较,构造区间粗糙数互补判断矩阵,求解出形式为区间粗糙数的权重向量,利用可能度公式得到权重向量的可能度矩阵,从而得到各方案的排序.实例分析说明了该方法的实用性和有效性.

英文摘要：

The definitions of interval rough number complementary judgement matrix and distribution interval rough number are given,and the mutual transformation formula between interval rough number complementary judgement matrix and interval rough number reciprocal judgement matrix is set up as well. For the priority problem based on interval rough number complementary judgment matrix,a ranking method of interval rough number complementary judgement matrix based on possibility degrees is proposed. Interval rough number complementary judgement matrix is constructed by pair comparison. Then,the weight vectors with forming of interval rough number are worked out. By using the formula of possibility degrees,the possibility degree matrix of weight vector is established,and according to the ordering formula,and the ranking of alternatives is obtained. Finally,a numerical example is given to show the effectiveness and feasibility of this approach.