区间数互补判断矩阵的拓扑排序方法

提出了方案之间进行比较时优于与劣于的定义,通过构造与区间数互补判断矩阵相对应的有向图的方法,将互补判断矩阵的排序问题转化为有向图中顶点的拓扑排序问题,将有向图中的顶点按照备选方案的重要性顺序输出,得到的顶点的序列即为备选方案的重要性排序,数值计算实例验证了该方法的有效性与可行性。

Topological Sorting Method of Interval Number Complementary Judgment Matrix

The concepts of superiority and inferiority are introduced. By constructing a directed graph corresponding with the interval number complementary judgment matrix, the ranking problem of interval number complementary judgment matrix is transformed into the problem of topological sorting of the directed graph. The method of exporting the nodes in the directed graph according to the importance sequence of the alternatives is given. The sequence of the nodes is corresponding to the importance order of the alternatives. The numerical example is presented to demonstrate the effectiveness and feasibility of the technique.