互补判断矩阵的几何距离最小二乘法

基于最优化思想和点到平面的距离，提出了一种新的互补判断矩阵排序方法，并给出了一个计算排序权重的简洁计算公式，可直接由它求出原Fuzzy矩阵较为理想的排序向量，同时也指出了其他一些排序方法的不足．

The geometric distance priority of the Fuzzy judgment matrix

In this paper, a new method for prioritizing the Fuzzy judgment matrix which is based on the idea of optimization and the distance from the point to the flat surface is presented. The desired priority vector that could be obtained from the given counting formula can be derived from the original Fuzzy judgment matrix directly. This paper also points out the shortcomings of several frequent prioritizing methods for Fuzzy complementary judgment matrix. The obtained weight for raking alternatives fall into the normal range, thus the method is more rational and practical. Finally, a practical example is given to illustrate its feasibility.