模糊互补判断矩阵的排序方法研究

指出了模糊互补判断矩阵的一种常用排序方法的不足 ,提出了模糊互补判断矩阵排序的一种新方法 ,并研究了该法所具有的一些优良性质。该法不仅能充分利用模糊一致性判断矩阵的优良特性及其判断信息 ,而且可以直接由原模糊互补判断矩阵求出较为理想的排序向量 ,所需计算量较小。所得方案排序权重属于正常范围 ,因而更为合理、实用。最后进行了算例分析。

Study on the Prioritizing Method for Fuzzy Complementary Judgement Matrices

In this paper the shortcomings of a well known prioritizing method for fuzzy complementary judgement matrices are pointed out, and a nwe method for prioritizing the fuzzy complementary judgement matrices is presented. Some desirable properties of the developed method are studied. The method can not only utilize the characteristics of fuzzy consistent complementary judgement matrix and its judgement information, but also derive the desired priority vector from the original fuzzy complementary judgement matrix directly, and needs less time for obtaining the priority vector. The obtained weights for ranking alternatives fall into the normal range, and thus the developed method is more rational and practical. Finally, an example is also given.;