英文摘要 |
In this study, we set out from the meaning of judgment matrixtopoint out that its coefficients are perturbed measurement data of a preference structure, and then point outthat theeigenvector method forjudgment matrix analysis has sometheoretical weakness. In additions, theeigenvector method cannot take the ordering relations of priority weights, found in the practice or from the matrix, into consideration. On contrast, the methods based on statistical regression not only can take these ordering relations into consideration, but also have nice properties in the decision theory. Therefore, analyzing the judgment matrix by using regression is more proper. Moreover, since the judgment matrix is used to represent a preference structure, it can be replaced by a fuzzy relation. Using the cut sets of the associated fuzzy relation, we define the graphical consistency and the graphical consistency constraints of a judgment matrix, then we considerthe solutionmethod andtheoretical properties of the logarithm least square method with graphical consistency constraints. |