模糊残缺判断矩阵的修补

模糊判断矩阵是决策者在决策中所提供的一种重要的偏好信息,然而专家所给出的判断矩阵可能是带有残缺的.给出了模糊残缺判断矩阵中残存元素的极大一致独立组、残存元素组导出图、残缺矩阵的可接受性概念,并讨论了模糊残缺判断矩阵的极大一致独立组的导出图是树的条件,进而说明n阶模糊残缺矩阵中n-1个元素所导出的图是n阶树的话,模糊残缺判断矩阵即为可接受的.最后给出了一个可接受的残缺判断矩阵修补的算例.

The Patching of the Fuzzy Incomplete Judgment Matrix

Fuzzy judgment matrix is the important preference information provided by a decision-maker in their practice.However a judgment matrix given by some experts may be incomplete.In this paper,the concepts of maximum consistent independence groups of the remaining elements,a graph drawn from the group remaining elements,and the acceptability of fuzzy incomplete judgment matrix in fuzzy judgment matrix are defined.Meanwhile,it further exploits the conditions in which the maximum consistent independent group is served as a tree and,thus,if the graph from the n-1 element of the n-th fuzzy incomplete judgment matrix is n-th tree,the fuzzy incomplete judgment matrix can be accepted.In the end,an illustrative example of repairs at acceptable incomplete judgment matrix is given.