不确定数互补模糊偏好关系与不确定数互补判断矩阵

研究不确定数(区间数,三角模糊数和梯形模糊数)互补矩阵的一致性.建立表示矩阵的概念,将不确定数互补判断矩阵和专家给出的两两比较信息联系起来,表示矩阵即常用的互补判断矩阵.在给出一致性表示矩阵的诸多性质的基础上,给出了求一致性表示矩阵的方法.给出的不确定数互补判断矩阵的一致性定义、一致性表示等概念,包含了精确数互补判断矩阵的情形,所给出的性质也完全适合精确数互补判断矩阵的情形,并给出一个应用算例.

Uncertain Number Reciprocal Fuzzy Preference Relations and Uncertain Number Complementary Judgment Matrix

The consistency of the uncertain number(interval number,triangular fuzzy number and trapezoidal fuzzy number) complementary judgment matrix is studied.The concept of the describing matrix is introduced which associates the uncertain number complementary judgment matrix with the preference information given by experts.The describing matrix is usually named complementary judgment matrix.After giving the properties of consistently describing matrix,the paper proposes methods for obtaining consistently describing matrix of uncertain number complementary judgment matrix which can be consistently described.These concepts and methods keep practicable when it is to crisp number complementary judgment matrix.Finally,an illustrative example is given.