群决策中模糊偏好信息转化的若干性质研究

研究群体决策中偏好信息转化的一致性和权重变化问题.在一致性方面,得到了不同转化系数转化后的互反判断矩阵次序一致性、完全乘性一致性与互补判断矩阵相同,且一致性比例与转化系数的大小正相关的结论.在权重数值方面,证明了方案优先顺序与转化系数大小无关,但较大转化系数能放大方案之间的差别,而较小系数则缩小方案之间差别的性质.相关结论可为互补判断矩阵的权重求解以及一致性分析提供参考.

Mechanism of fuzzy preference translation in group decision

The preference information translation problem of consistency and weight variation during the group decislon-making process is studied. In the consistency side, the conclusion is obtained that the ordinal consistency and complete multiplicative consistency of the complementary comparison matrix are the same to the reciprocal comparison matrix which is translated from the complementary matrix via the different factor. In addition, the consistency ratio of the reciprocal matrix has the positive correlation with the translation factor. In the weight side, the alternative sequence is independent of the translation factor. Furthermore, the bigger value of the translation factor can magnify the alternative weight difference, while the smaller value can reduce the difference. The conclusions are avail to the consistency and weight approach analysis of the comparison matrix.