群决策中两类偏好信息——AHP判断矩阵和模糊偏好关系矩阵的一致化方法

Uniform approach to two forms of preference information-AHP judgement matrices and fuzzy preference relation matrices in group decision making

在有限方案的群决策问题中 ,如何统一具有不同形式的偏好信息是一个新的研究课题 .本文针对群决策中决策者给出关于方案的两类偏好信息—— AHP判断矩阵和模糊偏好关系矩阵 ,通过构造转换函数 ,给出关于这两类偏好信息的一致化方法 ,这为进一步研究群决策中不同形式偏好信息的集成方法和方案排序打下了坚实的基础 .

Group decision making problems with different form of preference information are a new research topic. With regard to two forms of preference information(i.e.AHP judgement matrices and fuzzy preference relation matrices)about the alternatives provided by the decision makers, this paper proposes an approach to uniform two kinds of preference in formation by using the transformation functions. The research results of this paper lay a solid foundation for studying the integration of preference information and ranking of alternatives. Finally, a numerical example is given to illustrate the use of the proposed approach.