群决策中两类区间数判断矩阵的集结方法研究

Research on Aggregation Approach of Two Kinds of Interval Judgment Matrices in Group Decision Making

研究群决策中区间数AHP判断矩阵和区间数Fuzzy判断矩阵的集结问题。基于多个决策者给出的区间数AHP判断矩阵和区间数Fuzzy判断矩阵,建立了集成各决策者偏好信息的二次规划模型,通过求解该模型可以得到各备选方案的排序权重。最后的算例分析表明了该方法的有效性。

A group decision making is studied,in which the preference information about alternatives provided by the decision makers is of two different formats,namely the interval AHP judgment matrices and fuzzy judgment matrices.A quadratic programming model is constructed to integrate the different formats of preference information provided by the decision makers.By solving the model,the ranking weights of alternatives can be obtained.At last,the effectiveness of the new method is illustrated by a numerical example.