三角模糊数互补判断矩阵排序的目标规划法

针对决策者以三角模糊数互补判断矩阵形式给出的多目标决策问题.给出三角模糊数加性一致性互补判断矩阵的判定定理.利用该定理基于最小偏差建立一个目标规划模型而解得三角模糊数互补判断矩阵的权重向量,从而使用三角模糊数排序公式对方案排序,提出了基于目标规划的三角模糊数互补判断矩阵排序法.最后,将模型与方法应用于项目投资决策中.

Objective Programming Method for Triangular Fuzzy Number Complementary Judgment Matrix Priority

With regard to the multi-objective decision-making problem,in which the preference information provided by the decision maker takes the form of triangular fuzzy number complementary judgment matrix.Firstly,the judgment theorem of triangular fuzzy number additive consistent complementary judgment matrix is presented.Secondly,an objective programming model based on the least deviation is established by using the theorem and the weighted vector of the triangular fuzzy number complementary judgment matrix is obtained by solving the model.The alternatives are ranked by using a priority formula of triangular fuzzy number.A ranking method based on objective programming for triangular fuzzy number complementary judgment matrix is proposed.Finally,the developed model and method is applied to the decision-making of the item investment.