一种新的梯形模糊数互补判断矩阵的排序方法

A New Approach for Priorities Trapezoidal Fuzzy Number Reciprocal Judgement Matrix

研究了决策信息以梯形模糊数互补判断矩阵形式给出的有限方案决策问题。首先利用COWA算子,引入期望值函数概念对梯形模糊数来排序,排序结果可以根据决策者的乐观程度进行调节,更加合理。然后基于期望值函数,把梯形模糊数互补判断矩阵转化期望值互补判断矩阵进行排序,并利用决策者的乐观程度对排序结果进行敏感性分析。最后通过算例说明了该方法的可行性和有效性。

This paper deals with the decision problem where the preference information is given as the form of trapezoidal fuzzy number reciprocal judgement matrix.Firstly,by utilizing the continuous interval argument OWA（COWA） operator,we introduce the expected value function concept of trapezoidal fuzzy number for ranking order,which is adjusted according to decision-maker＇s optimistic degree and more reasonable.Secondly,the trapezoidal fuzzy number complementary judgment matrix is transformed into the expected value complementary judgment matrix for deriving the priorities of alternatives.Then,the method to make sensitivity analysis for the results by decision-maker＇s optimistic degree is proposed.Finally,a numerical example is given to show the feasibility and effectiveness of the developed method.