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研究具有严格偏好关系的梯形模糊互反判断矩阵满意一致性的判定及其修正方法.首先,将梯形模糊互反判断矩阵转化为判断矩阵和排列矩阵;然后,根据梯形模糊互反判断矩阵的排列矩阵来判定是否具有满意一致性;基于梯形模糊数的类质心,给出将排列矩阵转化成上三角矩阵的方法,从而实现方案的排序;最后,通过项目评估问题验证了所提出方法的实用性.
This paper studies the judgment of the consistency of the trapezoidal fuzzy reciprocal judgment matrix with strict preference relationship and its modification method.Firstly, the trapezoidal fuzzy reciprocal judgment matrix is transformed into the judgment matrix and the permutation matrix. Then, according to the arrangement of trapezoid fuzzy reciprocal judgment matrix Matrix to determine whether there is satisfactory consistency; based on the trapezoidal fuzzy class-like centroids, a method of transforming the permutation matrix into an upper triangular matrix is given, so as to achieve the ranking of the schemes; finally, the practicality of the proposed method is verified through project evaluation .