二元语义互补判断矩阵的相容性及排序研究

Research on compatibility and ranking of two-tuple linguistic complementary judgment matrix

为了衡量二元语义互补判断矩阵之间的差异程度,对其相容性进行了研究,给出了判断两个二元语义互补判断矩阵是否相容的指标,并提出一种新的排序方法。定义了二元语义的相容度和二元语义互补判断矩阵的相容度,研究了两者的性质,给出了二元语义互补判断矩阵的相容性指标,进而确定专家权重,并结合二元语义的集结算子,得到每一方案优于其他方案的程度并排序。通过实例验证了该方法的有效性和实用性。

In order to measure the diversity of two-tuple linguistic complementary judgment matrix, the compatibility of two-tuple linguistic complementary judgment matrix is researched, the judgment compatibility indicator of two two-tuple linguistic complementary judgment matrix is given, and a new ranking method is proposed. The compatibility degree of two-tuple linguistic and two-tuple linguistic complementary judgment matrix are defined, the properties of both are studied,and the compatibility indicator of two-tuple linguistic complementary judgment matrix is provided. The expert weights are determined based on the indicator. Combined with two-tuple linguistic aggregation operator, the degrees of each scheme superior to other schemes are got, and each scheme is ranked based on the degrees. An example is used to verify the feasibility and practicability of the method.