关键词: 相容性, 二元语义, 互补判断矩阵, 排序

Abstract: 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.

Key words: compatibility, two-tuple linguistic, complementary judgment matrix, ranking