Priority method of fuzzy complementary judgment matrix for grey multiple attribute decision-making

Based on grey system theory,the grey multiple attribute decision-making problem is discussed,in which the attribute values are interval grey numbers and the decision-making method for this grey decision-making is presented.Firstly,according to essentials of interval grey number,a new definition of deviation degree between two interval grey numbers is given,and the incidence degree coefficient formula and the relative incidence degree coefficient formula based on deviation degree for interval grey numbers are constructed by using analytical technique.Secondly,the concepts and formulas for predominance strength and predominance comparative matrix between alternatives are introduced,the predominance comparative matrix is proven to be a fuzzy complementary judgment matrix,and the alternative is ranked according to the priority method of fuzzy complementary judgment matrix.An example shows the rationality of grey decision-making approach and the validity of the algorithms mentioned above.