Grey multiple attribute decision making method based on the minimax regret approach

Abstract

Based on grey system theory, the grey attribute decision-making problem is discussed considdering attribute values are interval grey numbers and the attribute weights are known. Aimed at the severe problems in tokens and computations of grey number, first, the concepts, such as standard interval grey number, the transformation rule from general grey number to the standard interval grey number, and the operation principle of the standard interval grey number are introduced. Second, comprehensive attribute values of each alternative are computed by the operation principle of the standard interval grey number. Finally, for ranking interval grey number, ranking method based on minimax regret approach is proposed. As a result, for this grey decision-making, an algorithm is presented. An example shows the rationality of grey attribute decision-making method and the validity of the algorithms mentioned above.