Research on grey multi-criteria risk decision-making method

This paper presents a new conception grey multi-criteria risk decision-making,to study risk multi-criteria decision-making problems in which criteria values are interval gray numbers. Combining thoughts and methods of grey system theory with classical risk decision-making method, it studies risk decision-making problem in which criteria weights are completely unknown and criteria values are interval grey numbers, and sets up two algorithms, grey fuzzy relationship method and two-basic-point method. In the former, criteria weights are determined by information entropy, which ensures the algorithms to be fit for objective desire better. In some extent, the later gets rid of the deviation caused by deficient use of known information in decision-making process only based on ideal point or negative ideal point. Thus, decision result will keep closer to practice. An example illustrates the validity and efficiency of two algorithms given.