Grey relational analysis method of linguistic information and its application in group decision

Grey relational analysis based on grey relational degree is a very successful theory and method in grey system theory. On the basis of grey relational four axioms, this paper extends general grey relational degree formula to the case of linguistic term sequence so as to the extention of the application field of grey relational degree. This paper puts forward a method for group multiple attribute decision making problems with linguistic information, in which the preference values take the form of linguistic variables. Then a procedure to group multiple attribute decision making is provided under linguistic environment. Finally, an example of risk investment problem is given to verify the proposed method, and practicality of the proposed method is shown by illustrative example.