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To study the fuzzy and grey information in the problems of multi-attribute group decision making, the basic concepts of both fuzzy grey numbers and grey interval numbers are given firstly, then a new model of fuzzy grey multi-attribute group decision making based on the theories of fuzzy mathematics and grey system is presented. Furthermore, the grey interval relative degree and deviation degree is defined, and both the optimistic algorithm of the grey interval relational degree and the algorithm of deviation degree minimization for solving this new model are also given. Finally, a decision making example to demonstrate the feasibility and rationality of this new method is given, and the results by using these two algorithms are uniform.
To study the fuzzy and gray information in the problems of multi-attribute group decision making, the basic concepts of both fuzzy gray numbers and gray interval numbers are given first, then a new model of fuzzy gray multi-attribute group decision making based on the theories of fuzzy mathematics and gray system is presented. Furthermore, the gray interval relative degree and deviation degree is defined, and both the optimistic algorithm of the gray interval relational degree and the algorithm of deviation degree minimization for solving this new model are also given. Finally, a decision making example to demonstrate the feasibility and rationality of this new method is given, and the results by using these two algorithms are uniform.