Fuzzy Multi-objective Programming Problem with Fuzzy Structured Element Solution

A class of fuzzy multiple objective programming problem with all fuzzy coefficients is discussed based on the fuzzy structured element method in this paper. By introducing the structured element weighted characteristic number, we define an order relation of fuzzy numbers. Then, we use of this characteristic number, the solving problems of the class of fuzzy multi-objective programming model can be translated into the other solving problems of a class of clear multi-objective programming model. We calculate the quasi-optimal feasible solution of the clear model by the method based on a class of linear weighted function. Finally, a numerical example is given to illustrate how to solve such fuzzy multi-objective programming problem.