Abstract: Grey system based experts evaluation method of weighting coefficient is put forward. A new optimization strategy based on grey difference degree is given subsequently, which is used to solve multi-objective optimization design.Using grey difference degree, multi-objective optimization design can be converted to single objective optimization. Take the pumping unit multi-objective optimization design as example, the count steps of the proposed approach is given in details.The successful application in pumping unit multi-objective optimization design shows that the grey difference degree based strategy is effective. It can be used to solve non-smooth and strange functional multi-objective optimization design.

Key words: Experts evaluation method of weighting coefficient, Grey difference degree Pumping unit, Multi-objective optimization design