According to the theory of grey target contribution degree

a method of solving weights is proposed with the formula of solving weights derived.First

the contributing degree of indices and their mean can be solved by means of the theory of contribution degree;secondly

the deviation of weights from the mean of these weights is determined according to the deviation of contributing degree of indices from the mean of contributing degree.Based on this

the formula of solving weights can be derived.In a practical case

the solved weights are compared with those determined by the conventional method.The rationality and utility of the new method have been analyzed and verified.It has been verified that the received results by the same formula with the new weights can be raised in 15.5%.