Research on the comprehensive objective determining weights in the multiple objective decision making based on the grey relation

An important step of multiple objective decision making is determining weights. At present, there are a lot of methods for determining weights, but they may be divided into two kinds: subjective determining weights and objective determining weights. This paper emphasizes the latter, but different methods result in different answers. So in this paper a new comprehensive method for objective determining weights is put forward, and an example is shown.