Considering the value information of the three-parameter interval grey number and the risk attitude of decision-maker, a multi-attribute group grey target decision-making method based on a three-parameter interval grey number is advanced. Firstly, the nonlinear averaging operators are constructed to reflect the risk attitude of decision-makers. Then, the definition of the relative kernel and distance measure of the three-parameter interval number is given while considering the value characteristics. Next, the positive and negative clouts of the schemes are determined by the size of the grey number's kernel and the degree of accuracy, and two models are constructed based on the principle of maximum relative off-target distance and grey entropy to determine the weights of attributes and decision-makers. And then, the relative off-target distance of positive and negative off-target distance is used to rank and optimize the schemes. Lastly, an example is delivered to illustrate the rationality and feasibility of the proposed method.