According to the grey decision problem with the attribute's values of interval grey numbers and the attributes of weights that are partially known, a decision method of grey comprehensive closed to degree based on the kernel and the greyness degree of the interval grey numbers is proposed. Firstly, by defining the discrete and close degree of the interval grey number, the paper constructs a multi-objective optimization model and calculates the weight of each index. Then, by using the simplified form of the proposed interval grey number, the correlation degree of kernel and greyness between the scheme and the positive and negative ideal schemes is derived, the comprehensive correlation degree of the scheme is calculated. Finally, the model with gray comprehensive correlation and relative close degree is built, and the scheme is sorted according to the size of the comprehensive correlation degree. An example is given to illustrate the rationality and feasibility of the proposed method.