Multi-objective decision model of grey situation based on interval number

Based on the interval distance and grey entropy analysis,this paper makes the grey situation decision expand to the decision-making information which takes the form of interval numbers.The optimization method of objective weights of grey situation decision is proposed,which takes the proximity of effect measure and desired effect value in situations, and the uncertainty of objective weight into account.A multi-objective optimization model is established,the Lagrange multiplier method model is used,and then the expression of objective weight of grey situation decision is obtained.Sorting the situation of everything by using possibility of interval number,this paper improves the theory of the traditional grey situation decision further.Finally,an example shows the effectiveness and practicability of the model.