Study on the multi-attribute decision model of grey target based on interval numbers

There exists uncertain in almost problems of our practices and the uncertain hold back decision-maker cannot accurately define indices values when they evaluate the system. For this problem, present decision-maker often defines an interval number to denote this index value, but none has studied the interval number decision model in grey target decision. In this paper, the distance of the interval number, m dimension interval number and their characteristics are defined firstly, and the distance of interval number generalizes the distance of real number is proved, then, the method to normalize the interval number is developed. Based on the above, the multi-attribute decision model of grey target based on interval number is derived, which extends the grey target decision model from real number sequence to interval number sequence and riches the grey theories in grey target decision. Last, the validity and practicability are illustrated with an example.