A dynamic three-dimensional correlation space model for multi-attribute decision problems

Based on the grey correlation analysis theory, this paper puts forward a grey dynamic three-dimensional correlation space analysis method for multi-attribute decision problems. Firstly, this paper constructs a grey three-dimensional correlation space, which contains a time-axis and different time sections corresponding to the projection surfaces of objects´ properties. Points in the time sections represent research objects, and their positions are determined by the objects´ attribute values in different investigation periods. Secondly, based on the grey three-dimensional correlation space, we build a new grey correlation degree algorithm for dynamic multi-attribute decision problems. This correlation degree algorithm considers the difference between research objects as well as the fluctuations of their own attribute values, and provides a new method the grey decision theory. Lastly, an example of industrial development verifies the validity and practicability of our model and its algorithm.