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.