Simplified computation for a kind of improved generalized absolute grey relational grade

Cao Ming-xia and Dang Yao-guo et al proposed an improved generalized absolute grey relational grade to measure the similarity between two sequences based on the area of the plane region enclosed by two polygonal lines. This algorithm needs to compute the equations of straight lines and intersection points of straight lines and integrals. And the computation process is time-consuming. In order to improve the computation efficiency, properties of parallel straight lines and similar triangles are employed to generate a new approach to compute the area directly by using the original values of sequences, which needn't to compute the intersection points and simplifies Cao and Dang's computation.