The study of connection numbers and smooth curve apply in international scientific and technological cooperation.

In order to better show the status of China in international scientific and technological cooperation, the paper reference connection number in set pair analysis, and make the connection number corresponding to improvement. From the connection number matrix it can be drawn with that Japan and the U.S. emphasized on academic cooperation, but Germany was dominated by non-academic factors. When predictive and analyze scientific and technological cooperation, we use the Bernstein basis as the predictive curve fitting basis, and the fitting out Bezier curve is not dependent on the trend of data, so it more universal than regression curve predicted. Since data errors exist, the fitting curve corrected to a smooth curve by using the geometric method and the smooth curve makes the curve avoid wiggling. As we use the number of SCI papers that China was first author during China-US cooperation as the fit data, the Bezier curve fitting can be a good reflection the trend of cooperation papers and it can also predict the number of future cooperation. [ABSTRACT FROM PUBLISHER]