Abstract—We construct four kinds of new strengthening buffer operators by using inverse function theorem based on the axiom system of buffer operator. And demonstrate the GuanShi strengthening buffer operator which we compare with is a special case of our new operators. After studying the inner link and characteristics between the GuanShi and our new buffer operators, we greatly develop the application scope of strengthening buffer operator. This paper researches on buffer operators’ construction with functions and gives a new direction for construction of buffer operators.

Index Terms—Strengthening buffer operator, grey system, monotone increasing function.

The authors are with School of Science, Communication University of China, Beijing 100024, China (e-mail: huxiaoli@cuc.edu.cn, wuzhengpeng@126.com, hanran@cuc.edu.cn).

Cite: Hu Xiao-Li, Wu Zheng-Peng, and Han Ran, "Analysis on the Strengthening Buffer Operator Based on the Strictly Monotone Function," International Journal of Applied Physics and Mathematics  vol. 3, no. 2, pp. 132-136, 2013.