The h-index, also called as Hirsch-index, is a new tool for measuring research outputs by citations. This h-index is not only easy to calculate, but also robust enough to handle various citation data. After its suggestion by Hirsch in 2005, many researchers applied the h-index to their own areas, and some others tried to improve the weak points of the h- index such as low discriminating power. Firstly, several of these efforts are reviewed in the present article, and then novel indexes are suggested to measure research outputs by citations more fairly and reasonably. Calculating these indexes on both artificial data and real data showed that the newly suggested indexes in this article can replace the h-index and its variants.