The definition of semi-product of fractal is first put forward for the research of mutual relations between original fractal and its product of fractal when the transforms of IFS are incomplete.

• 提出了分形半乘积的定义，用来研究不完全IFS乘积变换时，原分形与乘积分形之间的相互关系以及IFS变换对分形维数的影响。