An improved generation algorithm for fractal patterns based on fuzzy stochastic iterated system

The general concept of an iterated function system is introduced and fuzzy theory is drawn into the iterated function system when the probability relative to each affine transformation is chosen, therefore the fuzzy probability is put forward as well as an improved generation algorithm of fractal patterns based on a fuzzy stochastic iterated function system. The algorithm adjusts the probability distribution of each affine transformation in the iterated function system by a fuzzy adjusting factor, thus it better controls the shape and density of the patterns of fractal attractors, and this has been well tested and verified by examples.