Probabilistic rough set model based on dominance relation

Abstract

Unlike Pawlak rough set, probabilistic rough set models allow a tolerance inaccuracy in lower and upper approximations. Dominance relation cannot establish probability measure space for the universe. In this paper, the basic set assignment function, namely partition function is introduced into our work, which can transform the non-probability measure generated by dominance relation into a probability measure space. The probabilistic rough set model is established based on dominance relation, and explained clearly through an example.