Fuzzy Rough Set Under The Condition Of Fuzzy Pre-order Relation

The theory of rough sets is a mathematical tool for describing incomplete and uncertain information. It can effectively analyze and deal with imprecise, incomplete and inconsistent data, discover the underlying knowledge, and reveal the potential rules. The dissertation is just based on the fusion of fuzzy set and rough set. The fuzzy rough set under the condition of pre-order relation and fuzzy pre-order relation are first brought forward. In the dissertation, some basic properties of the upper and the lower approximation are discussed. Furthermore, the cut set and approximation accuracy degree of the fuzzy rough set is defined and a corresponding example is given.