Abstract: By using the binary granular to show discretization attributes in the information system, this paper makes definitions for the binary granular matching, conjunction and disjunction operators, and the binary granular attribute correlation.This paper also discusses how to determine the matrix based on the binary granular attribute correlation, which is the new way to solve attribute reduction and association rules.If the correlation attribute is also the condition attribute, then reduction can be carried on.If there is the decision attribute, strong association rules are formed.This kind of algorithm is tested in the simulation experiment of meteorological data.