Rough integrals generated by function rough sets and teaching information management-evaluation

The concepts of the lower approximation integral, the upper approximation integral and rough integrals are given on the basis of function rough sets. Based on these concepts, the relation of the lower approximation integrals, the relation of the upper approximation integrals, the relation of rough integrals, and the double median theorem of rough integrals are discussed. Rough integrals have finite contraction characteristic and finite extension characteristic. Application is presented in research of teaching quality dynamic evaluation.