Using S-rough sets, this paper gives the concepts of f-heredity knowledge and its heredity coefficient, and f-variation coefficient of knowledge; presents the theorem of f-attribute dependence of variation coefficient and the relation theorem of heredity-variation. The attribute dependence of f-variation coefficient and the relation of heredity-variation are important characteristics of S-rough sets. From such discussion, this paper puts forward the heredity mining of  f-knowledge and the algorithm of heredity mining, also gives its relative application.

S-rough sets,  f-heredity knowledge,  f-variation coefficient, the theorem of f-attribute dependence of variation coefficient, the relation theorem of heredity-variation, algorithm of f-heredity mining, application.