S-rough sets and F¯-hiding knowledge discovery

Singular rough sets (S-rough sets) have three forms; one direction S-rough sets, dual of one direction S-rough sets and two direction S-rough sets. Dynamic, hereditary, mnemonic properties are the basic characteristics of S-rough sets. By using dual of one direction S-rough sets and its hiding characteristics, the concepts of -hiding knowledge, F¯-hiding knowledge, hiding degree and hiding dependence are given. Then hiding theorem and hiding dependence theorem of hiding knowledge are proposed. Finally, an application of F¯-hiding and F¯-hiding dependence to system state recognition is discussed.