Decomposition and reduction of S-rough sets
Cui Yu-quan · Systems engineering and electronics · 2005
By using S-rough set(singular rough set)and its two forms: one-direction singular rough set and two-direction singular rough set, the decomposition class and reduction class of equivalence class and conception of decomposition base and reduction base are given. The decomposition theorem, reduction theorem, decomposition - reduction theorem, maximum attribute set theorem, minimum attribute set theorem and attribute safety principle are put forward. Decomposition and reduction of S-rough sets is the theoretical basis of rough inference in the rough system. S-rough set is a new direction in the research on the theory and application of rough sets and rough system.