Control approach to rough set reduction
Computers & Mathematics with Applications
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Pawlak's rough set theory is the static rough set theory which is to research and deal with static knowledge. This paper proposes the dynamic rough set theory which is to research and deal with dynamic knowledge, and gives the mathematical expression of dynamic rough sets by defining some concepts such as the elementary transfer coefficients, the D-rough sets and the D-approximate sets, etc, based on dynamic knowledge. And in this paper we also study the transfer characteristic of D-rough sets and give some theorems such as the D-rough set degradation theorem, the D- rough set transform theorem and the transfer equilibrium theorem etc. Finally illustrative examples are further discussed. D-rough set is a common form of Pawlak's rough set, as Pawlak's rough set can be considered as a special case of D-rough set.