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Based on S-rough sets(singular rough sets), t hi s paper presents function S-rough sets (function singular rough sets)and its ma thematical structures and features. Function S-rough sets has two forms: functi on one direction S-rough sets (function one direction singular rough sets) and function two direction S-rough sets (function two direction singular rough sets ). This paper advances the relationship theorem of function S-rough sets and S -rough sets. Function S-rough sets is the general form of S-rough sets, and S -rough sets is the special case of function S-rough sets. In this paper, appli cations of function S-rough sets in rough law mining-discovery of system are g iven. Function S-rough sets is a new research direction of rough sets and rough system.
Based on S-rough sets (singular rough sets), t hi s paper presents function S-rough sets (function singular rough sets) and its ma thematical structures and features. Function S-rough sets has two forms: functi on one direction S -rough sets (function one direction singular rough sets) and function two direction S-rough sets (function two direction singular rough sets). This paper advances the relationship theorem of function S-rough sets and S-rough sets. sets this the general form of S-rough sets, and S-rough sets is the special case of function S-rough sets. In this paper, appli cations of function S-rough sets in rough law mining-discovery of system are given Function S-rough sets is a new research direction of rough sets and rough system.