Abstract

Function singular rough sets (function s- rough sets) is defined by function relation equivalence class [u], Function s-rough sets has law characteristic, and a function is a law. Using function s-rough sets, this paper presents the research of law mining, it also presents the approach and application of law mining. Function S-rough sets is a new theory to discover the unknown law in systems. The result of this paper's research can be applied in many application fields, for example, investment risk analysis, recognition of system status and so on. Function S-rough sets is a new research direction of the rough sets theory.

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