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Z.Pawlak rough set theory proposed in 1982, is a processing incomplete and uncertain information mathematical tools can effectively analyze and deal with imprecise , inconsistent , incomplete incomplete information and discover hidden including knowledge , reveal the potential of the law , its main idea is the same premise maintain the classification ability , knowledge reduction , export problems in decision - making or classification rules , making it in pattern recognition, machine learning , data mining and other fields wide range of applications . applications rough set theory to solve these problems , the most mature practical measures can be summarized as follows: rule Extraction ; Z - rough set is a collection of static characteristics X rough sets , so its scope of application is very limited , rough set theory caught in a bottleneck in the application , an urgent need for the emergence of new theories, new methods , especially for the turmoil in the financial system , investment system , intelligent systems, changing target identification - analysis system , dynamic data mining , dynamic knowledge discovery the difficulties experienced by .2002 the Shandong University of Professor Shi Kaiquan of proposed S-rough set theory , rough set theory from a static extended to dynamic , proposed the idea of law mining , S - rough sets based on Z - Pawlak coarse set theory , Z - Pawlak rough set theory extension and extension of this paper on the discussion of the S-rough sets , the function S-rough sets , changing financial system , venture capital system , the system state identification , fault diagnosis law recognition system system system , system state law generation and mining law , the law found in the new study provides theoretical support and new research ideas . in this paper, the S-rough sets , the function S-rough sets structure and application for further explore the dynamic system law gives the mining method , spline interpolation function to find the dynamic law ; given S-rough sets hierarchical network data mining , medical diagnostic systems , earthquake prediction system in the application ; addition , the output of the nonlinear system feedback to do , given the limited time of a class of nonlinear systems stability and a stable output tracking .
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