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By using one direction S-rough sets (one direction singular rough sets), the f-attribute interference generation and separation of knowledge, and the f-attribute interference generation and separation of one direction S-rough sets were proposed; on these concepts above, the f-attribute interference theorem, the f-attribute interference lose theorem, the f-attribute interference discernibility theorem,...
S-rough sets (singular rough sets) theory was proposed by improving Z.Pawlak rough sets theory. S-rough set has dynamic characteristics, since it is defined by R -element equivalence class[x] which has dynamic characteristic. The concept of rough data was presented by employing S-rough sets, and rough data has dynamic characteristic, furthermore, the rough data law generation is given. Based on the...
Function S-rough sets (function singular rough sets) has function (law) characteristic and dynamic characteristic. Function one direction S-rough sets (function one direction singular rough sets) is one of the three forms of function S-rough sets. By employing function one direction S-rough sets, this paper presents F-decomposition concept of image, F-decomposition theorem of image, F-decomposition...
For dynamic system law mining, according to function two direction S-rough sets, this paper presents the concepts of law generation and F-law relation metric; by using these concepts, this paper proposes characteristic theorem of F-rough law relation metric, dependence theorem of F-rough law relation metric, the principle of F-rough law discovery and gives the application of F-rough law in profit...
Decision rules acquisition is based on attribute reduction, and Skowron??s discernable matrix is one of the most important methods of core finding and reduction. Basing on Skowron??s discernable matrix researching attribute reduction of decision system, this paper puts forward an algorithm for acquisition of decision rules and its application with Skowron??s discernable matrix as a base, and examples...
Function one direction S-rough sets (function one direction singular rough sets) is defined by R-function equivalence class. A function is a curve or a line. Function one direction S-rough sets has curve characteristics and dynamic characteristics. By using function one direction S-rough sets, the concept of image F-interior hiding is presented; the theorem of image F-interior hiding and the recognition...
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