X U/Q in .NET framework

Encoder Data Matrix ECC200 in .NET framework X U/Q
X U/Q
Scan Data Matrix ECC200 In Visual Studio .NET
Using Barcode Control SDK for VS .NET Control to generate, create, read, scan barcode image in .NET framework applications.
R X
Drawing Data Matrix ECC200 In Visual Studio .NET
Using Barcode printer for .NET Control to generate, create DataMatrix image in VS .NET applications.
where R is also an equivalence relation on U. This function can then be used to calculate dependencies and thus determine -reducts. The dependency function becomes R, (Q) = |POSR, (Q)| |U|
Read DataMatrix In Visual Studio .NET
Using Barcode reader for .NET framework Control to read, scan read, scan image in VS .NET applications.
ROUGH SET BASED APPROACHES TO FEATURE SELECTION
Barcode Printer In VS .NET
Using Barcode creation for .NET framework Control to generate, create bar code image in VS .NET applications.
It can be seen that the QuickReduct algorithm outlined previously can be adapted to incorporate the reduction method built upon VPRS theory. By supplying a suitable value to the algorithm, the -lower approximation, -positive region, and -dependency can replace the traditional calculations. This more approximate nal reduct may be a better generalization when encountering unseen data. Additionally, setting to 0 forces such a method to behave exactly like standard rough set theory. Extended classi cation of reducts in the VPRS approach may be found in [27,28,189]. However, the variable precision approach requires the additional parameter that has to be speci ed from the start. By repeated experimentation, this parameter can be suitably approximated. Nevertheless, problems arise when searching for true reducts as VPRS incorporates an element of imprecision in determining the number of classi able objects.
Barcode Scanner In .NET
Using Barcode reader for .NET framework Control to read, scan read, scan image in Visual Studio .NET applications.
DYNAMIC REDUCTS
Creating ECC200 In Visual C#.NET
Using Barcode generator for Visual Studio .NET Control to generate, create Data Matrix 2d barcode image in .NET framework applications.
Reducts generated from an information system are sensitive to changes in the system. This sensitivity can be seen when removing a randomly chosen set of objects from the original object set. The reducts frequently occurring in random subtables can be considered to be stable; it is these reducts that are encompassed by dynamic reducts [23]. Let A = (U, C d) be a decision table; then any system B = (U , C d) (U U) is called a subtable of A. If F is a family of subtables of A, then DR(A, F) = Red(A, d) {
Generating Data Matrix ECC200 In VS .NET
Using Barcode printer for ASP.NET Control to generate, create ECC200 image in ASP.NET applications.
Red(B, d)}
Paint ECC200 In Visual Basic .NET
Using Barcode generator for Visual Studio .NET Control to generate, create Data Matrix ECC200 image in VS .NET applications.
de nes the set of F-dynamic reducts of A. From this de nition it follows that a relative reduct of A is dynamic if it is also a reduct of all subtables in F. In most cases this is too restrictive, so a more general notion of dynamic reducts is required. By introducing a threshold, 0 1, the concept of (F, )-dynamic reducts can here be de ned: DR (A, F) = {C Red(A, d) : sF (C) } where sF (C) = |{B F : C Red(B, d)}| |F|
Print ANSI/AIM Code 39 In .NET Framework
Using Barcode creator for VS .NET Control to generate, create Code-39 image in VS .NET applications.
is the F-stability coef cient of C. This lessens the previous restriction that a dynamic reduct must appear in every generated subtable. Now a reduct is considered to be dynamic if it appears in a certain proportion of subtables, determined by the value . For example, by setting to 0.5 a reduct is considered to be
Making Bar Code In VS .NET
Using Barcode printer for .NET framework Control to generate, create bar code image in .NET applications.
DYNAMIC REDUCTS
EAN / UCC - 13 Encoder In Visual Studio .NET
Using Barcode creator for Visual Studio .NET Control to generate, create European Article Number 13 image in .NET framework applications.
DYNAMICRED(A, ,its) Input: A, the original decision table; , the dynamic reduct threshold; its, the number of iterations Output: dynamic reducts (1) R {} (2) A calculateAllReducts(A) (3) foreach j = 1...its Aj deleteRandomRows(A) (4) (5) R R calculateAllReducts(Aj ) (6) foreach C A (7) if sF (C, R) then output C
Printing Leitcode In .NET
Using Barcode generation for VS .NET Control to generate, create Leitcode image in VS .NET applications.
Figure 5.9 Dynamic reduct algorithm
Bar Code Maker In .NET
Using Barcode generation for ASP.NET Control to generate, create barcode image in ASP.NET applications.
dynamic if it appears in at least half of the subtables. Note that if F = {A}, then DR(A, F) = Red(A, d). Dynamic reducts may then be calculated according to the algorithm given in Figure 5.9. First, all reducts are calculated for the given information system, A. Then, the new subsystems Aj are generated by randomly deleting one or more rows from A. All reducts are found for each subsystem, and the dynamic reducts are computed using sF (C, R), which denotes the signi cance factor of reduct C within all reducts found, R. Returning to the example decision table (call this A), the rst step is to calculate all its reducts. This produces the set of all reducts A = {{b, d}, {c, d}, {a, b, d}, {a, c, d}, and {b, c, d}}. The reduct {a, b, c, d} is not included as this will always be a reduct of any generated subtable (it is the full set of conditional attributes). The next step randomly deletes a number of rows from the original table A. From this, all reducts are again calculated. For one subtable the result might be R = {{b, d}, {b, c, d}, {a, b, d}}. In this case the subset {c, d} is not a reduct (though it was for the original dataset). If the number of iterations is set to just one, and if is set to a value less than 0.5 (implying that a reduct should appear in half of the total number of discovered reducts), then the reduct {c, d} is deemed not to be a dynamic reduct. Intuitively, the hope in nding stable reducts is they will be more representative of the real world, meaning it is more likely that they will be reducts for unseen data. A comparison of dynamic and nondynamic approaches can be found in [22], where various methods were tested on extracting laws from decision tables. In the experiments the dynamic method and the conventional RS method both performed well. In fact it appears that the RS method has on average a lower error rate of classi cation than the dynamic RS method. A disadvantage of this dynamic approach is that several subjective choices have to be made before the dynamic reducts can be found (e.g., the choice of the value of ); these values are not contained in the data. Also the huge complexity of nding all reducts within subtables forces the use of heuristic techniques such
Data Matrix Encoder In Java
Using Barcode printer for Java Control to generate, create Data Matrix 2d barcode image in Java applications.
Create GS1 - 13 In Visual Basic .NET
Using Barcode drawer for .NET Control to generate, create EAN-13 image in .NET applications.
GTIN - 128 Creator In Visual C#.NET
Using Barcode generator for VS .NET Control to generate, create EAN / UCC - 14 image in .NET applications.
Create Bar Code In Java
Using Barcode creator for Java Control to generate, create barcode image in Java applications.