SOME PROPERTIES ABOUT SMOOTHING, ROUGHEN THE VALUES OF THE INDEX ATTRIBUTE ON THE DECISION BLOCK

Abstract

The report proposed and demonstrated some properties about smoothing, roughen the values of the condition index attribute or decision index attribute on the decision block and on the slice of the decision block. Every time the condition equivalence class or decision equivalence class on the decision block have been smoothed or roughened then they will partial pullulate or pullulate smoothing, roughing the corresponding class on the slice. From the results found of the smoothing, roughening the condition equivalence class or decision equivalence class partial pullulate or pullulate on the slice then the incremental calculation of the support matrices on the slice will be simpler and therefore faster than recalculating these matrices when smoothing, roughing the values of the condition index attribute or decision index attribute.