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Title:

Approximation Quality for Sorting Rules

Authors:

Günther Gediga , Institut für Evaluation und Marktanalysen; Brinkstr.19; D-49143 Jeggen; Germany
Ivo Düntsch , School of Information and Software Engineering , University of Ulster

Status:

submitted

Abstract:

The paper presents a method for computing an approximation quality for sorting rules of type "nominal to nominal" (NN), "nominal to ordinal" (NO), "ordinal to ordinal" (OO), and its generalisation to "(nominal,ordinal) to ordinal" rules (NO-O). We provided a significance test for the overall approximation quality, and a test for partial influence of attributes based on the bootstrap technology.

A competing model - the approach of Greco et al. (1998) is also studied. We show that this method is susceptible to local pertubations in the data set, and dissociated from the treory it claims to support.

Download:

... here ... PDF file (180 KB)

Software:

Programm NOO (a scientific prototype for LINUX and MSWIN9x systems)


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