Stability Issues with Classifier Using Lukasiewicz Similarity and Modified Schweizer & Sklar Equations

Pasi Luukka, and Jouni Sampo

Laboratory of Applied Mathematics, Lappeenranta University of Technology P.O. Box 20, FIN-53851 Lappeenranta, Finland

Received:

October 19, 2004

Accepted:

June 5, 2005

Published:

September 20, 2005

Keywords:

similarity measure, Schweizer & Sklar's implications, classification, generalized mean

Abstract

In this article we have tested the stability of a classifier based on Lukasiewicz similarity in the generalized Lukasiewicz structure. We have also tested Schweizer & Sklar's implications with an extension to generalized mean to classification task. We will show that classification results are not so sensitive to p values with Schweizer & Sklar's measures, which indicates a generalized form of equations. In this article we have also tested the stability of these measures. Two different tests for stability were made: In one test the stability was checked with respect to weight parameters and the other test was carried out for idealvectors. The tests were done with five different classification problems.

Cite this article as:

P. Luukka and J. Sampo, “Stability Issues with Classifier Using Lukasiewicz Similarity and Modified Schweizer & Sklar Equations,” J. Adv. Comput. Intell. Intell. Inform., Vol.9 No.5, pp. 514-525, 2005.

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