Paper:
Language: English:

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

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

Journal ref: Journal of Advanced Computational Intelligence and Intelligent Informatics, Vol.9, No.5 pp. 514-525, 2005

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.

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