<abstract xmlns="http://www.w3.org/1999/xhtml"><p> We introduce a new n-ary λ similarity classifier that is based on a new n-ary λ-averaging operator in the aggregation of similarities. This work is a natural extension of earlier research on similarity based classification in which aggregation is commonly performed by using the OWA-operator. So far λ-averaging has been used only in binary aggregation. Here the λ-averaging operator is extended to the n-ary aggregation case by using t-norms and t-conorms. We examine four different n-ary norms and test the new similarity classifier with five medical data sets. The new method seems to perform well when compared with the similarity classifier.</p></abstract>

We introduce a new n-ary λ similarity classifier that is based on a new n-ary λ-averaging operator in the aggregation of similarities. This work is a natural extension of earlier research on similarity based classification in which aggregation is commonly performed by using the OWA-operator. So far λ-averaging has been used only in binary aggregation. Here the λ-averaging operator is extended to the n-ary aggregation case by using t-norms and t-conorms. We examine four different n-ary norms and test the new similarity classifier with five medical data sets. The new method seems to perform well when compared with the similarity classifier.

An ɴ-ary λ-averaging based similarity classifier

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

Department of Mathematics Makerere University, P.O. Box 7062, Kampala, Uganda

School of Business and Management Lappeenranta University of Technology, P.O. Box 20, FIN-53851 Lappeenranta, Finland

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"An ɴ-ary λ-averaging based similarity classifier"}

We introduce a new n-ary λ similarity classifier that is based on a new n-ary λ-averaging operator in the aggregation of similarities. This work is a natural...

An ɴ-ary λ-averaging based similarity classifier

Publié en ligne: 02 juil. 2016

Pages: 407 - 421

Reçu: 01 sept. 2015

Accepté: 19 févr. 2016

DOI: https://doi.org/10.1515/amcs-2016-0029

Mots clés
similarity classifier with λ-averaging, n-ary λ-averaging operator, n-ary t-norm, n-ary t-conorm, classification

© by Onesfole Kurama

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

An ɴ-ary λ-averaging based similarity classifier

Publié en ligne: 02 juil. 2016

Pages: 407 - 421

Reçu: 01 sept. 2015

Accepté: 19 févr. 2016

DOI: https://doi.org/10.1515/amcs-2016-0029

Mots cléssimilarity classifier with λ-averaging, n-ary λ-averaging operator, n-ary t-norm, n-ary t-conorm, classification

© by Onesfole Kurama

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Mots clés
similarity classifier with λ-averaging, n-ary λ-averaging operator, n-ary t-norm, n-ary t-conorm, classification