International Journal of applied mathematics and computer science

online read us now

Paper details

Number 2 - June 2016
Volume 26 - 2016

An n-ary λ-averaging based similarity classifier

Onesfole Kurama, Pasi Luukka, Mikael Collan

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.

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

DOI
10.1515/amcs-2016-0029