WEIGHTED MEANS BASED ON TRIANGULAR CONORMS

Author:

CALVO TOMASA1,MESIAR RADKO23

Affiliation:

1. Department of Computer Science, University of Alcalá, Crta. Barcelona, sn., 28871 Alcalá de Henares, Spain

2. Department of Mathematics, Slovak Technical University, Radlinského 11, 81368 - Bratislava, Slovak Republic

3. Systems Research Institute, PAN, u., Newelska 6, 01-447 Warszawa, Poland

Abstract

Generalizing the construction of weighted quasi–arithmetic means from generated t–conorms, we propose a new class of weighted means related to continuous t–conorms. By duality, t–norm based weighted means can be obtained, too. Our method fits also in the case of finite ordinal scales. Several examples are given.

Publisher

World Scientific Pub Co Pte Lt

Subject

Artificial Intelligence,Information Systems,Control and Systems Engineering,Software

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