Domination of ordered weighted averaging operators over t-norms

Authors:
R. Mesiar;S. Saminger
Affiliations:
Faculty of Civil Engineering, Department of Mathematics and Descriptive Geometry, Slovak University of Technology SK-81 368 Bratislava, Slovakia Institute of Information Theory and Automation, Cze ...;Department of Algebra, Fuzzy Logic Laboratorium Linz-Hagenberg, Stochastics and Knowledge-Based Mathematical Systems, Johannes Kepler University, A-4040, Linz, Austria
Venue:
Soft Computing - A Fusion of Foundations, Methodologies and Applications
Year:
2004

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Abstract

The fusion of transitive fuzzy relations preserving the transitivity is linked to the domination of the involved aggregation operator. The aim of this contribution is to investigate the domination of OWA operators over t-norms whereas the main emphasis is on the domination over the Łukasiewicz t-norm. The domination of OWA operators and related operators over continuous Archimedean t-norms will also be discussed.