Cross-migrative triangular norms

Authors:
János Fodor;Erich Peter Klement;Radko Mesiar
Affiliations:
Institute of Intelligent Engineering Systems, 'Obuda University, Budapest, Hungary;Department of Knowledge-Based Mathematical Systems, Johannes Kepler University, Linz, Austria;Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Slovakia and Centre of Excellence IT4Inno-va-tions—Division Un ...
Venue:
International Journal of Intelligent Systems
Year:
2012

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Abstract

We study the cross-migrativity of triangular norms. The classes of continuous triangular norms, which are cross-migrative with respect to some strict or nilpotent triangular norm, respectively, are completely characterized, as well as those which are cross-migrative with respect to the greatest and smallest triangular norms, respectively. As a by-product, parametric systems of equivalence relations on the classes of strict and nilpotent triangular norms are found. © 2012 Wiley Periodicals, Inc. © 2012 Wiley Periodicals, Inc.