DIFFERENT TYPES OF CONTINUITY OF TRIANGULAR NORMS REVISITED

Erich Peter Klement (), Radko Mesiar () and Endre Pap ()
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Erich Peter Klement: Department of Knowledge-Based Mathematical Systems, Johannes Kepler University, Linz, Austria
Radko Mesiar: Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering Slovak University of Technology, Bratislava, Slovakia;
Endre Pap: Department of Mathematics and Informatics, University of Novi Sad, Serbia and Montenegro

New Mathematics and Natural Computation (NMNC), 2005, vol. 01, issue 02, 195-211

Abstract: Different types of continuity of triangular norms are investigated. The types which are stronger than the usual continuity are analytical properties and, therefore, there are representations of the corresponding triangular norms. This is not the case for the weaker types of continuity (which are topological properties). In these cases, some related analytical properties are discussed, in particular, the Schur concavity.

Keywords: Triangular norm; Lipschitz property; Schur concavity; stability (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1142/S179300570500010X

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