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Different Types Of Continuity Of Triangular Norms Revisited

Author

Listed:
  • 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;
    Institute of the Theory of Information and Automation, Czech Academy of Sciences, Prague, Czech Republic)

  • ENDRE PAP

    (Department of Mathematics and Informatics, University of Novi Sad, Serbia and Montenegro)

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.

Suggested Citation

  • Erich Peter Klement & Radko Mesiar & Endre Pap, 2005. "Different Types Of Continuity Of Triangular Norms Revisited," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 1(02), pages 195-211.
    • Handle: RePEc:wsi:nmncxx:v:01:y:2005:i:02:n:s179300570500010x
    DOI: 10.1142/S179300570500010X
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