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A complete description of comparison meaningful functions

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Summary.

Comparison meaningful functions acting on some real interval E are completely described as transformed coordinate projections on minimal invariant subsets. The case of monotone comparison meaningful functions is further specified. Several already known results for comparison meaningful functions and invariant functions are obtained as consequences of our description.

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Authors and Affiliations

  1. Faculty of Law, Economics and Finance, University of Luxembourg, 162A, avenue de la Faïencerie, L-1511, Luxembourg, Grand Duchy of Luxembourg

    Jean-Luc Marichal

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

    Radko Mesiar & Tatiana Rückschlossová

Authors
  1. Jean-Luc Marichal
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  2. Radko Mesiar
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  3. Tatiana Rückschlossová
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Corresponding author

Correspondence to Jean-Luc Marichal.

Additional information

Manuscript received: March 21, 2002 and, in final form, July 1, 2004.

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Marichal, JL., Mesiar, R. & Rückschlossová, T. A complete description of comparison meaningful functions. Aequ. math. 69, 309–320 (2005). https://doi.org/10.1007/s00010-004-2762-6

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  • DOI: https://doi.org/10.1007/s00010-004-2762-6

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