Publikation:

Maxitive functions with respect to general orders

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2025

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Zapata, José M.

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Fuzzy Sets and Systems. Elsevier. 2025, 516, 109430. ISSN 0165-0114. eISSN 1872-6801. Verfügbar unter: doi: 10.1016/j.fss.2025.109430

Zusammenfassung

In decision-making, maxitive functions are used for worst-case and best-case evaluations. Maxitivity gives rise to a rich structure that is well-studied in the context of the pointwise order. In this article, we investigate maxitivity with respect to general preorders and provide a representation theorem for such functions. The results are illustrated for different stochastic orders in the literature, including the usual stochastic order, the increasing convex/concave order, and the dispersive order.

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510 Mathematik

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ISO 690KUPPER, Michael, José M. ZAPATA, 2025. Maxitive functions with respect to general orders. In: Fuzzy Sets and Systems. Elsevier. 2025, 516, 109430. ISSN 0165-0114. eISSN 1872-6801. Verfügbar unter: doi: 10.1016/j.fss.2025.109430
BibTex
@article{Kupper2025-09Maxit-73617,
  title={Maxitive functions with respect to general orders},
  year={2025},
  doi={10.1016/j.fss.2025.109430},
  volume={516},
  issn={0165-0114},
  journal={Fuzzy Sets and Systems},
  author={Kupper, Michael and Zapata, José M.},
  note={Article Number: 109430}
}
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