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Related Thunsdorff type and Frank–Pick type inequalities for Sugeno integral

Author

Listed:
  • Daraby, B.
  • Mesiar, R.
  • Rostampour, F.
  • Rahimi, A.

Abstract

The purpose of this paper is to investigate the Thunsdorff’s inequality for Sugeno integral. By an example, we show that the classical form of this inequality does not hold for Sugeno integral. Then, by reviewing the initial conditions, we prove two main theorems for this inequality. Finally, by checking the special case of the aforementioned Thunsdorff’s inequality, we prove Frank–Pick type inequality for the Sugeno integral and illustrate it by an example.

Suggested Citation

  • Daraby, B. & Mesiar, R. & Rostampour, F. & Rahimi, A., 2022. "Related Thunsdorff type and Frank–Pick type inequalities for Sugeno integral," Applied Mathematics and Computation, Elsevier, vol. 414(C).
    • Handle: RePEc:eee:apmaco:v:414:y:2022:i:c:s0096300321007670
    DOI: 10.1016/j.amc.2021.126683
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    References listed on IDEAS

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    1. Daraby, Bayaz & Ghazanfary Asll, Hassan & Sadeqi, Ildar, 2017. "General related inequalities to Carlson-type inequality for the Sugeno integral," Applied Mathematics and Computation, Elsevier, vol. 305(C), pages 323-329.
    2. Michel Grabisch, 2016. "Set Functions, Games and Capacities in Decision Making," Theory and Decision Library C, Springer, number 978-3-319-30690-2, July.
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