A Version of Favard's Inequality for the Sugeno Integral

Authors

  • Bayaz Daraby Department of Mathematics, University of Maragheh, Maragheh, Iran.
  • IldarI Sadeqi Department of Mathematics, Sahand University of Technology, Tabriz, Iran.
Abstract:

In this paper, we  present a version of Favard's inequality for special case and then generalize it for the Sugeno integral in fuzzy measure space $(X,Sigma,mu)$, where $mu$ is the Lebesgue measure. We consider two cases, when our function is concave and when is convex. In addition for illustration of theorems, several examples are given.

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Journal title

volume 17  issue 1

pages  23- 37

publication date 2020-01-01

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