Sharp bounds of Jensen type for the generalized Sugeno integral

Abstract In this paper we provide two-sided attainable bounds of Jensen type for the generalized Sugeno integral of any measurable function. The results extend the previous results of Roman-Flores et al. for increasing functions and Abbaszadeh et al. for convex and concave functions. We also give corrections of some results of Abbaszadeh et al. As a by-product, we obtain sharp inequalities for symmetric integral of Grabisch. To the best of our knowledge, the results in the real-valued functions context are presented for the first time here.

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