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Fractional Ostrowski–Sugeno Type Fuzzy Integral Univariate Inequalities

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Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 190))

Abstract

Here we present fractional univariate Ostrowski-Sugeno Fuzzy type inequalities. These are of Ostrowski-like inequalities in the setting of Sugeno fuzzy integral and its special-particular properties. In a fractional environment, they give tight upper bounds to the deviation of a function from its Sugeno-fuzzy averages. The fractional derivatives we use are of Canavati and Caputo types.

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Correspondence to George A. Anastassiou .

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Anastassiou, G.A. (2019). Fractional Ostrowski–Sugeno Type Fuzzy Integral Univariate Inequalities. In: Ordinary and Fractional Approximation by Non-additive Integrals: Choquet, Shilkret and Sugeno Integral Approximators. Studies in Systems, Decision and Control, vol 190. Springer, Cham. https://doi.org/10.1007/978-3-030-04287-5_16

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