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Multidimensional Ostrowski–Sugeno Type Fuzzy Integral Inequalities

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Ordinary and Fractional Approximation by Non-additive Integrals: Choquet, Shilkret and Sugeno Integral Approximators

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

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Abstract

Here we present multivariate Ostrowski–Sugeno Fuzzy type inequalities. These are multivariate Ostrowski-like inequalities in the context of Sugeno fuzzy integral and its special properties. They give tight upper bounds to the deviation of a multivariate function from its Sugeno-fuzzy multivariate averages. It follows [3].

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References

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Memphis, Memphis, TN, USA

    George A. Anastassiou

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  1. George A. Anastassiou
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Correspondence to George A. Anastassiou .

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Anastassiou, G.A. (2019). Multidimensional Ostrowski–Sugeno Type Fuzzy Integral 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_17

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