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Convolution of Decomposition Integrals

Author

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  • Adam Šeliga

    (Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology in Bratislava, Radlinského 11, 810 05 Bratislava, Slovakia)

Abstract

Four different types of convolutions of aggregation functions (the upper, the lower, the super-, and the sub-convolution) are examined in the setting of both sub- and super-decomposition integrals defined on a finite space. Examples of the results of the paper are provided. As a by-product, the super-additive transformation of sub-decomposition integrals and the sub-additive transformation of super-decomposition integrals are fully characterized. Possible applications are indicated.

Suggested Citation

  • Adam Šeliga, 2022. "Convolution of Decomposition Integrals," Mathematics, MDPI, vol. 10(5), pages 1-9, February.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:5:p:747-:d:759323
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    References listed on IDEAS

    as
    1. Yaarit Even & Ehud Lehrer, 2014. "Decomposition-integral: unifying Choquet and the concave integrals," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(1), pages 33-58, May.
    2. Ehud Lehrer, 2009. "A new integral for capacities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(1), pages 157-176, April.
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    Cited by:

    1. Anca Croitoru & Radko Mesiar & Anna Rita Sambucini & Bianca Satco, 2022. "Special Issue on Set Valued Analysis 2021," Mathematics, MDPI, vol. 10(15), pages 1-2, July.

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