Directional Properties of Semi-aggregation Functions

Stupňanová, Andrea

doi:10.1007/978-3-031-07707-4_7

Andrea Stupňanová ORCID: orcid.org/0000-0003-0381-2007⁶

Part of the book series: Studies in Computational Intelligence ((SCI,volume 1040))

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Abstract

We relate notions of directional monotonicity and of directional shift-invariantness with the classical directional derivatives. Based on a fixed direction \({\vec {r}}\), possible shift constants are determined. Several examples illustrate our ideas and results.

This work was supported by the Slovak Research and Development Agency under the contract no. APVV-17-0066 and grant VEGA 1/0468/20

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Authors and Affiliations

Faculty of Civil Engineering Bratislava, Slovak University of Technology in Bratislava, Bratislava, Slovak Republic
Andrea Stupňanová

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Andrea Stupňanová
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Correspondence to Andrea Stupňanová .

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Editors and Affiliations

Faculty of Engineering, Department of Mathematics, University of Cádiz, Puerto Real, Spain
María Eugenia Cornejo
Department of Mathematics and Computational Sciences, Széchenyi István University, Győr, Hungary
István Á. Harmati
Faculty of Engineering Sciences, Széchenyi István University, Győr, Hungary
László T. Kóczy
Science Faculty, Department of Mathematics, University of Cádiz, Cádiz, Spain
Jesús Medina-Moreno

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Stupňanová, A. (2023). Directional Properties of Semi-aggregation Functions. In: Cornejo, M.E., Harmati, I.Á., Kóczy, L.T., Medina-Moreno, J. (eds) Computational Intelligence and Mathematics for Tackling Complex Problems 4. Studies in Computational Intelligence, vol 1040. Springer, Cham. https://doi.org/10.1007/978-3-031-07707-4_7

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DOI: https://doi.org/10.1007/978-3-031-07707-4_7
Published: 21 September 2022
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-07706-7
Online ISBN: 978-3-031-07707-4
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