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Weak monotonicity of Lehmer and Gini means
Title Weak monotonicity of Lehmer and Gini means Author info Gleb Beliakov, Jana Špirková Author Beliakov Gleb (20%)
Co-authors Špirková Jana 1962- (80%) UMBEF05 - Katedra kvantitatívnych metód a informačných systémov
Source document Fuzzy Sets and Systems : An International Journal in Information Science and Engineering. Vol. 299 (2016), pp. 26-40. - Amsterdam : Elsevier B.V., 2016 Keywords funkcie - functions monotónne funkcie weak monotonicity Language English Country Netherlands systematics 51 Annotation We analyzedirectional monotonicity of several mixture functions in the direction (1, 1 ..., 1), called weak monotonicity. Our particular focus is on power weighting functions and the special cases of Lehmer and Gini means. We establish limits on the number of arguments of these means for which they are weakly monotone. These bounds significantly improve the earlier results and hence increase the range of applicability of Gini and Lehmer means. We also discuss the case of affine weighting functions and find the smallest constant which ensures weak monotonicity of such mixture functions. (C) 2015 Elsevier B.V. All rights reserved. Public work category ADC No. of Archival Copy 37762 Repercussion category BENTKOWSKA, Urszula. Aggregation in interval-valued settings. In Studies in fuzziness and soft computing. ISSN 1434-9922, 2020, vol. 378, pp. 25-68.
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TERZIYAN, Vagan - MALYK, Diana - GOLOVIANKO, Mariia - BRANYTSKYI, Vladyslav. Hyper-flexible convolutional neural networks based on generalized lehmer and power means. In Neural networks. ISSN 0893-6080, 2022, vol. 155, pp. 177-203.
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