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Weak monotonicity of Lehmer and Gini means
Názov Weak monotonicity of Lehmer and Gini means Aut.údaje Gleb Beliakov, Jana Špirková Autor Beliakov Gleb (20%)
Spoluautori Špirková Jana 1962- (80%) UMBEF05 - Katedra kvantitatívnych metód a informačných systémov
Zdroj.dok. Fuzzy Sets and Systems : An International Journal in Information Science and Engineering. Vol. 299 (2016), pp. 26-40. - Amsterdam : Elsevier B.V., 2016 Kľúč.slová funkcie - functions monotónne funkcie weak monotonicity Jazyk dok. angličtina Krajina Holandsko Systematika 51 Anotácia 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. Kategória publikačnej činnosti ADC Číslo archívnej kópie 37762 Kategória ohlasu 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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SESMA-SARA, Mikel - MESIAR, Radko - FERNANDEZ, Javier - TAKAC, Zdenko - BUSTINCE, Humberto. A proposal of the notions of ordered and strengthened ordered directional monotonicity for interval-valued functions based on admissible orders. In 2020 IEEE international conference on fuzzy systems (FUZZ-IEEE), Glasgow, 19th-24th July 2020. New York : Institute of electrical and electronics engineers, 2020. ISBN 978-1-7281-6932-3, pp. 1-7.
HAIT, Swati Rani - MESIAR, Radko - GUHA, Debashree - CHAKRABORTY, Debjani. A new family of Bonferroni mean-type pre-aggregation operators. In 2020 IEEE international conference on fuzzy systems (FUZZ-IEEE), Glasgow, 19th-24th July 2020. New York : Institute of electrical and electronics engineers, 2020. ISBN 978-1-7281-6932-3, pp. 1-6.
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HAIT, Swati Rani - MESIAR, Radko - GUPTA, Pragya - GUHA, Debashree - CHAKRABORTY, Debjani. The Bonferroni mean-type pre-aggregation operators construction and generalization : application to edge detection. In Information fusion. ISSN 1566-2535, 2022, vol. 80, pp. 226-240.
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Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ Odkazy PERIODIKÁ-Súborný záznam periodika 
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