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Weak monotonicity of Lehmer and Gini means

  1. TitleWeak monotonicity of Lehmer and Gini means
    Author infoGleb 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  
    LanguageEnglish
    CountryNetherlands
    systematics 51
    AnnotationWe 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 Copy37762
    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.
    PÉREZ-FERNÁNDEZ, Raúl - DE BAETS, Bernard - GAGOLEWSKI, Marek. A taxonomy of monotonicity properties for the aggregation of multidimensional data. In Information fusion. ISSN 1566-2535, 2019, vol. 52, pp. 322-334.
    SESMA-SARA, Mikel - LAFUENTE, Julio - ROLDÁN, Antonio - MESIAR, Radko - BUSTINCE, Humberto. Strengthened ordered directionally monotone functions. Links between the different notions of monotonicity. In Fuzzy sets and systems. ISSN 0165-0114, 2019, vol. 357, pp. 151-172.
    SESMA-SARA, Mikel - DE MIGUEL, Laura - LAFUENTE, Julio - BARRENECHEA, Edurne - MESIAR, Radko - BUSTINCE, Humberto. Strengthened ordered directional and other generalizations of monotonicity for aggregation functions. In Communications in computer and information science. ISSN 1865-0929, 2018, vol. 854, pp. 416-426.
    TERZIYAN, Vagan. Social distance metric : from coordinates to neighborhoods. In International journal of geographical information science. ISSN 1365-8816, 2017, vol. 31, no. 12, pp. 2401-2426.
    GILBERT, Hugo. Fair proportional representation problems with, mixture operators. In 5th international conference on algorithmic decision theory, Luxembourg, 25th - 27th October 2017. Berlin : Springer Verlag, 2017. ISBN 978-331967503-9, pp. 108-123.
    SESMA-SARA, Mikel - MESIAR, Radko - BUSTINCE, Humberto. Weak and directional monotonicity of functions on Riesz spaces to fuse uncertain data. In Fuzzy sets and systems. ISSN 0165-0114, 2020, vol. 386, pp. 145-160.
    DIMURO, Gracaliz Pereira - FERNANDEZ, Javier - BEDREGAL, Benjamin - MESIAR, Radko - ANTONIO SANZ, Jose - LUCCA, Giancarlo - BUSTINCE, Humberto. The state-of-art of the generalizations of the Choquet integral : from aggregation and pre-aggregation to ordered directionally monotone functions. In Information fusion. ISSN 1566-2535, 2020, vol. 57, pp. 27-43.
    SESMA-SARA, Mikel - DE MIGUEL, Laura - ROLDAN LOPEZ DE HIERRO, Antonio Francisco - LAFUENTE, Julio - MESIAR, Radko - BUSTINCE, Humberto. Pointwise directional increasingness and geometric interpretation of directionally monotone functions. In Information sciences. ISSN 0020-0255, 2019, vol. 501, pp. 236-247.
    SESMA-SARA, Mikel - DE MIGUEL, Laura - MESIAR, Radko - FERNANDEZ, Javier - BUSTINCE, Humberto. Interval-valued pre-aggregation functions : a study of directional monotonicity of interval-valued functions. In IEEE international conference on fuzzy systems : FUZZ 2019, New Orleans, 23rd-26th June 2019. [New Jersey] : IEEE - Institute of electrical and electronics engineers, 2019. ISBN 978-153861728-1, pp. 1-6.
    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.
    PEREZ-FERNANDEZ, Raul - DE BAETS, Bernard. Aggregation theory revisited. In IEEE transactions on fuzzy systems. ISSN 1063-6706, 2021, vol. 29, no. 4, pp. 797-804.
    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.
    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.
    Catal.org.BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
    Databasexpca - PUBLIKAČNÁ ČINNOSŤ
    ReferencesPERIODIKÁ-Súborný záznam periodika
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Number of the records: 1  

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