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Title On the extended set of weights of the OWA functions Author info Gleb Beliakov, Jana Špirková, Tomasa Calvo Author Beliakov Gleb (40%)
Co-authors Špirková Jana 1962- (40%) UMBEF05 - Katedra kvantitatívnych metód a informačných systémov
Calvo Tomasa (20%)
Source document International Journal of General Systems. Vol. 49, no. 4 (2020), pp. 355-373. - Abingdon : Taylor & Francis Group, 2020 Keywords aggregation functions basis set functions Choquet integral Form. Descr. články - journal articles Language English Country Great Britian URL Link na plný text Public work category ADC No. of Archival Copy 48321 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika 
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Title Mixture functions and their monotonicity Author info Jana Špirková ... [et al.] Author Špirková Jana 1962- (70%) UMBEF05 - Katedra kvantitatívnych metód a informačných systémov
Co-authors Beliakov Gleb (10%)
Bustince Humberto (10%)
Fernandez Javier (10%)
Source document Information sciences. Vol. 481, (2019), pp. 520-549. - New York : Elsevier Science Ltd., 2019 Keywords aggregation functions mixture functions monotonicity weak monotonicity directional monotonicity Form. Descr. články - journal articles Language English Country United States of America systematics 334 Annotation We consider mixture functions, which are a type of weighted averages for which the corresponding weights are calculated by means of appropriate continuous functions of their inputs. In general, these mixture function need not be monotone increasing. For this reason we study sufficient conditions to ensure standard, weak and directional monotonicity for specific types of weighting functions. We also analyze directional monotonicity when differentiability is assumed. (C) 2019 Elsevier Inc. All rights reserved. Public work category ADC No. of Archival Copy 45088 Repercussion category CHEN, Juanjuan - CAI, Zhanchuan. Cardinal MK-spline signal processing : spatial interpolation and frequency domain filtering. In Information sciences. ISSN 0020-0255, 2019, vol. 495, pp. 116-135.
KHAMENEH, Azadeh Zahedi - KILICMAN, Adem. A fuzzy majority-based construction method for composed aggregation functions by using combination operator. In Information sciences. ISSN 0020-0255, 2019, vol. 505, pp. 367-387.
PAPCO, Martin - RODRIGUEZ-MARTINEZ, Iosu - FUMANAL-IDOCIN, Javier - ALTALHI, Abdulrahman H. - BUSTINCE, Humberto. A fusion method for multi-valued data. In Information fusion. ISSN 1566-2535, 2021, vol. 71, pp. 1-10.
KHAMENEH, Azadeh Zahedi - KILICMAN, Adem. Some construction methods of aggregation operators in decision-making problems: an overview. In Symmetry (Basel). ISSN 2073-8994, 2020, vol. 12, no. 5, pp. 1-20.
TANG, Hui-Chin - CHEN, Wei-Ting. Multiple optimal solutions and the best Lipschitz constants between an aggregation function and associated idempotized aggregation function. In Axioms. ISSN 2075-1680, 2021, vol. 10, no. 2, pp. 1-12.
KERK, Yi Wen - TEH, Chin Ying - TAY, Kai Meng - LIM, Chee Peng. Parametric conditions for a monotone TSK fuzzy inference system to be an n-Ary aggregation function. In IEEE transactions on fuzzy systems. ISSN 1063-6706, 2021, vol. 29, no. 7, pp. 1864-1873.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika unrecognised
Title Directional and ordered directional monotonicity of mixture functions Author info Jana Špirková ... [et al.] Author Špirková Jana 1962- (70%) UMBEF05 - Katedra kvantitatívnych metód a informačných systémov
Co-authors Beliakov Gleb (10%)
Bustince Humberto (10%)
Fernández Javier (10%)
Source document Aggregation functions in theory and in practice. Pp. 96-105. - Cham : Springer International Publishing AG, 2018 ; International summer school on aggregation functions - AGOP 2017 conference Keywords directional monotonicity ordered directional monotonicity mixture functions Language English Country Switzerland systematics 004 Public work category AFC No. of Archival Copy 42152 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ unrecognised
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 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.
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 Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika unrecognised
Title Advances in Fuzzy Implication Functions Author info ed. Michał Baczyński ... [et al.] Another authors Baczyński Michał (Editor)
Beliakov Gleb (Editor)
Sola Humberto Bustince (Editor)
Pradera Ana (Editor)
Issue data Berlin : Springer Verlag , 2013 ISBN 978-3-642-35676-6 ISSN 1434-9922 Language English Country Slovak Republic Public work category FAI Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References (1) - PUBLIKAČNÁ ČINNOSŤ 
book
Title Implication functions generated using functions of one variable Author info Dana Hliněná, Martin Kalina, Pavol Kráľ Author Hliněná Dana (20%)
Co-authors Kalina Martin (40%)
Kráľ Pavol 1978- (40%) UMBEF05 - Katedra kvantitatívnych metód a informačných systémov
Source document Advances in Fuzzy Implication Functions. S. 125-153. - Berlin : Springer Verlag, 2013 / Baczyński Michał ; Beliakov Gleb ; Sola Humberto Bustince ; Pradera Ana Keywords implication functions fuzzy implications g-implications h-implications Language English Country Germany systematics 51 URL http://link.springer.com/chapter/10.1007%2F978-3-642-35677-3_6 Public work category AEC No. of Archival Copy 26059 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ unrecognised