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Mixture functions and their monotonicity
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.
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