Wu, Jian-Zhang; Beliakov, Gleb; James, Simon; Gagolewski, Marek Random generation of linearly constrained fuzzy measures and domain coverage performance evaluation. (English) Zbl 07806128 Inf. Sci. 659, Article ID 120080, 15 p. (2024). MSC: 90Cxx 68-XX PDFBibTeX XMLCite \textit{J.-Z. Wu} et al., Inf. Sci. 659, Article ID 120080, 15 p. (2024; Zbl 07806128) Full Text: DOI
Beliakov, Gleb; Gagolewski, Marek; James, Simon Reduction of variables and constraints in fitting antibuoyant fuzzy measures to data using linear programming. (English) Zbl 1522.28018 Fuzzy Sets Syst. 451, 266-284 (2022). MSC: 28E10 PDFBibTeX XMLCite \textit{G. Beliakov} et al., Fuzzy Sets Syst. 451, 266--284 (2022; Zbl 1522.28018) Full Text: DOI
Beliakov, Gleb; Divakov, Dmitriy Aggregation with dependencies: capacities and fuzzy integrals. (English) Zbl 1522.28017 Fuzzy Sets Syst. 446, 222-232 (2022). MSC: 28E10 PDFBibTeX XMLCite \textit{G. Beliakov} and \textit{D. Divakov}, Fuzzy Sets Syst. 446, 222--232 (2022; Zbl 1522.28017) Full Text: DOI
Wilkin, Tim; Beliakov, Gleb Robust aggregation of compositional and interval-valued data: the mode on the unit simplex. (English) Zbl 1522.62059 Fuzzy Sets Syst. 446, 124-143 (2022). MSC: 62H30 62H12 62H86 PDFBibTeX XMLCite \textit{T. Wilkin} and \textit{G. Beliakov}, Fuzzy Sets Syst. 446, 124--143 (2022; Zbl 1522.62059) Full Text: DOI
Beliakov, Gleb; Gagolewski, Marek; James, Simon Hierarchical data fusion processes involving the Möbius representation of capacities. (English) Zbl 1522.68549 Fuzzy Sets Syst. 433, 1-21 (2022). MSC: 68T37 28E10 PDFBibTeX XMLCite \textit{G. Beliakov} et al., Fuzzy Sets Syst. 433, 1--21 (2022; Zbl 1522.68549) Full Text: DOI
Beliakov, Gleb; Cabrerizo, Francisco Javier; Herrera-Viedma, Enrique; Wu, Jian-Zhang Random generation of \(k\)-interactive capacities. (English) Zbl 1522.91075 Fuzzy Sets Syst. 430, 48-55 (2022). MSC: 91B06 91B86 PDFBibTeX XMLCite \textit{G. Beliakov} et al., Fuzzy Sets Syst. 430, 48--55 (2022; Zbl 1522.91075) Full Text: DOI
Beliakov, Gleb Knapsack problems with dependencies through non-additive measures and Choquet integral. (English) Zbl 1506.90118 Eur. J. Oper. Res. 301, No. 1, 277-286 (2022). MSC: 90B50 28E10 90C10 91B06 91A12 PDFBibTeX XMLCite \textit{G. Beliakov}, Eur. J. Oper. Res. 301, No. 1, 277--286 (2022; Zbl 1506.90118) Full Text: DOI
Beliakov, Gleb; Wu, Jian-Zhang Random generation of capacities and its application in comprehensive decision aiding. (English) Zbl 07775840 Inf. Sci. 577, 424-435 (2021). MSC: 90B50 62H10 PDFBibTeX XMLCite \textit{G. Beliakov} and \textit{J.-Z. Wu}, Inf. Sci. 577, 424--435 (2021; Zbl 07775840) Full Text: DOI
Beliakov, Gleb On the derivatives of set functions in matrix representation. (English) Zbl 1475.68378 Inf. Sci. 546, 469-480 (2021). MSC: 68T37 15A30 28A12 28E10 91A12 PDFBibTeX XMLCite \textit{G. Beliakov}, Inf. Sci. 546, 469--480 (2021; Zbl 1475.68378) Full Text: DOI
Beliakov, Gleb; Wu, Jian-Zhang Learning \(k\)-maxitive fuzzy measures from data by mixed integer programming. (English) Zbl 1467.28012 Fuzzy Sets Syst. 412, 41-52 (2021). MSC: 28E10 90C11 90C70 PDFBibTeX XMLCite \textit{G. Beliakov} and \textit{J.-Z. Wu}, Fuzzy Sets Syst. 412, 41--52 (2021; Zbl 1467.28012) Full Text: DOI
Beliakov, Gleb; Gagolewski, Marek; James, Simon Robust fitting for the Sugeno integral with respect to general fuzzy measures. (English) Zbl 1457.68260 Inf. Sci. 514, 449-461 (2020). MSC: 68T37 28E10 68T05 PDFBibTeX XMLCite \textit{G. Beliakov} et al., Inf. Sci. 514, 449--461 (2020; Zbl 1457.68260) Full Text: DOI
Beliakov, G.; Gagolewski, M.; James, S. DC optimization for constructing discrete Sugeno integrals and learning nonadditive measures. (English) Zbl 1473.90125 Optimization 69, No. 12, 2515-2534 (2020). Reviewer: Samir Kumar Neogy (New Delhi) MSC: 90C26 28B20 28E10 03E72 65K05 PDFBibTeX XMLCite \textit{G. Beliakov} et al., Optimization 69, No. 12, 2515--2534 (2020; Zbl 1473.90125) Full Text: DOI
Špirková, Jana; Beliakov, Gleb; Bustince, Humberto; Fernandez, Javier Mixture functions and their monotonicity. (English) Zbl 1446.28012 Inf. Sci. 481, 520-549 (2019). MSC: 28E10 26B40 PDFBibTeX XMLCite \textit{J. Špirková} et al., Inf. Sci. 481, 520--549 (2019; Zbl 1446.28012) Full Text: DOI Link
Beliakov, Gleb; Gómez, Daniel; James, Simon; Montero, Javier; Rodríguez, J. Tinguaro Approaches to learning strictly-stable weights for data with missing values. (English) Zbl 1380.68350 Fuzzy Sets Syst. 325, 97-113 (2017). MSC: 68T37 68T05 PDFBibTeX XMLCite \textit{G. Beliakov} et al., Fuzzy Sets Syst. 325, 97--113 (2017; Zbl 1380.68350) Full Text: DOI
Bustince, Humberto; Beliakov, Gleb; Dimuro, Graçaliz Pereira; Bedregal, Benjamín; Mesiar, Radko On the definition of penalty functions in data aggregation. (English) Zbl 1409.68288 Fuzzy Sets Syst. 323, 1-18 (2017). MSC: 68T37 PDFBibTeX XMLCite \textit{H. Bustince} et al., Fuzzy Sets Syst. 323, 1--18 (2017; Zbl 1409.68288) Full Text: DOI
Beliakov, Gleb; Dujmović, Jozo Extension of bivariate means to weighted means of several arguments by using binary trees. (English) Zbl 1390.68631 Inf. Sci. 331, 137-147 (2016). MSC: 68T37 PDFBibTeX XMLCite \textit{G. Beliakov} and \textit{J. Dujmović}, Inf. Sci. 331, 137--147 (2016; Zbl 1390.68631) Full Text: DOI
Pradera, A.; Beliakov, G.; Bustince, H.; De Baets, B. A review of the relationships between implication, negation and aggregation functions from the point of view of material implication. (English) Zbl 1387.03023 Inf. Sci. 329, 357-380 (2016). MSC: 03B52 PDFBibTeX XMLCite \textit{A. Pradera} et al., Inf. Sci. 329, 357--380 (2016; Zbl 1387.03023) Full Text: DOI
Beliakov, Gleb; Špirková, Jana Weak monotonicity of Lehmer and Gini means. (English) Zbl 1416.68053 Fuzzy Sets Syst. 299, 26-40 (2016). MSC: 68P01 26E60 PDFBibTeX XMLCite \textit{G. Beliakov} and \textit{J. Špirková}, Fuzzy Sets Syst. 299, 26--40 (2016; Zbl 1416.68053) Full Text: DOI
Paternain, D.; Fernandez, J.; Bustince, H.; Mesiar, R.; Beliakov, G. Construction of image reduction operators using averaging aggregation functions. (English) Zbl 1360.68881 Fuzzy Sets Syst. 261, 87-111 (2015). MSC: 68U10 PDFBibTeX XMLCite \textit{D. Paternain} et al., Fuzzy Sets Syst. 261, 87--111 (2015; Zbl 1360.68881) Full Text: DOI
Beliakov, Gleb; Calvo, Tomasa; Wilkin, Tim On the weak monotonicity of Gini means and other mixture functions. (English) Zbl 1360.68372 Inf. Sci. 300, 70-84 (2015). MSC: 68P01 26E60 PDFBibTeX XMLCite \textit{G. Beliakov} et al., Inf. Sci. 300, 70--84 (2015; Zbl 1360.68372) Full Text: DOI
Wilkin, Tim; Beliakov, Gleb; Calvo, Tomasa Weakly monotone averaging functions. (English) Zbl 1415.68244 Laurent, Anne (ed.) et al., Information processing and management of uncertainty in knowledge-based systems. 15th international conference, IPMU 2014, Montpellier, France, July 15–19, 2014. Proceedings. Part III. Cham: Springer. Commun. Comput. Inf. Sci. 444, 364-373 (2014). MSC: 68T37 PDFBibTeX XMLCite \textit{T. Wilkin} et al., Commun. Comput. Inf. Sci. 444, 364--373 (2014; Zbl 1415.68244) Full Text: DOI arXiv
Beliakov, Gleb; Wilkin, Tim On some properties of weighted averaging with variable weights. (English) Zbl 1360.62154 Inf. Sci. 281, 1-7 (2014). MSC: 62G07 68T37 PDFBibTeX XMLCite \textit{G. Beliakov} and \textit{T. Wilkin}, Inf. Sci. 281, 1--7 (2014; Zbl 1360.62154) Full Text: DOI
Beliakov, G.; Pagola, M.; Wilkin, T. Vector valued similarity measures for Atanassov’s intuitionistic fuzzy sets. (English) Zbl 1355.03040 Inf. Sci. 280, 352-367 (2014). MSC: 03E72 94A17 PDFBibTeX XMLCite \textit{G. Beliakov} et al., Inf. Sci. 280, 352--367 (2014; Zbl 1355.03040) Full Text: DOI
Bustince, H.; Jurio, A.; Pradera, A.; Mesiar, R.; Beliakov, G. Generalization of the weighted voting method using penalty functions constructed via faithful restricted dissimilarity functions. (English) Zbl 1292.91061 Eur. J. Oper. Res. 225, No. 3, 472-478 (2013). MSC: 91B12 PDFBibTeX XMLCite \textit{H. Bustince} et al., Eur. J. Oper. Res. 225, No. 3, 472--478 (2013; Zbl 1292.91061) Full Text: DOI
Bedregal, Benjamín; Beliakov, Gleb; Bustince, Humberto; Fernández, Javier; Pradera, Ana; Reiser, Renata (\(S,N\))-implications on bounded lattices. (English) Zbl 1307.03015 Baczyński, Michał (ed.) et al., Advances in fuzzy implication functions. Berlin: Springer (ISBN 978-3-642-35676-6/hbk; 978-3-642-35677-3/ebook). Studies in Fuzziness and Soft Computing 300, 101-124 (2013). Reviewer: Lidong Wang (Dalian) MSC: 03B52 PDFBibTeX XMLCite \textit{B. Bedregal} et al., Stud. Fuzziness Soft Comput. 300, 101--124 (2013; Zbl 1307.03015) Full Text: DOI
Bedregal, Benjamín; Beliakov, Gleb; Bustince, Humberto; Calvo, Tomasa; Mesiar, Radko; Paternain, Daniel A class of fuzzy multisets with a fixed number of memberships. (English) Zbl 1247.03113 Inf. Sci. 189, 1-17 (2012). MSC: 03E72 PDFBibTeX XMLCite \textit{B. Bedregal} et al., Inf. Sci. 189, 1--17 (2012; Zbl 1247.03113) Full Text: DOI
Pradera, Ana; Beliakov, Gleb; Bustince, Humberto Aggregation functions and contradictory information. (English) Zbl 1238.68162 Fuzzy Sets Syst. 191, 41-61 (2012). MSC: 68T37 PDFBibTeX XMLCite \textit{A. Pradera} et al., Fuzzy Sets Syst. 191, 41--61 (2012; Zbl 1238.68162) Full Text: DOI
Beliakov, Gleb; Bustince, Humberto; Fernandez, Javier The median and its extensions. (English) Zbl 1217.62012 Fuzzy Sets Syst. 175, No. 1, 36-47 (2011). MSC: 62E10 62E99 PDFBibTeX XMLCite \textit{G. Beliakov} et al., Fuzzy Sets Syst. 175, No. 1, 36--47 (2011; Zbl 1217.62012) Full Text: DOI
Beliakov, G.; Bustince, H.; Goswami, D. P.; Mukherjee, U. K.; Pal, N. R. On averaging operators for Atanassov’s intuitionistic fuzzy sets. (English) Zbl 1215.03064 Inf. Sci. 181, No. 6, 1116-1124 (2011). Reviewer: Krassimir Atanassov (Sofia) MSC: 03E72 PDFBibTeX XMLCite \textit{G. Beliakov} et al., Inf. Sci. 181, No. 6, 1116--1124 (2011; Zbl 1215.03064) Full Text: DOI
Calvo, Tomasa; Beliakov, Gleb Aggregation functions based on penalties. (English) Zbl 1207.68384 Fuzzy Sets Syst. 161, No. 10, 1420-1436 (2010). MSC: 68T37 PDFBibTeX XMLCite \textit{T. Calvo} and \textit{G. Beliakov}, Fuzzy Sets Syst. 161, No. 10, 1420--1436 (2010; Zbl 1207.68384) Full Text: DOI Link
Beliakov, Gleb Construction of aggregation functions from data using linear programming. (English) Zbl 1183.62006 Fuzzy Sets Syst. 160, No. 1, 65-75 (2009). MSC: 62-07 90C05 90C90 62J99 PDFBibTeX XMLCite \textit{G. Beliakov}, Fuzzy Sets Syst. 160, No. 1, 65--75 (2009; Zbl 1183.62006) Full Text: DOI
Beliakov, G.; Calvo, T.; Pradera, A. Absorbent tuples of aggregation operators. (English) Zbl 1123.68124 Fuzzy Sets Syst. 158, No. 15, 1675-1691 (2007). MSC: 68T37 03E72 PDFBibTeX XMLCite \textit{G. Beliakov} et al., Fuzzy Sets Syst. 158, No. 15, 1675--1691 (2007; Zbl 1123.68124) Full Text: DOI Link
Beliakov, Gleb; Mesiar, Radko; Valaskova, Lubka Fitting generated aggregation operators to empirical data. (English) Zbl 1073.28012 Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 12, No. 2, 219-236 (2004). Reviewer: Wolfgang Näther (Freiberg) MSC: 28E10 65D07 PDFBibTeX XMLCite \textit{G. Beliakov} et al., Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 12, No. 2, 219--236 (2004; Zbl 1073.28012) Full Text: DOI
Beliakov, G. Monotone approximation of aggregation operators using least squares splines. (English) Zbl 1074.68620 Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 10, No. 6, 659-676 (2002). MSC: 68T37 03E72 41A15 PDFBibTeX XMLCite \textit{G. Beliakov}, Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 10, No. 6, 659--676 (2002; Zbl 1074.68620) Full Text: DOI
Beliakov, Gleb Definition of general aggregation operators through similarity relations. (English) Zbl 0962.03051 Fuzzy Sets Syst. 114, No. 3, 437-453 (2000). Reviewer: Milan Mareš (Praha) MSC: 03E72 PDFBibTeX XMLCite \textit{G. Beliakov}, Fuzzy Sets Syst. 114, No. 3, 437--453 (2000; Zbl 0962.03051) Full Text: DOI
Beliakov, Gleb Fuzzy sets and membership functions based on probabilities. (English) Zbl 0879.04003 Inf. Sci. 91, No. 1-2, 95-111 (1996). MSC: 03E72 94D05 60A10 PDFBibTeX XMLCite \textit{G. Beliakov}, Inf. Sci. 91, No. 1--2, 95--111 (1996; Zbl 0879.04003) Full Text: DOI
Amaya Cruz, G. P.; Beliakov, G. Approximate reasoning and interpretation of laboratory tests in medical diagnostics. (English) Zbl 0867.90073 Cybern. Syst. 26, No. 6, 713-729 (1995). MSC: 90B99 PDFBibTeX XMLCite \textit{G. P. Amaya Cruz} and \textit{G. Beliakov}, Cybern. Syst. 26, No. 6, 713--729 (1995; Zbl 0867.90073) Full Text: DOI