Marek Gagolewski

Polish Academy of Sciences

52Publications

7H-index

202Citations

Publications 52

Newest

Raúl Pérez-Fernández6 (UGent: Ghent University), Bernard De Baets55 (UGent: Ghent University), Marek Gagolewski7 (PAN: Polish Academy of Sciences)

Estimated H-index: 6

Estimated H-index: 55

Estimated H-index: 7

Abstract The property of monotonicity, which requires a function to preserve a given order, has been considered the standard in the aggregation of real numbers for decades. In this paper, we argue that, for the case of multidimensional data, an order-based definition of monotonicity is far too restrictive. We propose several meaningful alternatives to this property not involving the preservation of a given order by returning to its early origins stemming from the field of calculus. Numerous aggr...

Piecewise linear approximation of fuzzy numbers: algorithms, arithmetic operations and stability of characteristics

Published on Feb 14, 2019

Lucian C. Coroianu12 (University of Oradea), Marek Gagolewski7 (Warsaw University of Technology), Przemysław Grzegorzewski22 (Warsaw University of Technology)

Estimated H-index: 12

Estimated H-index: 7

Estimated H-index: 22

The problem of the piecewise linear approximation of fuzzy numbers giving outputs nearest to the inputs with respect to the Euclidean metric is discussed. The results given in Coroianu et al. (Fuzzy Sets Syst 233:26–51, 2013) for the 1-knot fuzzy numbers are generalized for arbitrary n-knot (\(n\ge 2\)) piecewise linear fuzzy numbers. Some results on the existence and properties of the approximation operator are proved. Then, the stability of some fuzzy number characteristics under approximation...

Gleb Beliakov31 (Deakin University), Marek Gagolewski7 (PAN: Polish Academy of Sciences), Simon James14 (Deakin University)

Estimated H-index: 31

Estimated H-index: 7

Estimated H-index: 14

Abstract The Sugeno integral is a function particularly suited to the aggregation of ordinal inputs. Defined with respect to a fuzzy measure, its ability to account for complementary and redundant relationships between variables brings much potential to the field of biomedicine, where it is common for measurements and patient information to be expressed qualitatively. However, practical applications require well-developed methods for identifying the Sugeno integral’s parameters, and this task is...

Lucian C. Coroianu12 (University of Oradea), F Robert31 (Széchenyi István University)+ 1 AuthorsSimon James14 (Deakin University)

Estimated H-index: 12

Estimated H-index: 31

Estimated H-index: 14

Abstract The constrained ordered weighted averaging (OWA) aggregation problem arises when we aim to maximize or minimize a convex combination of order statistics under linear inequality constraints that act on the variables with respect to their original sources. The standalone approach to optimizing the OWA under constraints is to consider all permutations of the inputs, which becomes quickly infeasible when there are more than a few variables, however in certain cases we can take advantage of ...

Published on Jan 1, 2019

Lucian C. Coroianu12 , Marek Gagolewski7

Estimated H-index: 12

Estimated H-index: 7

Agnieszka Geras , Grzegorz Siudem2 , Marek Gagolewski7 (PAN: Polish Academy of Sciences)

Estimated H-index: 2

Estimated H-index: 7

Marek Gagolewski7 (Warsaw University of Technology), Simon James14 (Deakin University), Gleb Beliakov31 (Deakin University)

Estimated H-index: 7

Estimated H-index: 14

Estimated H-index: 31

The problem of learning symmetric capacities (or fuzzy measures) from data is investigated toward applications in data analysis and prediction as well as decision making. Theoretical results regarding the solution minimizing the mean absolute error are exploited to develop an exact branch-refine-and-bound-type algorithm for fitting Sugeno integrals (weighted lattice polynomial functions, max–min operators) with respect to symmetric capacities. The proposed method turns out to be particularly sui...

Marek Gagolewski7 , Raúl Pérez-Fernández6 , Bernard De Baets55

Estimated H-index: 7

Estimated H-index: 6

Estimated H-index: 55

Jan Lasek3 (PAN: Polish Academy of Sciences), Marek Gagolewski7 (PAN: Polish Academy of Sciences)

Estimated H-index: 3

Estimated H-index: 7

The efficacy of different league formats in ranking teams according to their true latent strength is analysed. To this end, a new approach for estimating attacking and defensive strengths based on the Poisson regression for modelling match outcomes is proposed. Various performance metrics are estimated reflecting the agreement between latent teams’ strength parameters and their final rank in the league table. The tournament designs studied here are used in the majority of European top-tier assoc...

Least Median of Squares (LMS) and Least Trimmed Squares (LTS) Fitting for the Weighted Arithmetic Mean

Published on Jun 11, 2018 in ICInPro (International Conference Information Processing)

Gleb Beliakov31 (Deakin University), Marek Gagolewski7 (PAN: Polish Academy of Sciences), Simon James14 (Deakin University)

Estimated H-index: 31

Estimated H-index: 7

Estimated H-index: 14

We look at different approaches to learning the weights of the weighted arithmetic mean such that the median residual or sum of the smallest half of squared residuals is minimized. The more general problem of multivariate regression has been well studied in statistical literature, however in the case of aggregation functions we have the restriction on the weights and the domain is also usually restricted so that ‘outliers’ may not be arbitrarily large. A number of algorithms are compared in term...

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