Results 1 to 10 of about 209 (169)
Ostrowski and Čebyšev type inequalities for interval-valued functions and applications. [PDF]
PLoS ONE, 2023 As an essential part of classical analysis, Ostrowski and Čebyšev type inequalities have recently attracted considerable attention. Due to its universality, the non-additive integral inequality takes several forms, including Sugeno integrals, Choquet ...
Jing Guo +3 more
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Dissimilarity Based Choquet Integrals [PDF]
Information Processing and Management of Uncertainty in Knowledge-Based Systems18th International Conference, 2020 In this paper, in order to generalize the Choquet integral, we replace the difference between inputs in its definition by a restricted dissimilarity function and refer to the obtained function as d-Choquet integral. For some particular restricted dissimilarity function the corresponding d-Choquet integral with respect to a fuzzy measure is just the ...
Bustince H +8 more
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Recognition of Electroencephalography-Related Features of Neuronal Network Organization in Patients With Schizophrenia Using the Generalized Choquet Integrals [PDF]
Frontiers in Neuroinformatics, 2021 In this study, we focused on the verification of suitable aggregation operators enabling accurate differentiation of selected neurophysiological features extracted from resting-state electroencephalographic recordings of patients who were diagnosed with ...
Małgorzata Plechawska-Wójcik +6 more
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d-Choquet integrals: Choquet integrals based on dissimilarities
Fuzzy Sets and Systems, 2021 The paper introduces a new class of functions from [0,1]n to [0,n] called d-Choquet integrals. These functions are a generalization of the 'standard' Choquet integral obtained by replacing the difference in the definition of the usual Choquet integral by a dissimilarity function. In particular, the class of all d-Choquet integrals encompasses the class
Graçaliz Dimuro +2 more
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Quantitative approximation by nonlinear Angheluta-Choquet singular integrals
Journal of Numerical Analysis and Approximation Theory, 2020 By using the concept of nonlinear Choquet integral with respect to a capacity and as a generalization of the Poisson-Cauchy-Choquet operators, we introduce the nonlinear Angheluta-Choquet singular integrals with respect to a family of submodular set ...
Sorin Gal, Ionut Iancu
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New Classifier Ensemble and Fuzzy Community Detection Methods Using POP Choquet-like Integrals
Fractal and Fractional, 2023 Among various data analysis methods, classifier ensemble (data classification) and community network detection (data clustering) have aroused the interest of many scholars. The maximum operator, as the fusion function, was always used to fuse the results
Xiaohong Zhang +2 more
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Decomposition Integrals of Set-Valued Functions Based on Fuzzy Measures
Mathematics, 2023 The decomposition integrals of set-valued functions with regards to fuzzy measures are introduced in a natural way. These integrals are an extension of the decomposition integral for real-valued functions and include several types of set-valued integrals,
Leifan Yan, Tong Kang, Huai Zhang
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Mathematics, 2023 Covering granular reduction is an important issue in multi-covering information systems. The main methods to solve this problem are set operators. How to solve this problem by quantitative analysis is an interesting topic.
Jingqian Wang +2 more
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Common Belief in Choquet Rationality and Ambiguity Attitudes – Extended Abstract [PDF]
Electronic Proceedings in Theoretical Computer Science, 2019 We consider finite games in strategic form with Choquet expected utility. Using the notion of (unambiguously) believed, we define Choquet rationalizability and characterize it by Choquet rationality and common beliefs in Choquet rationality in the ...
Adam Dominiak, Burkhard Schipper
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Discrete Integrals Based on Comonotonic Modularity
Axioms, 2013 It is known that several discrete integrals, including the Choquet and Sugeno integrals, as well as some of their generalizations, are comonotonically modular functions.
Jean-Luc Marichal, Miguel Couceiro
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