The Choquet integral of log-convex functions [PDF]
Journal of Inequalities and Applications, 2018 In this paper we investigate the upper bound and the lower bound of the Choquet integral for log-convex functions. Firstly, for a monotone log-convex function, we state the similar Hadamard inequality of the Choquet integral in the framework of distorted
Hongxia Wang
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Multi-criteria decision making based on induced generalized interval neutrosophic Choquet integral. [PDF]
PLoS ONE, 2020 In this paper, two new aggregation operators based on Choquet integral, namely the induced generalized interval neutrosophic Choquet integral average operator(IGINCIA) and the induced generalized interval neutrosophic Choquet integral geometric operator ...
Yangyang Jiao +3 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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AI simulation models for diagnosing disabilities in smart electrical prosthetics using bipolar fuzzy decision making based on choquet integral [PDF]
Scientific ReportsThe integration of AI simulation models within smart electrical prosthetic systems represents a significant advancement in disability disease diagnosis.
Ubaid ur Rehman +3 more
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Personalized bundle recommendation using preference elicitation and the Choquet integral [PDF]
Frontiers in Artificial IntelligenceBundle recommendation aims to generate bundles of associated products that users tend to consume as a whole under certain circumstances. Modeling the bundle utility for users is a non-trivial task, as it requires to account for the potential ...
Erich Robbi +4 more
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Axiomatizations of signed discrete Choquet integrals [PDF]
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2010 We study the so-called signed discrete Choquet integral (also called non-monotonic discrete Choquet integral) regarded as the Lov\'asz extension of a pseudo-Boolean function which vanishes at the origin.
Cardin, Marta +3 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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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
H. Bustince +8 more
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Quadrature-Inspired Generalized Choquet Integral in an Application to Classification Problems
IEEE Access, 2023 Correct classification remains a challenge for researchers and practitioners developing algorithms. Even a minor enhancement in classification quality, for instance, can significantly boost the effectiveness of detecting conditions or anomalies in safety
Pawel Karczmarek +8 more
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AIMS Mathematics, 2020 In this paper, a new kind of real-valued major Choquet integral, real-valued minor Choquet integral and interval-valued Choquet integrals for set-valued functions is introduced and investigated.
Zengtai Gong, Xuyang Kou, Ting Xie
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