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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, Lu Wang, Jianxia Liu, Gang Ma   +3 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 Reports
The integration of AI simulation models within smart electrical prosthetic systems represents a significant advancement in disability disease diagnosis.
Ubaid ur Rehman, Meraj Ali Khan, Osamah AbdulAziz Aldayel, Tahir Mahmood   +3 more
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Personalized bundle recommendation using preference elicitation and the Choquet integral [PDF]

Frontiers in Artificial Intelligence
Bundle 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, Marco Bronzini, Marco Bronzini, Paolo Viappiani, Andrea Passerini   +4 more
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Choquet integral-based fuzzy molecular characterizations: when global definitions are computed from the dependency among atom/bond contributions (LOVIs/LOEIs) [PDF]

Journal of Cheminformatics, 2018
Background Several topological (2D) and geometric (3D) molecular descriptors (MDs) are calculated from local vertex/edge invariants (LOVIs/LOEIs) by performing an aggregation process.
César R. García-Jacas, Lisset Cabrera-Leyva, Yovani Marrero-Ponce, José Suárez-Lezcano, Fernando Cortés-Guzmán, Mario Pupo-Meriño, Ricardo Vivas-Reyes   +6 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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Recognition of Electroencephalography-Related Features of Neuronal Network Organization in Patients With Schizophrenia Using the Generalized Choquet Integrals

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, Paweł Karczmarek, Paweł Krukow, Monika Kaczorowska, Mikhail Tokovarov, Kamil Jonak, Kamil Jonak   +6 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, Micha Dolecki, Pawel Powroznik, Zbigniew A. Lagodowski, Adam Gregosiewicz, Lukasz Galka, Witold Pedrycz, Dariusz Czerwinski, Kamil Jonak   +8 more
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The Approach of Induced Generalized Neutrosophic Cubic Shapley Choquet Integral Aggregation Operators via the CODAS Method to Solve Distance-Based Multicriteria Decision-Making Problems

Journal of Mathematics, 2022
This study aims to define a conjecture that can handle complex frames of work more efficiently that occurs in daily life problems. In decision-making theory inter-relation of criteria, weights and choice decision-making method subject to the given ...
Majid Khan, Muhammad Gulistan, Mohammed M. Al-Shamiri   +2 more
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Weighted Moving Averages for a Series of Fuzzy Numbers Based on Nonadditive Measures with σ − λ Rules and Choquet Integral of Fuzzy-Number-Valued Function

Journal of Function Spaces, 2020
The aim of this study is to generalize moving average by means of Choquet integral. First, by employing nonadditive measures with δ − λ rules, the calculation of the moving average for a series of fuzzy numbers can be transformed into Choquet integration
Zengtai Gong, Wenjing Lei, Kun Liu, Na Qin   +3 more
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