Integral representation of coherent upper conditional prevision with respect to its associated Hausdorff outer measure: a comparison among the Choquet integral, the pan-integral and the concave integral
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of General Systems"
DOI: 10.1080/03081079.2018.1473392
Abstract: In this paper, it is proven that the natural extensions of a submodular coherent upper conditional probability, defined a class S properly contained in the power set of Ω, coincide on the class of all… read more here.
Keywords: coherent upper; upper conditional; conditional prevision; integral pan ... See more keywords
Deriving efficacy from basic uncertain information and uncertain Choquet Integral
Sign Up to like & getrecommendations! Published in 2022 at "International Journal of General Systems"
DOI: 10.1080/03081079.2022.2104268
Abstract: Basic Uncertain Information (BUI) as a newly introduced concept generalized a wide range of uncertain information. We discuss and compare some methods to derive efficacy from given BUI collection, which is helpful in decision aid.… read more here.
Keywords: information; uncertain choquet; efficacy; uncertain information ... See more keywords
Multivariate Chebyshev inequality in generalized measure space based on Choquet integral
Sign Up to like & getrecommendations! Published in 2017 at "Communications in Statistics - Theory and Methods"
DOI: 10.1080/03610926.2016.1213293
Abstract: ABSTRACT The multivariate Chebyshev inequality for a random vector on probability measure space has been studied by numerous authors. One thing that seems missing is the multivariate version of Chebyshev inequality in non additive cases.… read more here.
Keywords: based choquet; multivariate chebyshev; measure space; chebyshev inequality ... See more keywords
Discrete Choquet Integrals for Riemann Integrable Inputs With Some Applications
Sign Up to like & getrecommendations! Published in 2018 at "IEEE Transactions on Fuzzy Systems"
DOI: 10.1109/tfuzz.2018.2792458
Abstract: Choquet Integral is a powerful aggregation function especially in merging finite real inputs. However in real life, many inputs exist in continuum, e.g., the Riemann Integrable functions. The standard Choquet Integral formulas can not accommodate… read more here.
Keywords: integrals riemann; integrable inputs; choquet integral; choquet integrals ... See more keywords
d-XC Integrals: On the Generalization of the Expanded Form of the Choquet Integral by Restricted Dissimilarity Functions and Their Applications
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Fuzzy Systems"
DOI: 10.1109/tfuzz.2022.3176916
Abstract: Restricted dissimilarity functions (RDFs) were introduced to overcome problems resulting from the adoption of the standard difference. Based on those RDFs, Bustince et al. introduced a generalization of the Choquet integral (CI), called d-Choquet integral,… read more here.
Keywords: problem; generalization; choquet integral; expanded form ... See more keywords
Choquet Integral-Based Aggregation for the Analysis of Anomalies Occurrence in Sustainable Transportation Systems
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Transactions on Fuzzy Systems"
DOI: 10.1109/tfuzz.2022.3222025
Abstract: Anomaly detection is one of the most important problems of modern data science due to the threat to the security of information systems as well as their users. This applies in particular to logistic data,… read more here.
Keywords: integral based; aggregation analysis; choquet integral; systems choquet ... See more keywords
Equipment Development Scheme Decision Based on IFS-Choquet Integral Improved Matter Element Model
Sign Up to like & getrecommendations! Published in 2023 at "Mathematical Problems in Engineering"
DOI: 10.1155/2023/9588802
Abstract: An optimized matter element decision method is proposed based on intuitionistic fuzzy set (IFS) and Choquet integral to solve the problems of equipment development scheme decision (e.g., the correlation of scheme attributes and the low… read more here.
Keywords: matter element; decision; scheme; choquet integral ... See more keywords
The Choquet integral of log-convex functions
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-018-1803-y
Abstract: 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… read more here.
Keywords: log convex; choquet integral; integral log; convex functions ... See more keywords
Recognition of Electroencephalography-Related Features of Neuronal Network Organization in Patients With Schizophrenia Using the Generalized Choquet Integrals
Sign Up to like & getrecommendations! Published in 2021 at "Frontiers in Neuroinformatics"
DOI: 10.3389/fninf.2021.744355
Abstract: 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 schizophrenia (SZ) or healthy controls… read more here.
Keywords: choquet integral; electroencephalography related; recognition electroencephalography; organization ... See more keywords
Quasi-Arithmetic Type Mean Generated by the Generalized Choquet Integral
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DOI: 10.3390/sym12122104
Abstract: It is known that the quasi-arithmetic means can be characterized in various ways, with an essential role of a symmetry property. In the expected utility theory, the quasi-arithmetic mean is called the certainty equivalent and… read more here.
Keywords: quasi arithmetic; mean; choquet integral; generalized choquet ... See more keywords
Choquet-Integral-Based Data Envelopment Analysis with Stochastic Multicriteria Acceptability Analysis
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DOI: 10.3390/sym14040642
Abstract: Data envelopment analysis (DEA) is a non-parametric method for measuring the efficiencies of decision-making units (DMUs) by using a set of inputs and a set of outputs. However, traditional DEA models always assume that the… read more here.
Keywords: acceptability; analysis; dea models; choquet integral ... See more keywords