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Partially Bipolar Choquet Integrals
IEEE Transactions on Fuzzy Systems, 2009Grabisch and Labreuche have recently proposed an extension of the Choquet integral adapted to situations where the values to be aggregated lie on a bipolar scale. The resulting continuous piecewise linear aggregation function has the ability to represent decisional behaviors that depend on the ldquopositiverdquo or ldquonegativerdquo satisfaction of ...
I. Kojadinovic, C. Labreuche
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Pseudo-integral and generalized Choquet integral
Fuzzy Sets and Systems, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Deli, Mesiar, Radko, Pap, Endre
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The balancing Choquet integral
Fuzzy Sets and Systems, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mesiarová-Zemánková, Andrea +2 more
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Chebyshev’s inequality for Choquet-like integral
Applied Mathematics and Computation, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sheng, Changtao +2 more
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Aggregation of Choquet Integrals
2016Aggregation functions acting on the lattice of all Choquet integrals on a fixed measurable space \((\mathrm {X},\mathcal {A})\) are discussed. The only direct aggregation of Choquet integrals resulting into a Choquet integral is linked to the convex sums, i.e., to the weighted arithmetic means.
Radko Mesiar +2 more
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Dilatation monotonous Choquet integrals
Journal of Mathematical Economics, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Numerical integration for the Choquet integral
Information Fusion, 2016Study of the Choquet integral for continuous functions.Numerical integration for the Choquet integral on the real line.Numerical examples of the computation of the numerical Choquet integral.Numerical computation of the Hellinger distance for fuzzy measures.
Vicenç Torra, Yasuo Narukawa
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A note on "d-Choquet integrals: Choquet integrals based on dissimilarities"
[EN] The d-Choquet integral extends the classical Choquet integral by substituting the difference operator with a restricted dissimilarity function. Bustince et al. introduced Property (P1) in 2021 to ensure the boundedness of this generalized integral within the unit interval. In this note, we emphasize the necessity of revising this property.openaire +3 more sources
2003
Choquet integral type DEA is a global evaluation model of cross efficiency scores which calculated by ∅ s transformation type fuzzy measure and Choquet integral model. As D-efficient DMU’s input and output weights are not determined uniquely, the DMU’s cross-efficiency scores are not determined uniquely.
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Choquet integral type DEA is a global evaluation model of cross efficiency scores which calculated by ∅ s transformation type fuzzy measure and Choquet integral model. As D-efficient DMU’s input and output weights are not determined uniquely, the DMU’s cross-efficiency scores are not determined uniquely.
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Choquet Integral and Interval Type-2 Fuzzy Choquet Integral for Edge Detection
2016In this paper, a method for edge detection in digital images based on morphological gradient technique in combination with Choquet integral, and the interval type-2 Choquet integral is proposed. The aggregation operator is used as a method to integrate the four gradients of the edge detector. Simulation results with real images and synthetic images are
Gabriela E. Martínez +4 more
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