Results 1 to 10 of about 882 (207)
The symmetric Sugeno integral [PDF]
Fuzzy Sets and Systems, 2003 We propose an extension of the Sugeno integral for negative numbers, in the spirit of the symmetric extension of Choquet integral, also called \Sipos\ integral. Our framework is purely ordinal, since the Sugeno integral has its interest when the underlying structure is ordinal.
Michel Grabisch
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An equivalent condition to the Jensen inequality for the generalized Sugeno integral [PDF]
Journal of Inequalities and Applications, 2017 For the classical Jensen inequality of convex functions, i.e., H ( 1 μ ( D ) ∫ D f d μ ) ≤ 1 μ ( D ) ∫ D H ∘ f d μ , $$\begin{aligned} H \biggl(\frac{1}{\mu(D)} \int_{D}f\,d\mu \biggr)\leq\frac{1}{\mu (D)} \int_{D} H\circ f\,d\mu, \end{aligned}$$ an ...
Mohsen Jaddi +3 more
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On Sugeno integral as an aggregation function [PDF]
Fuzzy Sets and Systems, 2000 The author studies the Sugeno integral with respect to a discrete fuzzy measure \(\mu: 2^n\to [0,1]\) (i.e., a monotone function with \(\mu(\emptyset)= 0\) and \(\mu(\{1,\dots, n\})= 1\). Identifying a real-valued function on \(\{1,\dots, n\}\) with a vector \((x_1,\dots, x_n)\) the Sugeno integral is considered as aggregation function, i.e., a real ...
Jean-Luc Marichal
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General Type-2 Fuzzy Sugeno Integral for Edge Detection [PDF]
Journal of Imaging, 2019 A type-2 fuzzy edge detection method is presented in this paper. The general process consists of first obtaining the image gradients in the four directions—horizontal, vertical, and the two diagonals—and this technique is known as the ...
Gabriela E. Martínez +3 more
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A Version of Favard's Inequality for the Sugeno Integral [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this paper, we present a version of Favard's inequality for special case and then generalize it for the Sugeno integral in fuzzy measure space $(X,Sigma,mu)$, where $mu$ is the Lebesgue measure. We consider two cases, when our function is concave and
Bayaz Daraby +2 more
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Morphological classification of neurons based on Sugeno fuzzy integration and multi-classifier fusion [PDF]
Scientific ReportsIn order to extract more important morphological features of neuron images and achieve accurate classification of the neuron type, a method is proposed that uses Sugeno fuzzy integral integration of three optimized deep learning models, namely AlexNet ...
Fuyun He, Guanglian Li, Haixing Song
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Robust fault diagnosis of fractional order Takagi–Sugeno systems with uncertainties in premise variables [PDF]
Scientific ReportsThis paper introduces two novel fault detection techniques employing Fractional Order Proportional Integral Fuzzy Observer (FO-PIFO) designs to diagnose nonlinear systems modeled by Fractional Order Takagi–Sugeno (FO-TS) frameworks.
Abdelghani Djeddi +5 more
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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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A new characterization of the discrete Sugeno integral [PDF]
Information Fusion, 2016 11 ...
Radomir Halas +2 more
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Bellman Type Inequality for Sugeno Integrals [PDF]
Sahand Communications in Mathematical AnalysisIn this paper, we prove Bellman type inequality for Sugeno integral and generalize it for pseudo-integrals. Furthermore, we generalize the Bellman's inequality in abstract spaces.
Bayaz Daraby, Ramin Mosalman
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