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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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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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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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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The Alternative Representation of the Bipolar Sugeno Integral [PDF]
Engineering and Technology Journal, 2022 In the context of decision support systems, bi-capacities were introduced as an extension of classical capacities. Many bipolar fuzzy integrals related to the bi-capacities have been presented in recent years.
Jabbar Abbas, Hossein Jafari
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Godunova Type Inequality for Sugeno Integral [PDF]
Sahand Communications in Mathematical Analysis, 2022 In this paper, we investigate Godunova type inequality for Sugeno integrals in two cases. At the first case, we suppose that the inner integral is the Riemann integral and the remaining two integrals are of Sugeno type.
Bayaz Daraby +2 more
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Barnes−Godunova−Levin Type Inequalities for Generalized Sugeno Integral [PDF]
Mathematics Interdisciplinary Research, 2023 This article will prove the Barnes–Godunova–Levin (B-G-L) type inequalities for generalized Sugeno integrals. Also, we use some techniques and properties of concave functions to prove theorems and to obtain new results.
Mohsen Jaddi, Amir Loghman
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Ｒesearch on Generalized Sugeno Fuzzy Probability Integral Based on t-Modular Operator
Journal of Harbin University of Science and Technology, 2021 Fuzzy probability integral is an important part of fuzzy mathematics，and it is an integral form which combines fuzzy probability with integral. In this paper，a quasi-multiplication operator and a quasi-sum operator are designed by using the definition ...
ZHANO Hui, JIANG Xin-ge, SHAN Yun-xiao
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Generalizations of Related Fritz Carlson Type Inequalities for Fuzzy Integrals [PDF]
Sahand Communications in Mathematical Analysis, 2021 In this paper, We review general related inequalities to Carlson-type inequalities for the Sugeno integral on an abstract fuzzy measure space $(X,\Sigma)$. Some examples are given to illustrate the validity of main results.
Bayaz Daraby
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