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Data-Driven Modeling and Predictive Control of a High-Quality Special Steel Electroslag Remelting Process with Time Delay. [PDF]
Jiang X, Wang Y, Kong S, Yu H, Dong S.
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Hermite–Hadamard inequality for fuzzy integrals
Applied Mathematics and Computation, 20091 ...
Caballero, J., Sadarangani, K.
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Steffensen type inequalities for fuzzy integrals
Applied Mathematics and Computation, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kaluszka, Marek, Boczek, Michal
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A review on some fuzzy integral inequalities
2021Summary: In this paper, we introduce fuzzy measure and fuzzy integral concepts and express some of the fuzzy integral properties. The main purpose of this article is to reviewing of some important mathematical inequalities that have many applications in modeling mathematical problems.
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A Cauchy–Schwarz type inequality for fuzzy integrals
Nonlinear Analysis: Theory, Methods & Applications, 2010In this paper we prove a Cauchy-Schwarz type inequality for fuzzy integrals.
Caballero, J., Sadarangani, K.
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A Jensen type inequality for fuzzy integrals
Information Sciences, 2007The classical Jensen inequality for the Lebesgue integral is related to the convexity of discussed transforming functions, and it fails, in general, for the Sugeno integral. However, modifying the convexity by the boundedness by the identity as proposed in this paper, the authors show a version of Jensen's inequality for the Sugeno integral.
Román-Flores, H. +2 more
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A Chebyshev type inequality for fuzzy integrals
Applied Mathematics and Computation, 2007The classical Chebyshev's integral inequality \(\int_0^1 fg \,d\mu \geq(\int_0^1 f \,d\mu )(\int_0^1 g \,d\mu)\) for \(f, g: [0,1] \to [0, \infty )\) of the same monotonicity type is shown for the case, when the Lebesgue integral is replaced by the Sugeno integral. As a corollary an analogous result for finite number of fuctions is included.
Flores-Franulič, A., Román-Flores, H.
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A Godunova-Type Inequality for Fuzzy Integrals
2010 International Conference on Intelligent Computation Technology and Automation, 2010In this paper, we prove a Godunova-type inequality for fuzzy Integrals. It yields important applications in the theory of fuzzy control.
Li Xiao, Hu Yue
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Ostrowski–Sugeno Type Fuzzy Integral Inequalities
2018Here we present Ostrowski–Sugeno Fuzzy type inequalities. These are Ostrowski-like inequalities in the context of Sugeno fuzzy integral and its special properties. They give tight upper bounds to the deviation of a function from its Sugeno-fuzzy averages. This work is greatly inspired by [1, 4]. It follows [2].
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