Results 261 to 270 of about 55,382 (309)

A Chebyshev type inequality for fuzzy integrals [PDF]

Applied Mathematics and Computation, 2007
The 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.
A. Flores-Franulic, Heriberto Román-Flores   +1 more
openaire   +4 more sources

Fuzzy dynamic output feedback control for nonlinear networked multirate sampled-data systems: An integral inequality method [PDF]

Fuzzy Sets Syst., 2022
This paper is devoted to fuzzy dynamic output feedback control for nonlinear networked multirate sampled-data systems based on T-S fuzzy systems. Using asynchronous multirate sampled-data, a multirate fuzzy controller is designed.
Weiwei Ma, X. Jia, Fuwen Yang, Xiaobo Chi   +3 more
semanticscholar   +2 more sources

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A Cauchy–Schwarz type inequality for fuzzy integrals

Nonlinear Analysis: Theory, Methods & Applications, 2010
In this paper we prove a Cauchy-Schwarz type inequality for fuzzy integrals.
J Caballero, Kishin Sadarangani
exaly   +3 more sources

General Chebyshev Type Inequality for Seminormed Fuzzy Integral

Modeling Decisions for Artificial Intelligence, 2019
We give a necessary and sufficient condition for Chebyshev type inequality in the class of seminormed fuzzy integrals with respect to m-positively dependent functions. Reviewing the literature many known results are generalized. We also present the Chebyshev type inequality for Shilkret integral for independent random variables.
Michał Boczek, A. Hovana, O. Hutník
semanticscholar   +2 more sources

Generalized integral inequality to admissibility analysis for T-S fuzzy singular time-delay systems

Cybersecurity and Cyberforensics Conference, 2019
This paper investigates the admissibility analysis problem for T-S fuzzy singular time-delay systems by using the generalized integral inequality method.
Zhiguang Feng
exaly   +2 more sources

Order Relations, Convexities, and Jensen’s Integral Inequalities in Interval and Fuzzy Spaces [PDF]

, 2018
This study presents new interval and fuzzy versions of the Jensen’s integral inequality, which extend the classical Jensen’s integral inequality for real-valued functions, using Aumann and Kaleva integrals. The inequalities for interval-valued functions are interpreted through the preference order relations given by Ishibuchi and Tanaka, which are ...
Tiago Mendonça da Costa, Yurilev Chalco-Cano, Laécio Carvalho de Barros, Geraldo Nunes Silva   +3 more
openaire   +2 more sources

Further robust stability analysis for uncertain Takagi–Sugeno fuzzy systems with time-varying delay via relaxed integral inequality

Information Sciences, 2017
Zhi Lian, Yong He, Chuan-Ke Zhang
exaly   +2 more sources

Stability and stabilization of T–S fuzzy systems with time delay via Wirtinger-based double integral inequality

Neurocomputing, 2018
Jiyong Tan, Songyi Dian, Tao Zhao
exaly   +2 more sources

Jensen's inequality type integral for fuzzy-interval-valued functions

Fuzzy Sets and Systems, 2017
Tiago Mendonça da Costa
exaly   +2 more sources

Free-matrix-based integral inequality for stability analysis of uncertain T-S fuzzy systems with time-varying delay

International Journal of Control, Automation and Systems, 2016
Wenpin Luo, Jun Yang
exaly   +2 more sources