Results 241 to 250 of about 31,933 (279)

Hermite–Hadamard inequality for fuzzy integrals

Applied Mathematics and Computation, 2009
1 ...
Caballero, J., Sadarangani, K.
openaire   +3 more sources

Steffensen type inequalities for fuzzy integrals

Applied Mathematics and Computation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kaluszka, Marek, Boczek, Michal
openaire   +1 more source

A review on some fuzzy integral inequalities

2021
Summary: 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.
openaire   +1 more source

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.
Caballero, J., Sadarangani, K.
openaire   +2 more sources

A Jensen type inequality for fuzzy integrals

Information Sciences, 2007
The 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
openaire   +1 more source

A Chebyshev type inequality for fuzzy integrals

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.
Flores-Franulič, A., Román-Flores, H.
openaire   +2 more sources

A Godunova-Type Inequality for Fuzzy Integrals

2010 International Conference on Intelligent Computation Technology and Automation, 2010
In 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
openaire   +1 more source

Ostrowski–Sugeno Type Fuzzy Integral Inequalities

2018
Here 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].
  +4 more sources

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