Results 241 to 250 of about 1,955,261 (263)

Berwald and Favard Type Inequalities for Fuzzy Integrals

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2016
This paper propose a Berwald type inequality and a Favard type inequality for Sugeno integrals. That is, we first show that [Formula: see text] holds for some constant [Formula: see text] where f is a monotone and concave function on [0, 1] and [Formula: see text] is the Lebesgue measure on [Formula: see text].
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General Chebyshev Type Inequality for Seminormed Fuzzy Integral

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.
Michal Boczek, Anton Hovana, Ondrej Hutník   +2 more
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A Hadamard-type inequality for fuzzy integrals based on r-convex functions

Soft Computing, 2015
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Sadegh Abbaszadeh, Madjid Eshaghi
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ON AN EXTENDED CHEBYSHEV TYPE INEQUALITY FOR SEMI(CO)NORMED FUZZY INTEGRALS

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2011
The aim of the present paper is to establish an extended Chebyshev type inequality for semi(co)normed fuzzy integrals based on an aggregation function and a scale transformation. The extended Chebyshev type inequality given in this paper provides a generalization of some previous results.
Hamzeh Agahi, Mohammed Ali Yaghoobi
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A general inequality of Chebyshev type for semi(co)normed fuzzy integrals

Soft Computing, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hamzeh Agahi, Esfandiar Eslami
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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].
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Order Relations, Convexities, and Jensen’s Integral Inequalities in Interval and Fuzzy Spaces

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
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Fuzzy Fractional Calculus and the Ostrowski Integral Inequality

2011
Here we introduce and study the right and left fuzzy fractional Riemann- Liouville integrals and the right and left fuzzy fractional Caputo derivatives. Then we present the right and left fuzzy fractional Taylor formulae. Based on these we establish a fuzzy fractional Ostrowski type inequality with applications. The last inequality provides an estimate
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Stability and Stabilization of T–S Fuzzy Time-Delay System via Relaxed Integral Inequality and Dynamic Delay Partition

IEEE Transactions on Fuzzy Systems, 2021
Huaguang Zhang, Liang Jia, Gang Wang
exaly  

On a version of fuzzy Jensen inequality based on the measure of level-set

Fuzzy Sets and Systems, 2021
Tran Nhat Luan, Tran Minh Thuyet, Do Huy Hoang   +2 more
exaly