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Berwald and Favard Type Inequalities for Fuzzy Integrals
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2016This 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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Choquet integral Jensen’s inequalities for set-valued and fuzzy set-valued functions
Soft Computing, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Deli Zhang +3 more
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Chebyshev type inequalities for general fuzzy integrals
Information Sciences, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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, 2011The 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 Hadamard-type inequality for fuzzy integrals based on r-convex functions
Soft Computing, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sadegh Abbaszadeh, Madjid Eshaghi
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General Chebyshev Type Inequality for Seminormed Fuzzy Integral
2019We 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 +2 more
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A general inequality of Chebyshev type for semi(co)normed fuzzy integrals
Soft Computing, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hamzeh Agahi, Esfandiar Eslami
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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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Order Relations, Convexities, and Jensen’s Integral Inequalities in Interval and Fuzzy Spaces
2018This 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 +3 more
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Fuzzy Fractional Calculus and the Ostrowski Integral Inequality
2011Here 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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