Some integral inequalities for fuzzy-interval-valued functions

TM Costa, H Román-Flores - Information Sciences, 2017 - Elsevier
This study presents new fuzzy versions of Minkowski and Beckenbach's integral inequalities
without making use of the Sugeno integral. These new inequalities generalize the interval …

The Sugeno integral with respect to α-preinvex functions

J Liao, S Wu, T Du - Fuzzy sets and systems, 2020 - Elsevier
In this paper, we establish the left hand side of the Hermite–Hadamard inequality for α-
preinvex functions, and illustrate that the Hermite–Hadamard inequality for α-preinvex …

Jensen-type inequalities for Sugeno integral

S Abbaszadeh, ME Gordji, E Pap, A Szakal - Information Sciences, 2017 - Elsevier
In this paper, the classical Jensen inequalities for concave function φ, ie, φ (∫ f (x) d μ)⩾∫ φ
(f) d μ and φ (∑ i= 1 n λ ixi)⩾∑ i= 1 n λ i φ (xi), are adapted for the Sugeno integral using the …

Generalization of the Stolarsky type inequality for pseudo-integrals

B Daraby - Fuzzy Sets and Systems, 2012 - Elsevier
In this paper, we prove a Stolarsky type inequality for two classes of pseudo-integrals. One
of them deals with pseudo-integrals where pseudo-operations are defined via a monotone …

A Hadamard-type inequality for fuzzy integrals based on r-convex functions

S Abbaszadeh, M Eshaghi - Soft Computing, 2016 - Springer
In this paper, it is shown that the Hadamard integral inequality for r-convex functions is not
satisfied in the fuzzy context. Using the classical Hadamard integral inequality, we give an …

On Chebyshev type inequalities for generalized Sugeno integrals

M Kaluszka, A Okolewski, M Boczek - Fuzzy Sets and Systems, 2014 - Elsevier
We give the necessary and sufficient conditions guaranteeing the validity of Chebyshev type
inequalities for generalized Sugeno integrals in the case of functions belonging to a much …

The Sugeno fuzzy integral of log-convex functions

S Abbaszadeh, M Eshaghi, M de la Sen - Journal of Inequalities and …, 2015 - Springer
The Sugeno fuzzy integral of log-convex functions | Journal of Inequalities and Applications
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Sandor's inequality for Sugeno integrals

J Caballero, K Sadarangani - Applied Mathematics and Computation, 2011 - Elsevier
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Hermite–Hadamard-type inequalities for coordinated convex functions using fuzzy integrals

M Amer Latif - Mathematics, 2023 - mdpi.com
In this paper, some estimates of third and fourth inequalities in Hermite–Hadamard-type
inequalities for coordinated convex functions are proved using the non-additivity of the …

Hermite–Hadamard type inequality for Sugeno integrals

DQ Li, XQ Song, T Yue - Applied Mathematics and Computation, 2014 - Elsevier
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