Jensen and Chebyshev inequalities for pseudo-integrals of set-valued functions

DOI10.1016/j.fss.2012.07.011zbMath1284.28007OpenAlexW2039561821MaRDI QIDQ2445418

Slavica Medić, Tatjana Grbić, Gabrijela Grujić, Ivana Štajner-Papuga, Mirjana Strboja

Publication date: 14 April 2014

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2012.07.011

zbMATH Keywords

set-valued functionspseudo-integralChebyshev-type inequalityJensen-type inequalitypseudo-operations

Mathematics Subject Classification ID

Decision theory (91B06) Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Inequalities for sums, series and integrals (26D15) Nonstandard measure theory (28E05)

Related Items (21)

On interval-valued \(\mathbb{K}\)-Riemann integral and Hermite-Hadamard type inequalities ⋮ Choquet integral Jensen's inequalities for set-valued and fuzzy set-valued functions ⋮ Inequalities of the Chebyshev type based on pseudo-integrals ⋮ Generalized expectation with general kernels on g-semirings and its applications ⋮ Hölder and Minkowski type inequalities for pseudo-fractional integral ⋮ Some generalizations of Opial type inequalities for interval-valued functions ⋮ Generalized pseudo-integral Jensen's inequality for \(((\oplus_1,\otimes_1),(\oplus_2,\otimes_2))\)-pseudo-convex functions ⋮ Fubini theorem and generalized Minkowski inequality for the pseudo-integral ⋮ Discrete Opial type inequalities for interval-valued functions ⋮ On pseudo-Mittag-Leffler functions and applications ⋮ Jensen's inequality type integral for fuzzy-interval-valued functions ⋮ Hermite–Hadamard’s inequality for pseudo-fractional integral operators ⋮ A premium principle based on the g-integral ⋮ Inequalities of Lyapunov and Stolarsky type for Choquet-like integrals with respect to nonmonotonic fuzzy measures ⋮ Jensen's inequalities for pseudo-integrals ⋮ Pseudo-fractional integral inequality of Chebyshev type ⋮ Jensen's inequalities for set-valued and fuzzy set-valued functions ⋮ Jensen type inequality for the bipolar pseudo-integrals ⋮ Wirtinger integral inequalities for pseudo-integrals and pseudo-additive measure ⋮ Generalizations of the Steffensen integral inequality for pseudo-integrals ⋮ A refinement of the Jensen type inequality for the pseudo-integral

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