Hermite-Hadamard inequality for fuzzy integrals
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Publication:1039679
DOI10.1016/j.amc.2009.08.006zbMath1181.26045OpenAlexW2000229542MaRDI QIDQ1039679
Kishin Sadarangani, Josefa Caballero
Publication date: 23 November 2009
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2009.08.006
Inequalities for sums, series and integrals (26D15) Fuzzy measure theory (28E10) Fuzzy real analysis (26E50)
Related Items (17)
Hermite-Hadamard type inequality for Sugeno integrals ⋮ Steffensen's Integral Inequality for the Sugeno Integral ⋮ A Version of Favard's Inequality for the Sugeno Integral ⋮ On pseudo-fractional integral inequalities related to Hermite-Hadamard type ⋮ A Hadamard-type inequality for fuzzy integrals based on \(r\)-convex functions ⋮ Related Fritz Carlson type inequalities for Sugeno integrals ⋮ Sugeno integral for Hermite-Hadamard inequality and quasi-arithmetic means ⋮ General Barnes-Godunova-Levin type inequalities for Sugeno integral ⋮ Generalizations of Related Fritz Carlson Type Inequalities for Fuzzy Integrals ⋮ A Liapunov type inequality for Sugeno integrals ⋮ Hermite–Hadamard’s inequality for pseudo-fractional integral operators ⋮ Sandor's inequality for Sugeno integrals ⋮ Hölder type inequalities for Sugeno integrals under usual multiplication operations ⋮ General Fritz Carlson's type inequality for Sugeno integrals ⋮ Barnes-Godunova-Levin type inequality of the sugeno integral for an \((\alpha,m)\)-concave function ⋮ The Sugeno integral with respect to \(\alpha\)-preinvex functions ⋮ Nonlinear integrals and Hadamard-type inequalities
Cites Work
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- H-continuity of fuzzy measures and set defuzzification
- The fuzzy integral for monotone functions
- The fuzzy integral
- Two mappings in connection to Hadamard's inequalities
- On the level-continuity of fuzzy integrals
- On certain integral inequalities related to Hermite-Hadamard inequalities
- A Chebyshev type inequality for fuzzy integrals
- A convolution type inequality for fuzzy integrals
- Characterization of convex functions
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