The Sugeno fuzzy integral of log-convex functions

DOI10.1186/s13660-015-0862-6zbMath1336.28015OpenAlexW2172812334WikidataQ57674852 ScholiaQ57674852MaRDI QIDQ264364

Manuel de la Sen, Madjid Eshaghi-Gordji, Sadegh Abbaszadeh

Publication date: 31 March 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-015-0862-6

zbMATH Keywords

log-convex functionseminormed Sugeno fuzzy integralSugeno fuzzy integralthe Hadamard inequality

Mathematics Subject Classification ID

Convexity of real functions in one variable, generalizations (26A51) Fuzzy measure theory (28E10) Fuzzy real analysis (26E50)

Related Items (10)

The Choquet integral of log-convex functions ⋮ Hadamard integral inequality for the class of semi-harmonically convex functions ⋮ An equivalent condition to the Jensen inequality for the generalized Sugeno integral ⋮ Hadamard Integral Inequality for the Class of Harmonically (γ, η)-Convex Functions ⋮ Unnamed Item ⋮ Jensen-type inequalities for Sugeno integral ⋮ A Sugeno integral inequality of Carleman-Knopp type and some refinements ⋮ The Sugeno integral with respect to \(\alpha\)-preinvex functions ⋮ Nonlinear integrals and Hadamard-type inequalities ⋮ Hölder type integral inequalities with different pseudo-operations

Cites Work

• General Chebyshev type inequalities for universal integral
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• The Hermite-Hadamard inequality for log-convex functions
• A Cauchy-Schwarz type inequality for fuzzy integrals
• H-continuity of fuzzy measures and set defuzzification
• The fuzzy integral for monotone functions
• Chebyshev inequality for Sugeno integrals
• Hölder type inequality for Sugeno integral
• Two families of fuzzy integrals
• The fuzzy integral
• Hadamard's inequality for \(r\)-convex functions
• Triangular norms
• General Minkowski type inequalities for Sugeno integrals
• On Chebyshev type inequalities for generalized Sugeno integrals
• A Jensen type inequality for fuzzy integrals
• A Chebyshev type inequality for fuzzy integrals
• SUGENO INTEGRAL AND GEOMETRIC INEQUALITIES
• A Calculus for Log-Convex Interference Functions
• Convex functions and their applications. A contemporary approach
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