Fritz Carlson's inequality for fuzzy integrals

DOI10.1016/j.camwa.2010.01.045zbMath1193.28015OpenAlexW1979576208MaRDI QIDQ988242

Kishin Sadarangani, Josefa Caballero

Publication date: 26 August 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.01.045

zbMATH Keywords

Sugeno integralnondecreasing function

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Fuzzy measure theory (28E10)

Related Items (22)

Hermite-Hadamard type inequality for Sugeno integrals ⋮ Generalization of the Lyapunov type inequality for pseudo-integrals ⋮ A Version of Favard's Inequality for the Sugeno Integral ⋮ Unnamed Item ⋮ On Carlson's inequality for Sugeno and Choquet integrals ⋮ A Hadamard-type inequality for fuzzy integrals based on \(r\)-convex functions ⋮ Related Fritz Carlson type inequalities for Sugeno integrals ⋮ General Barnes-Godunova-Levin type inequalities for Sugeno integral ⋮ A note on a Carlson-type inequality for the Sugeno integral ⋮ Generalizations of Related Fritz Carlson Type Inequalities for Fuzzy Integrals ⋮ A Liapunov type inequality for Sugeno integrals ⋮ Unnamed Item ⋮ Sandor's inequality for Sugeno integrals ⋮ Hölder type inequalities for Sugeno integrals under usual multiplication operations ⋮ General related inequalities to Carlson-type inequality for the Sugeno integral ⋮ Unnamed Item ⋮ Chebyshev type inequalities for general fuzzy integrals ⋮ General Fritz Carlson's type inequality for Sugeno integrals ⋮ Barnes-Godunova-Levin type inequality of the sugeno integral for an \((\alpha,m)\)-concave function ⋮ Sandor type inequalities for Sugeno integral with respect to general \((\alpha,m,r)\)-convex functions ⋮ Berwald-type inequalities for Sugeno integral with respect to \({({\alpha,m,r})_{g}}\)-concave functions ⋮ Some integral inequalities for fuzzy-interval-valued functions

Cites Work

• Unnamed Item
• Unnamed Item
• H-continuity of fuzzy measures and set defuzzification
• General Chebyshev type inequalities for Sugeno integrals
• The fuzzy integral for monotone functions
• Markov type inequalities for fuzzy integrals
• Sugeno integral of monotone functions based on Lebesgue measure
• A note on the Chebyshev-type inequality of Sugeno integrals
• The fuzzy integral
• On the level-continuity of fuzzy integrals
• A Chebyshev type inequality for fuzzy integrals
• A convolution type inequality for fuzzy integrals
• A Note on Two Inequalities

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