Liapunov-type inequality for universal integral

Authors:
Hamzeh Agahi;Adel Mohammadpour;Radko Mesiar;S. Mansour Vaezpour
Affiliations:
Department of Statistics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran 15914, Iran;Department of Statistics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran 15914, Iran;Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, SK-81368 Bratislava, Slovakia and Institute of Information Theory and Automation, ...;Department of Statistics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran 15914, Iran
Venue:
International Journal of Intelligent Systems
Year:
2012

Citing 10
Cited 1

Two families of fuzzy integrals

Fuzzy Sets and Systems
Fuzzy Measure Theory

Fuzzy Measure Theory
Domination of aggregation operators and preservation of transitivity

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Relations among univariate aging, bivariate aging and dependence for exchangeable lifetimes

Journal of Multivariate Analysis
Fuzzy integrals and linearity

International Journal of Approximate Reasoning
Two integrals and some modified versions - Critical remarks

Fuzzy Sets and Systems
Short communication: Nonlinearity of the fuzzy integral

Fuzzy Sets and Systems
Fritz Carlson's inequality for fuzzy integrals

Computers & Mathematics with Applications
A universal integral as common frame for choquet and Sugeno integral

IEEE Transactions on Fuzzy Systems
General Chebyshev type inequalities for universal integral

Information Sciences: an International Journal

On the Jensen type inequality for generalized Sugeno integral

Information Sciences: an International Journal

Quantified Score

Hi-index	0.00

Visualization

Abstract

The Choquet integral and the Sugeno integral provide a useful tool in many problems in engineering and social choice where the aggregation of data is required. In this paper, previous results of Hong (Nonlinear Analysis 2011 74:7296–7303) are improved by relaxing some of their requirements. Carlson's, Sandor's, Bushell–Okrasinski's type inequalities and Fatou's lemma for universal integral are studied in a rather general form, thus generalizing some recent results. © 2012 Wiley Periodicals, Inc. © 2012 Wiley Periodicals, Inc.