On the Jensen type inequality for generalized Sugeno integral

Authors:
Marek Kaluszka;Andrzej Okolewski;Michal Boczek
Affiliations:
-;-;-
Venue:
Information Sciences: an International Journal
Year:
2014

Citing 10
Cited 0

On the level-continuity of fuzzy integrals

Fuzzy Sets and Systems
Fuzzy integral-based perceptron for two-class pattern classification problems

Information Sciences: an International Journal
A Jensen type inequality for fuzzy integrals

Information Sciences: an International Journal
Fuzzy measures and integrals in evaluation of strategies

Information Sciences: an International Journal
General Chebyshev type inequalities for Sugeno integrals

Fuzzy Sets and Systems
H-continuity of fuzzy measures and set defuzzification

Fuzzy Sets and Systems
General Chebyshev type inequalities for universal integral

Information Sciences: an International Journal
On some advanced type inequalities for Sugeno integral and T-(S-)evaluators

Information Sciences: an International Journal
The -Index and the Number of Citations: Two Fuzzy Integrals

IEEE Transactions on Fuzzy Systems
Liapunov-type inequality for universal integral

International Journal of Intelligent Systems

Quantified Score

Hi-index	0.07

Visualization

Abstract

We prove necessary and sufficient conditions for the validity of Jensen type inequalities for generalized Sugeno integral. Our proofs make no appeal to the continuity of neither the fuzzy measure nor the operators. For several choices of operators, we characterize the classes of functions for which the corresponding inequalities are satisfied.