Asymmetric integral as a limit of generated Choquet integrals based on absolutely monotone real set functions

Authors:
Biljana Mihailović;Endre Pap
Affiliations:
Faculty of Technical Sciences, University of Novi Sad, Trg Dositeja Obradovića 6, 21000 Novi Sad, Serbia;Department of Mathematics and Informatics, University of Novi Sad, Trg Dositeja Obradovića 4, 21000 Novi Sad, Serbia and Óbuda University, Doberdó út 6, H-1034 Budapest, Hungar ...
Venue:
Fuzzy Sets and Systems
Year:
2011

Citing 15
Cited 0

A study on subjective evaluations of printed color images

International Journal of Approximate Reasoning
Non-monotonic fuzzy measures and the Choquet integral

Fuzzy Sets and Systems
Idempotent integral as limit of g-integrals

Fuzzy Sets and Systems - Special issue on fuzzy measures and integrals
Structure of uninorms

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Fundamentals of Uncertainty Calculi with Applications to Fuzzy Inference

Fundamentals of Uncertainty Calculi with Applications to Fuzzy Inference
Fuzzy Measure Theory

Fuzzy Measure Theory
Aggregation operators: new trends and applications

Aggregation operators: new trends and applications
Fuzzy measures and integrals in evaluation of strategies

Information Sciences: an International Journal
Pseudo-Riemann-Stieltjes integral

Information Sciences: an International Journal
Aggregation Functions (Encyclopedia of Mathematics and its Applications)

Aggregation Functions (Encyclopedia of Mathematics and its Applications)
On the qualitative comparison of decisions having positive and negative features

Journal of Artificial Intelligence Research
Generalization of the Jensen inequality for pseudo-integral

Information Sciences: an International Journal
The balancing Choquet integral

Fuzzy Sets and Systems
Sugeno integral based on absolutely monotone real set functions

Fuzzy Sets and Systems
An axiomatic approach of the discrete Choquet integral as a tool to aggregate interacting criteria

IEEE Transactions on Fuzzy Systems

Quantified Score

Hi-index	0.20

Visualization

Abstract

We introduce a generated Choquet integral with respect to absolutely monotone and sign stable set functions. Another type of integrals defined with respect to such a set function is obtained as a limit of an appropriate sequence of generated Choquet integrals.