Stochastic convergence, uniform integrability and convergence in mean on fuzzy measure spaces

Authors:
Inés Couso;Susana Montes;Pedro Gil
Affiliations:
Department of Statistics and Operation Research, University of Oviedo, C/Calvo Sotelo, s/n Oviedo, Spain;Department of Statistics and Operation Research, University of Oviedo, C/Calvo Sotelo, s/n Oviedo, Spain;Department of Statistics and Operation Research, University of Oviedo, C/Calvo Sotelo, s/n Oviedo, Spain
Venue:
Fuzzy Sets and Systems
Year:
2002

Citing 8
Cited 1

Decision making problems in a general environment

Fuzzy Sets and Systems
Representation of fuzzy measures through probabilities

Fuzzy Sets and Systems
On the pseudo-autocontinuity of fuzzy measures

Fuzzy Sets and Systems
Characterization and comparison of Sugeno and Choquet integrals

Fuzzy Sets and Systems
Property (S) of fuzzy measure and Riesz's theorem

Fuzzy Sets and Systems
Convergence of sequence of measurable functions on fuzzy measure spaces

Fuzzy Sets and Systems
Pseudometric generating property and autocontinuity of fuzzy measures

Fuzzy Sets and Systems
Fuzzy Measure Theory

Fuzzy Measure Theory

Generalized Lebesgue integral

International Journal of Approximate Reasoning

Quantified Score

Hi-index	0.20

Visualization

Abstract

The paper deals with the convergence of sequences of measurable functions on fuzzy measure spaces. A classical result that relates the uniform integrability plus stochastic convergence with convergence in mean is extended to this case, where the additivity property of measures is not required. We also investigate the sufficient and necessary conditions that fuzzy measures must satisfy in the Dominated Convergence theorem.