On the properties of sequences of fuzzy-valued Choquet integrable functions

Authors:
Rui-Sheng Wang;Ming-Hu Ha
Affiliations:
School of Information, Renmin University of China, Beijing, China 100872;College of Mathematics and Computers, Hebei University, Baoding, China 071002
Venue:
Fuzzy Optimization and Decision Making
Year:
2008

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Abstract

In this paper, we focus on investigating the properties of sequences of fuzzy-valued Choquet (for short, (C)-) integrable functions. Firstly, the concept of uniform (C)-integrabiliy and other new concepts like uniform absolute continuity and uniform boundedness for sequences of fuzzy-valued (C)-integrable functions are introduced and then the relations among them are discussed. As the applications of these concepts, we also present several convergence theorems for sequences of fuzzy-valued (C)-integrable functions by using uniform (C)-integrability.