On the properties of sequences of fuzzy-valued Choquet integrable functions |
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Authors: | Rui-Sheng Wang Ming-Hu Ha |
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Institution: | (1) School of Information, Renmin University of China, Zhongguancun Street 59, Beijing, 100872, China;(2) College of Mathematics and Computers, Hebei University, Baoding, 071002, China |
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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. |
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Keywords: | Uniform (C)-integrability Uniform absolute continuity Uniform boundedness Convergence theorem |
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