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

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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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Authors and Affiliations

  1. School of Information, Renmin University of China, Zhongguancun Street 59, Beijing, 100872, China

    Rui-Sheng Wang

  2. College of Mathematics and Computers, Hebei University, Baoding, 071002, China

    Ming-Hu Ha

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  1. Rui-Sheng Wang
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  2. Ming-Hu Ha
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Correspondence to Rui-Sheng Wang.

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Wang, RS., Ha, MH. On the properties of sequences of fuzzy-valued Choquet integrable functions. Fuzzy Optim Decis Making 7, 417–431 (2008). https://doi.org/10.1007/s10700-008-9040-3

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  • DOI: https://doi.org/10.1007/s10700-008-9040-3

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