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


          

刊名:Fuzzy Optimization and Decision Making
作者:Rui-Sheng Wang(School of Information, Renmin University of China, Zhongguancun Street 59, Beijing 100872, China. e-mail: wrs@ruc.edu.cn)
Ming-Hu Ha
刊号:519LB020
ISSN:1568-4539
出版年:2008
年卷期:2008, vol.7, no.4
页码:417-431
总页数:15
分类号:O22
关键词:Uniform (C)-integrabilityUniform absolute continuityUniform boundednessConvergence theorem
参考中译:
语种:eng
文摘: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.