Are the Primitives of Fuzzy (K) Integrable Funcations Differentiable Almost Everywhere
Received:April 17, 2001  
Key Words: fuzzy-number   fuzzy-valued function   derivative.  
Fund Project:Supported by National Natural Science Found of China (40235053), Natural Science Foundation of Gausu Province (ZS011-A25-012-Z) and NWNU-KJCXGC212.
Author NameAffiliation
GONG Zeng-tai College of Math. & Info. Sci.
Northwest Normal University
Lanzhou
China
Cold and Arid Regions Environmental and Engineering Research Institute
Chinese Academy of Sciences 
WU Cong-xin Dept. of Math.
Harbin Institute of Technology
Heilongjian
China 
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Abstract:
      In this paper, an example is given. It shows that there exists a fuzzy-valued function which is (K) integrable on [a, 6], but its primitive is not differentiable almost everywhere in [a, b].
Citation:
DOI:10.3770/j.issn:1000-341X.2003.04.006
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