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Convergence of Complex Fuzzy-valued Function Defined in Complex Fuzzy Number

BI Shu-juan;XU Ya-lan;CAO Hui;School of Information Engineering,Harbin Institute;  
The author defines all fuzzy number which are symmetric respect to y-axis as zero fuzzy number,on the basis,the author defines the limitation of complex fuzzy-valued function and discusses the properties of convergence.This pater obtains a series of results about limited complex fuzzy-valued function,including the limitation of complex fuzzy-valued function is unique,the limited complex fuzzy-valued function has local boundedness and local protection,as well as the linear operation properties of the limitation.Furthermore,the convergence criterion and the Cauchy convergence criterion of complex fuzzy-valued function are given.In this paper,it is shown that the complex fuzzy-valued function is defined in a complex fuzzy set F(C) which valued the complex fuzzy number in F(C)(set of all complex fuzzy number).
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