Convergence of Complex Fuzzy一valued Function Defined in Complex Fuzzy Number

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 eater 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 ).

Abstract licence: CC BY

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