| At present, the fuzzy complex analysis along two different directions as there are twodifferent forms of expression on the fuzzy complex number, that is complex fuzzy number andfuzzy complex number. And both plural forms are non-uniform. To solve this problem, we limitthe complex number to the fuzzy set with a symmetrical structured. And proposed the definitionof fuzzy complex structured element, given the analytical expressions and its operation using thismethod, and collectively referred to as fuzzy complex number.In addition, the analytical expression of fuzzy complex analysis problem hasn’t beenresolved in the existing research. We use the fuzzy structured element theory and generalizedlimit operation to give the function analytic expression, further study of its continuity andtheorem of derivative, and discuss the necessary and sufficient conditions, obtain functionintegral, discuss the nature and method of calculation. Finally, propose the Cauchy integralformula and theorem, discuss the fuzzy harmonic function and given the definition of complexfuzzy power series. |
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