Adaptation the theory of complex numbers to the fuzzy sets

The theory of fuzzy sets, in comparison with classical mathematical theories, is concerning young as it is based only in the middle of the last century by L.A. Zadeh, as consequence, this theory has found the engineering application considerably after other mathematical theories. Attempt of creation of symbiosis of theories of complex numbers and fuzzy sets is made, keeping features of both mathematical theories. The basic expressions for a conclusion of fuzzy complex number and also an fuzzy polar corner (phase) are resulted in article. It is considered small example with use of described expressions. Interpretations of both mathematical theories in electrotechnical calculations are given, mathematical calculations and expressions speak graphically.