The Absolute Continuity of Fuzzy Complex Measures

In this paper, we investigate the extension of classical complex measure and fuzzy measure -fuzzy complex measure, and show the conception of absolute continuity of fuzzy complex measure which is an improvement of the absolute continuity in [3], then we get a series of equivalent proposition, and give a metric space. At last, we define the auto continuity and property (P), and discuss the transmissibility of absolute continuity and property (P) on metric space. It will build the certain foundation for the intensive research of fuzzy complex analysis.