On autocontinuity and pseudo-autocontinuity of fuzzy complex measures

In this paper, we investigate the extension of classical complex measure and fuzzy measure - fuzzy complex measure, and show the concepts of autocontinuity and pseudo-autocontinuity on fuzzy complex measure. We give the equivalent relation of autocontinuity from above and autocontinuity from below and illuminate it by an example. We verify the equivalent relation of pseudo-autocontinuity from above and pseudo-autocontinuity from below of fuzzy complex measure and give a set of equivalent definitions of pseudo-autocontinuity. It will build the certain foundation for the intensive research of fuzzy complex analysis.