F基数与连续统假设

F CARDINALITY AND CONTINUUM HYPOTHESIS

以模糊映射为基础给出了模糊集基数的定义，不但得到了有关基数的大部分结论，而且有其自身的特有性质；特别对于连续统假设这一世界难题可能有新的启示。

The definition of the cardinality of fuzzy sets is given based on the fuzzy mappings,and not only a large part of results with respect to the ordinary cardinality are obtained, but also some special properties of F cardinality are showed.Especially from the F cardinality, some new ideas on the continuum hypothesis are shown.