摘要
本文在模糊映射 ̄[1]的基础上给出了模糊集基数的定义,它把普通集的基数作为特款;不但得到有关基数的大部分结论,而且有其自身的特殊性质;特别,对于连续统假设这一世界难题可能有新的启示.
In this paper,we give a reasonable definition for the cardinality of fuzzy sets,anddiscuss in detail the properties.Moreover,from the fuzzy cardinality we may have somenew ideas on the continuum hypothesis which is a well-known open problem.
基金
国家自然科学基金