模糊复测度空间上可测函数列几种收敛性之间的关系

Relation on Convergence of Measurable Functions Sequence on Fuzzy Complex Measure Space

作为经典复测度和模糊测度的推广,研究模糊复测度及模糊复测度空间上可测函数列几种收敛性之间的关系。在模糊复测度空间上得到了Egoroff定理、Lebesgue定理和Riesz定理等重要结果。为模糊复分析的深入研究打下一定基础。

As the extension of classical complex measure and fuzzy measure,we research fuzzy complex measure and the relation on convergence of measurable functions sequence on fuzzy complex measure space. We obtain some important results on fuzzy complex measure space, such as Egoroff theorem, Lebesgue theorem, Riesz theorem etc. It builds the certain foundation for the intensive research of fuzzy complex analysis.