局部紧空间上的正则Fuzzy测度

Regular Fuzzy measure on locally compact space

研究了局部紧Hausdorff空间上正则Fuzzy测度的性质 .在一致自连续的条件下 ,正则Fuzzy测度趋于零的集 ,其可数并的正则Fuzzy测度趋于零 ,正则Fuzzy测度的和与积是正则Fuzzy测度 .对于正则Fuzzy测度、经典测度空间上的Lusin定理在一定条件下成立 .

The properties of regular fuzzy measure on locally compact Hausdorff space are studied. Under the uniform autocontinuity condition, regular fuzzy measure of a subset approaches zero and so does the countable unions′. The sum or product of regular fuzzy measures is regular fuzzy measure. For regular fuzzy measure, Lusin′s theorem on classical measure space holds under certain condition.