Fuzzy集合上Fuzzy测度的绝对连续性及扩张

Absolute Continuity and Extension of Fuzzy Measur on Fuzzy Set

文[1]在经典集合类中,研究了一类特殊的Fuzzy测度的扩张,给出了从一个代数到包含它的σ-代数扩张的条件、本文在Fuzzy集合类中得到了文[1]中的所有结论,从而推广了文[1]的结果。

In this paper, we shall discuss the extension problem for a special class of fuzzy measure on fuzzy set and give a condition that they can be extended from a fuzzy algebra onto a o-fuzzy algebra containiny it.