模糊值函数在模糊数积分区间上的积分

The Integral of Fuzzy-Valued Function on Fuzzy Interval

模糊值函数在模糊数积分区间［Ａ～，Ｂ～］上的积分是Ⅱ型模糊集。已经证明了Ⅱ型模糊集不是软代数，给出了Ⅱ型模糊集用Ⅰ型模糊集表示的表现与分解定理，进而证明了这个积分具有良好的代数性质。

The integral of fuzzy-valued function on fuzzy interval is a fuzzy set of type2.It is proved that the fuzzy set of type 2 is not a soft algebra.The author presents the decomposition theorem and the prosentation theorem that the fuzzy set of type 2 can be decomposed into sets of type 1 and proved that this integrable possesses many fine algebraic properties.