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模糊值函数在模糊数积分区间上的积分
引用本文:齐思刚. 模糊值函数在模糊数积分区间上的积分[J]. 河北大学学报(自然科学版), 1999, 0(2)
作者姓名:齐思刚
作者单位:天津南开职工大学
摘    要: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。

关 键 词:模糊值函数  模糊值区间  模糊值积分

The Integral of Fuzzy-Valued Function on Fuzzy Interval
Author QI Si_gang. The Integral of Fuzzy-Valued Function on Fuzzy Interval[J]. Journal of Hebei University (Natural Science Edition), 1999, 0(2)
Authors:Author QI Si_gang
Abstract: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.
Keywords:Fuzzy-valued functions   Fuzzy number interval  Fuzzy-valued integrable
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