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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
【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。
【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.
【关键词】 模糊值函数;
模糊值区间;
模糊值积分;
【Key words】 Fuzzy-valued functions, Fuzzy number interval; Fuzzy-valued integrable;
【Key words】 Fuzzy-valued functions, Fuzzy number interval; Fuzzy-valued integrable;
- 【文献出处】 河北大学学报(自然科学版) ,JOURNAL OF HEBEI UNIVERSITY(NATURAL SCIENCE EDITION) , 编辑部邮箱 ,1999年02期
- 【分类号】O159
- 【被引频次】2
- 【下载频次】97