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中文摘要：
Atanassov教授在给出区间数直觉模糊集算子的定义以后曾给出断语：直觉模糊集算子满足的结论,都可以推广到相应的区间数直觉模糊集算子。本文详细分析多条直觉模糊集算子的性质与相应区间数直觉模糊集算子的性质之间的关系,证明这些直觉模糊集算子的性质都不能推广到区间数直觉模糊集算子,因而对Atanassov的论断进行了澄清。
英文摘要：
Interval valued intuitionistic fuzzy sets（IVIFSs） is an extention of intuitionistic fuzzy sets（IFS）.Similarly,operators over IVIFS may be seen as being extended from the operators of IFSs.Hence,we wish we can also extend the properties satisfied by the operators of IFS to those of IVIFS.In fact,after proposing the operators of IVIFS,Atanassov had given an assertion in [1] that the properties occupied by the operators of IFS are all held by the corresponding operators of IVIFS.However,after analyzing the properties of the operators of IFS and those of the corresponding operators of IVIFS in detail, we conclude that such assertion is not correct.
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