| 关于IVIFS算子与IFS算子关系的讨论 |
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| 引用本文： | 李德清,王加银.关于IVIFS算子与IFS算子关系的讨论[J].模糊系统与数学,2011,25(2). |
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| 作者姓名： | 李德清 王加银 |
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| 作者单位： | 1. 军械工程学院,基础部,河北,石家庄,050003
2. 北京师范大学,数学科学学院,数学与复杂系统教育部重点实验室,北京,100875 |
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| 基金项目： | 国家自然科学基金资助项目，北京师范大学应用数学校级重点学科建设项目 |
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| 摘 要： | Atanassov教授在给出区间教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问数直党模糊集算子.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党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党模糊集算子,因而对Atanassov的论断进行了澄清.
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| 关 键 词： | 直觉模糊集 区间数直党模糊集 区间数直觉模糊集运算算子 |
Discussion on Relationship between the Operators of IVIFS and Those of IFS |
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| LI De-qing,WANG Jia-yin.Discussion on Relationship between the Operators of IVIFS and Those of IFS[J].Fuzzy Systems and Mathematics,2011,25(2). |
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| Authors: | LI De-qing WANG Jia-yin |
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| Affiliation: | LI De-qing1,WANG Jia-yin2(1.Ordnance Engineering College,Shijiazhuang 050003,China,2.School of Mathematical Sciences,Beijing Normal University,Key Laboratoryof Mathematics and Complex System,Ministry of Education,Beijing 100875,China) |
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| Abstract: | 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 pro... |
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| Keywords: | Intuitionistic Fuzzy Set Interval Valued Intuitionistic Fuzzy Set Operator of IFS Operator of IVIFS |
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