| 直觉模糊集的扩展原理 |
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| 引用本文： | 张成,张帅,刘自新.直觉模糊集的扩展原理[J].模糊系统与数学,2011,25(2). |
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| 作者姓名： | 张成 张帅 刘自新 |
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| 作者单位： | 大连大学,信息工程学院,辽宁,大连,116622 |
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| 基金项目： | 辽宁省教育厅高等学校科学研究项目 |
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| 摘 要： | 基于文1]给出的直觉模糊集的截集、分解定理和表现定理,利用模糊集的扩展原理,本文建立了直觉模糊集的扩展原理.首先,给出了直觉模糊集的扩展原理及其等价形式;其次,讨论了直党模糊集的扩展原理的有关性质;最后,研究了复合函数的直觉模糊集扩展原理及其性质.
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| 关 键 词： | 扩展原理 截集 直觉模糊集 直觉模糊集的扩展原理 |
Extension Principle on Intuitionistic Fuzzy Sets |
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| ZHANG Cheng,ZHANG Shuai,LIU Zi-xin.Extension Principle on Intuitionistic Fuzzy Sets[J].Fuzzy Systems and Mathematics,2011,25(2). |
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| Authors: | ZHANG Cheng ZHANG Shuai LIU Zi-xin |
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| Institution: | ZHANG Cheng,ZHANG Shuai,LIU Zi-xin(College of Information Engineering,Dalian University,Dalian 116622,China) |
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| Abstract: | Based on the cut sets,decomposition theorem and representation of an intuitionistic fuzzy set(IFS) in paper 1],by the use of the extension principle of fuzzy set,the extension principle of IFS are established in this paper.Firstly,the extension principle of IFS and their equivalence forms are given;Secondly,the properties of extension principle of IFS are discussed;Finally,the IFS's extension principle of the composite functions and their properties are acquired. |
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| Keywords: | Extension Principle Cut Sets Intuitionistic Fuzzy Sets Extension Principle of Intuitionistic Fuzzy Sets |
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