| 直觉模糊集的广义模糊熵 |
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| 引用本文： | 吕印超,郭嗣琮.直觉模糊集的广义模糊熵[J].模糊系统与数学,2011,25(4). |
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| 作者姓名： | 吕印超 郭嗣琮 |
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| 作者单位： | 辽宁工程技术大学理学院数学与系统工程研究所,辽宁阜新,123000 |
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| 基金项目： | 辽宁省教育厅高等学校科学研究项目(20060377) |
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| 摘 要： | 利用模糊补定义了直觉模糊集的广义补集,并讨论了直觉模糊集广义补集的一些性质。在此基础上,给出了直觉模糊集广义模糊熵的公理化定义及几个直觉模糊集广义模糊熵的具体计算公式。此外,本文还研究了直觉模糊集的广义模糊熵与相似性测度之间的关系。
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| 关 键 词： | 直觉模糊集 模糊补 广义模糊熵 相似性测度 |
Generalized Fuzzy Entropy of Intuitionistic Fuzzy Sets |
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| LV Yin-chao,GUO Si-zong.Generalized Fuzzy Entropy of Intuitionistic Fuzzy Sets[J].Fuzzy Systems and Mathematics,2011,25(4). |
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| Authors: | LV Yin-chao GUO Si-zong |
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| Institution: | LV Yin-chao,GUO Si-zong(Institute of Mathematics and Systems Science,College of Science,Liaoning Technical University,Fuxin 123000,China) |
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| Abstract: | In this paper,the generalized complementary sets of intuitionistic fuzzy sets are defined by using fuzzy complement,and some of their properties are discussed.Based on the definition and discussion,the axiomatic definition of generalized fuzzy entropy of intuitionistic fuzzy sets is given.Meanwhile,several formulas are given to calculate generalized fuzzy entropy of intuitionistic fuzzy sets.Additionally,the relationship between generalized fuzzy entropy and similarity measure is also studied. |
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| Keywords: | Intuitionistic Fuzzy Sets Fuzzy Complement Generalized Fuzzy Entropy Similarity Measure |
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