| 双枝模糊集模糊性度量 |
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| 引用本文： | 刘纪芹,史开泉.双枝模糊集模糊性度量[J].系统工程与电子技术,2007,29(5):732-736. |
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| 作者姓名： | 刘纪芹 史开泉 |
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| 作者单位： | 1. 山东财政学院统计与数理学院,山东,济南,250014
2. 山东大学数学与系统科学学院,山东,济南,250100 |
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| 摘 要： | 利用双枝模糊集概念,提出了双枝模糊集、上枝模糊集、下枝模糊集的模糊度概念。通过双枝模糊集模糊度的理论定义,给出了有限论域上双枝模糊集、上枝模糊集、下枝模糊集模糊度的构造性定理,利用这些定理进一步给出了双枝模糊集、上枝模糊集、下枝模糊集模糊度的几种具体计算公式。通过讨论得出单枝模糊集的模糊度是双枝模糊集模糊度的特例。
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| 关 键 词： | 双枝模糊集 单枝模糊集 模糊度 |
| 文章编号： | 1001-506X(2007)05-0732-05 |
| 修稿时间： | 2006年3月2日 |
Measures of fuzziness in both-branch fuzzy sets |
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| LIU Ji-qin,SHI Kai-quan.Measures of fuzziness in both-branch fuzzy sets[J].System Engineering and Electronics,2007,29(5):732-736. |
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| Authors: | LIU Ji-qin SHI Kai-quan |
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| Abstract: | Using the concept of both-branch fuzzy sets,the concepts of fuzziness degree in both-branch fuzzy sets,upper-branch fuzzy sets and lower-branch fuzzy sets are put forward.Using the definition of fuzziness degree in both-branch fuzzy sets,the constructive theorems of fuzziness degree in finite universe are given.Using these theorems,several concrete calculating formulas of fuzziness degree are given.The result shows that the fuzziness degree in Zadeh fuzzy sets is the special case of that in both-branch fuzzy sets. |
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| Keywords: | both-branch fuzzy sets single-branch fuzzy sets fuzziness degree |
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