| 普通二型模糊相似度与包含度及其关系 |
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| 引用本文： | 郑高,肖建,蒋强,王梦玲.普通二型模糊相似度与包含度及其关系[J].华中科技大学学报(自然科学版),2011(8):119-123. |
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| 作者姓名： | 郑高 肖建 蒋强 王梦玲 |
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| 作者单位： | 西南交通大学电气工程学院;乐山师范学院物理与电子信息系; |
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| 基金项目： | 国家自然科学基金资助项目(60674057); 中央高校基本科研业务费专项资金资助项目(SWJTU-09ZT11) |
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| 摘 要： | 针对现有的二型模糊系统规则库精简方法不能有效地消除冗余模糊集合的问题,提出了新的普通二型模糊相似度与包含度.首先,基于2种模糊性测度的公理化定义,提出了计算公式;然后,讨论了普通二型模糊包含度的性质,并提出了2种测度的相互转换定理;最后,通过实例验证了2种新测度的性能,并将提出的普通二型模糊相似度用于高斯普通二型模糊集合的聚类分析,聚类结果由不同α-水平上的层次聚类树组成,可以合理地区分这些集合.
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| 关 键 词： | 二型模糊集合 模糊性测度 相似度 包含度 聚类 |
Similarity and inclusion measures between general type-2 fuzzy sets and their relations |
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| Zheng Gao Xiao Jian Jiang Qiang, Wang Mengling.Similarity and inclusion measures between general type-2 fuzzy sets and their relations[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,2011(8):119-123. |
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| Authors: | Zheng Gao Xiao Jian Jiang Qiang Wang Mengling |
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| Institution: | Zheng Gao1 Xiao Jian1 Jiang Qiang1,2 Wang Mengling1(1 School of Electrical Engineering,Southwest Jiaotong University,Chengdu 610031,China,2 Department of Physics and Electric Information,Leshan Teachers College,Leshan 614004,Sichuan China) |
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| Abstract: | To overcome the problem of simplified methods of rule bases of a type-2 fuzzy logic system can not eliminate the harmful effects of redundant fuzzy sets,a similarity measure and an inclusion measure between general type-2 fuzzy sets are proposed.Firstly,based on the selected axiomatic definitions of two fuzzy measures,the computation formulas are given by considering the footprint of uncertainty(FOU) and the secondary membership function.Then, several properties of the proposed inclusion measure are discuss... |
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| Keywords: | type-2 fuzzy set fuzzy measure similarity measure inclusion measure clustering |
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