| 一类新的Vague集间的相似度量方法及其应用 |
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| 引用本文： | 孙义阳,辛小龙. 一类新的Vague集间的相似度量方法及其应用[J]. 计算机工程与应用, 2008, 44(20): 70-72. DOI: 10.3778/j.issn.1002-8331.2008.20.021 |
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| 作者姓名： | 孙义阳 辛小龙 |
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| 作者单位： | 西北大学,数学系,西安,710127;西北大学,数学系,西安,710127 |
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| 摘 要： | 相似度量是研究和应用Vague集的重要工具。首先介绍了Vague集的概念，接着用实例说明已有的Vague集相似度量在某些情况下并不适用，并分析了造成不适用的原因，进而给出了Vague集相似度量的公理化定义，提出了一种新的Vague集之间的相似度量，并将其应用于模式识别中。
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| 关 键 词： | Fuzzy集 Vague集 相似度量 模式识别 |
| 收稿时间： | 2007-10-09 |
| 修稿时间： | 2008-1-16 |
New method of similarity measure between Vague sets and its applications |
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| SUN Yi-yang,XIN Xiao-long. New method of similarity measure between Vague sets and its applications[J]. Computer Engineering and Applications, 2008, 44(20): 70-72. DOI: 10.3778/j.issn.1002-8331.2008.20.021 |
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| Authors: | SUN Yi-yang XIN Xiao-long |
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| Affiliation: | Department of Mathematics，Northwest University，Xi’an 710127，China |
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| Abstract: | Similarity measures are important tools for studying and applying Vague sets.In this paper,we introduce the concept of Vague sets.By using examples,we show that some existing similarity measures are not always suitable for some cases,and the reasons are analyzed as well.Based on the axiom definition of similarity measure between Vague sets,we propose a new similarity measure.Finally,the similarity measure between Vague is applied to pattern recognition. |
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| Keywords: | Fuzzy set Vague set similarity measure pattern recognition |
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