| 新的模糊似然函数 |
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| 引用本文： | 黄国顺,刘云生.新的模糊似然函数[J].华中师范大学学报(自然科学版),2005,39(1):20-23. |
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| 作者姓名： | 黄国顺 刘云生 |
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| 作者单位： | 华中科技大学,计算机科学与技术学院,武汉,430074 |
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| 基金项目： | 广东省自然科学基金资助项目(034071). |
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| 摘 要： | 模糊似然函数是刻画两个模糊集之间相似程度的重要工具，众多学者给出了多种形式的计算方法，但由于实际问题的复杂性，有些方法在某些情况下会产生违反直觉的结论．首先就闫德勤在2001年建议的方法进行讨论，然后证明了一个引理，提出一种新的模糊似然函数，其本质是由模糊集合间l^p距离导出的贴近度．与相关公式比较，发现它们能导出相同的模糊熵，最后给出一个它在模式识别中的应用实例．
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| 关 键 词： | 模糊似然函数 l^p距离 模糊熵 模式识别 |
| 文章编号： | 1000-1190(2005)01-0020-04 |
A new kind of fuzzy likelihood function |
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| HUANG Guo-shun,LIU Yun-sheng.A new kind of fuzzy likelihood function[J].Journal of Central China Normal University(Natural Sciences),2005,39(1):20-23. |
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| Authors: | HUANG Guo-shun LIU Yun-sheng |
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| Abstract: | Fuzzy likelihood function is one of the important tools to describe the degree of similarity between fuzzy sets. Lots of researchers have developed many methods. However, some of them can result against our feeling in some special cases because of the complexity of practical problems. At first, the method proposed by Yan Deqing in 2001 is discussed and its drawbacks are pointed out . A lemma is proved and then a new fuzzy likelihood function is presented. It is just a nearness degree derived from the l\+p distance between fuzzy sets. Compared with related formulations, it is found that they can induce the same fuzzy entropy. Finally, an application example of it in pattern recognition is showed. |
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| Keywords: | Fuzzy likelihood l\+p distance Fuzzy entropy pattern recognition |
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