| 模糊度定义的不一致性及其理论分析 |
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| 引用本文： | 张运杰,梁德群.模糊度定义的不一致性及其理论分析[J].模糊系统与数学,2003,17(3):38-48. |
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| 作者姓名： | 张运杰 梁德群 |
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| 作者单位： | 1. 大连海事大学,数理系,辽宁,大连,116026
2. 大连海事大学,信息工程学院,辽宁,大连,116026 |
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| 基金项目： | 国家自然科学基金资助项目 (6 0 174 0 14 )，大连海事大学科研基金资助项目 |
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| 摘 要： | 指出模糊度定义的不一致性，并通过实例进行验证；从理论上分析模糊度定义的不一致性产生的原因，指出当模糊度理论在图像处理中应用时模糊度定义的不一致性可能会产生的影响；给出一个比较合理的模糊度定义。文中提出的问题是在工程应用过程中发现的新问题，所做的工作也只是初步的。
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| 关 键 词： | 模糊度 不一致性 定义 模糊集 图像处理 计算公式 偏序集 距离 |
| 文章编号： | 1001-7402(2003)03-0038-11 |
| 修稿时间： | 2002年3月7日 |
Nonconsitency of Measure of Fuzziness and Theoretic Analysis |
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| ZHANG Yun jie ,LIANG De qun.Nonconsitency of Measure of Fuzziness and Theoretic Analysis[J].Fuzzy Systems and Mathematics,2003,17(3):38-48. |
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| Authors: | ZHANG Yun jie LIANG De qun |
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| Institution: | ZHANG Yun jie 1,LIANG De qun 2 |
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| Abstract: | In this paper, firstly the authors indicate nonconsitency of definitions of measure of fuzziness, and validate that fact by some examples. Secondly, the authors analyse theoretically the causes that produce nonconsitency of definitions of measure of fuzziness, and point out possible negative influence from nonconsitency of definitions of measure of fuzziness when theory of measure of fuzziness applies to image processing. Finally, a rational definition of measure of fuzziness has been given. The nonconsitency of definitions of measure of fuzziness is a new problem encountered by authors during their studies about the application of fuzzy theory to engineering, and our work is just early stage. |
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| Keywords: | Measure of Fuzziness Distance Measure Nonconsitency of Measure of Fuzziness |
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