| Value集的模糊嫡、相似度量和距离测度的关系 |
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| 引用本文： | 王昌.Value集的模糊嫡、相似度量和距离测度的关系[J].计算机科学,2010,37(10):221-224,274. |
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| 作者姓名： | 王昌 |
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| 作者单位： | 西北大学数学与科学史研究中心,西安,710127;西北大学数学系,西安,710127 |
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| 基金项目： | 本文受国家自然科学基金(10771169)资助。 |
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| 摘 要： | Vague集理论在各个领域中的广泛应用引起越来越多学者的注意，而模糊墒、相似度量和距离测度是其中的3个关键技术。目前已提出多种关于Vague集的模糊嫡、相似度量和距离测度的计算方法，但这些研究都没有讨论这3个基本概念之间的联系。基于Vague集的模糊嫡、相似度量和距离测度的公理化定义，给出了三者之间的相互诱导关系，建立了模糊墒、相似度量和距离测度之间的联系。
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| 关 键 词： | Vague集，模糊嫡，相似度量，距离测度 |
| 收稿时间： | 2009/11/24 0:00:00 |
| 修稿时间： | 2/9/2010 12:00:00 AM |
Relations between Fuzzy Entropy, Similarity Measure and Distance Measure of Vague Sets |
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| WANG Chang.Relations between Fuzzy Entropy, Similarity Measure and Distance Measure of Vague Sets[J].Computer Science,2010,37(10):221-224,274. |
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| Authors: | WANG Chang |
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| Affiliation: | (Center for the History of Mathematics and Science,Northwest University,Xi'an 710127,China)(Department of Mathematics, Northwest University,Xi'an 710127,
China) |
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| Abstract: | Vague sets theory has gained great attention from more and more researchers for its applications in various fields, fuzzy entropy, similarity measure and distance measure are the most important technologies in Vague sets. Nowadays, several formula about fuzzy entropy, similarity measure and distance measure of Vague sets have been proposed,but all of these researches did not discuss the relations between these measures. This paper based on the axiom definitions of fuzzy entropy, similarity measure and distance measure of Vague sets, gave mutual induced relations between these measures. Complete relations between fuzzy entropy, similarity measure and distance measure were established. |
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| Keywords: | Vague sets Fuzzy entropy Similarity measure Distance measure |
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