| 模糊粗糙集及粗糙模糊集的模糊度 |
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| 引用本文： | 程日失,莫智文.模糊粗糙集及粗糙模糊集的模糊度[J].模糊系统与数学,2001,15(3):15-18. |
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| 作者姓名： | 程日失 莫智文 |
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| 作者单位： | 四川师范大学数学与软件科学学院 |
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| 基金项目： | 国家自然科学基金资助项目 (6 980 30 0 7) |
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| 摘 要： | 1965年，Zadeh提出了Fuzzy集理论，1982年，Z.Pawlak提出Rough集理论。将二者结合而形成的模糊粗糙集（FR集）及粗糙模糊集（RF集）近年来越来越受到国际学术界的关注。本文所研究的FR集及RF集的模糊度，是对FR集及RF集模糊程度的一种度量，进而引进了相应的明可夫斯基距离，明可夫斯基模糊度和Shannon模糊度。
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| 关 键 词： | 模糊集 粗糙集 模糊粗糙集 粗糙模糊集 模糊度 明可夫斯基距离 Shannon模糊度 |
| 文章编号： | 1001-7402(2001)03-0015-04 |
| 修稿时间： | 2000年11月10 |
The Fuzzy-degree of Fuzzy Rough Sets and Rough Fuzzy Sets |
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| CHENG Yi,MO Zhi wen.The Fuzzy-degree of Fuzzy Rough Sets and Rough Fuzzy Sets[J].Fuzzy Systems and Mathematics,2001,15(3):15-18. |
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| Authors: | CHENG Yi MO Zhi wen |
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| Abstract: | The concept of fuzzy sets was introduced by Zadeh in 1965 and subsequently the notion of rough sets was introduced by Pawlak in 1982,the combination of them formed fuzzy rough sets and rough fuzzy sets, which have been followed with much attention by international academic circles. The paper discusses the fuzzy degree of fuzzy rough sets and rough fuzzy sets, which is a measure of fuzzy level. |
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| Keywords: | Fuzzy Sets Rough Sets Fuzzy Rough Sets Rough Fuzzy Sets Fuzzy degree |
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