| 扰动模糊集的粗糙度 |
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| 引用本文： | 韩莹,陈森发,陈胜.扰动模糊集的粗糙度[J].高校应用数学学报(A辑),2007,22(4):498-504. |
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| 作者姓名： | 韩莹 陈森发 陈胜 |
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| 作者单位： | 东南大学,系统工程研究所,江苏南京,210018 |
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| 摘 要： | 首先,将扰动模糊集和粗糙集理论相结合,提出了粗糙扰动模糊集的概念并研究了其基本性质.接着,通过引进扰动模糊集水平上、下边界区域的概念,克服了粗糙集理论中普遍存在的两个集合的上近似的交不等于两个集合的交的上近似(两个集合的下近似的并不等于两个集合的并的下近似)的缺陷.最后,定义了依参数的扰动模糊集的粗糙度的定义,讨论了其基本性质.
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| 关 键 词： | 扰动模糊集 粗糙集 粗糙扰动模糊集 水平上、下边界区域 粗糙度 |
| 文章编号： | 1000-4424（2007）04-0498-07 |
| 收稿时间： | 2006-09-04 |
| 修稿时间： | 2006年9月4日 |
Roughness of disturbing fuzzy sets |
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| HAN Ying,CHEN Sen-fa,CHEN Sheng.Roughness of disturbing fuzzy sets[J].Applied Mathematics A Journal of Chinese Universities,2007,22(4):498-504. |
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| Authors: | HAN Ying CHEN Sen-fa CHEN Sheng |
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| Institution: | Institute of Systems Engineering , Southeast Univ., Nanjing 210018, China |
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| Abstract: | Firstly,by combining the disturbing fuzzy set theory with the fuzzy set theory,the concept of the rough disturbing fuzzy set is given and some of the fundamental properties of which are studied.And then,by introducing the definitions of the level upper(lower) boundary areas of the distrubing fuzzy set,the shortcomings that the intersection of the upper approximations of two sets is unequal to the upper approximation of the intersection of two sets(the union of the lower approximations of two sets is unequal to the lower approximation of the union of two sets) are overcomed,which commonly exist in the rough set theory.At last,the roughness of the disturbing fuzzy set with respect to parameters is defined and some properties of the new measures are discussed. |
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| Keywords: | disturbing fuzzy set rough set rough distrubing fuzzy set level upper(lower) boundary area roughness |
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