[1] Jian Lirong, Da Qingli, Chen Weida,. Variable Precision Rough Set and a Fuzzy Measureof Knowledge Based on Variable Precision Rough Set [J]. Journal of Southeast University (English Edition), 2002, 18 (4): 351-355. [doi:10.3969/j.issn.1003-7985.2002.04.013]
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Variable Precision Rough Set and a Fuzzy Measureof Knowledge Based on Variable Precision Rough Set(
)
变精度粗糙集与基于变精度粗糙集的知识模糊度量
)Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]
- Volumn:
- 18
- Issue:
- 2002 4
- Page:
- 351-355
- Research Field:
- Computer Science and Engineering
- Publishing date:
- 2002-12-30
Info
- Title:
- Variable Precision Rough Set and a Fuzzy Measureof Knowledge Based on Variable Precision Rough Set
- 变精度粗糙集与基于变精度粗糙集的知识模糊度量
- Author(s):
- Jian Lirong; Da Qingli; Chen Weida
- College of Economics and Management, Southeast University, Nanjing 210096, China
- PACS:
- TP311
- DOI:
- 10.3969/j.issn.1003-7985.2002.04.013
- Abstract:
- Variable precision rough set(VPRS)is an extension of rough set theory(RST). By setting threshold value β, VPRS looses the strict definition of approximate boundary in RST. Confident threshold value for β is discussed and the method for deriving decision-making rules from an information system is given by an example. An approach to fuzzy measures of knowledge is proposed by applying VPRS to fuzzy sets. Some properties of this measure are studied and a pair of lower and upper approximation operators in fuzzy sets are described. Research results reveal that, based on VPRS, fuzzy membership functions can be explicitly interpreted and semantics of membership values can be explicitly stated.
- 变精度粗糙集是对标准粗糙集理论的一种扩展.它通过设置阈值参数β, 放松了标准粗糙集理论对近似边界的严格定义.文中讨论了变精度粗糙集的置信阈值β, 通过算例给出了信息系统中基于变精度粗糙集的规则提取方法;将变精度粗糙集模型应用于模糊集, 提出了在变精度粗糙集中知识的一种模糊度量方法, 对这种方法的一些性质进行了研究, 并用该模糊度量方法描述了近似算子.研究表明, 该方法可合理解释模糊隶属函数, 清晰说明了隶属度的含义.
References:
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Memo
- Memo:
- * The project supported by the Project of Education Bureau Foundation of China(01JA630048).
** Born in 1968, female, graduate.