[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(
)
)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
- 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.
References:
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[3] Dimitras A I, Slowinski R, Susmaga R, et al. Business failure using rough sets[J]. European Journal of Operational Research, 1999, 114(2): 263-280.
[4] Skowron A, Rauszer C. Intelligent decision support-handbook of applications and advances of the rough sets theory[M]. Dordrecht: Luwer Academic Publishers, 1992.331-362.
[5] Dubois D, Prade H. Rough-fuzzy sets and fuzzy-rough sets[J]. International Journal of General Systems, 1990, 17(2):191-209.
[6] Zhang Wenxiu, Wu Weizhi, Liang jiye. Rough set theory and methodology[M]. Bejing:Science Press, 2001.128-158(in Chinese)
Memo
- Memo:
- * The project supported by the Project of Education Bureau Foundation of China(01JA630048).
** Born in 1968, female, graduate.