Journal of Guangdong University of Technology ›› 2005, Vol. 22 ›› Issue (4): 120-123.

• Comprehensive Studies • Previous Articles     Next Articles

Extension and Rough Set

  

  1.  (Dept.of Mathematics and System Science,National University of Defense Technology,Changsha 410073,China)
  • Online:2005-10-07 Published:2005-10-07

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Abstract: In this paper,the concepts of rough set and extension set are compared.Any rough set can be expressed by means of a dependent function U→{-1,0,1}.It is shown that these two concepts are different,and this representation can be extended to union and intersection.At last,the concept of extension field is used to solve this problem effectively.

Key words: rough set； extension set； rough dependent function；

[1] 张文修等编著.粗糙集理论与方法[M]. 科学出版社, 2001

[2] 蔡文等著.可拓逻辑初步[M]. 科学出版社, 2003

[1] Zdaistaw Pawlak.Rough sets and fuzzy sets. Fuzzy Sets and Systems . 1985

[2] Nanda S.Frzzy rough sets. Fuzzy Sets and Systems . 1992
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