以优势关系为基础的粗糙集在地震数据挖掘中的应用
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摘要
在地震数据挖掘应用中,可用粗糙集方法进行对震例数据的属性约减。但是,经典的粗糙集理论建立在由等价关系对对象集划分的基础上,而震例数据是有序的而不是分类的对象。现对经典粗糙集理论进行扩展,提出一种用优势关系代替等价关系的粗糙集方法,并在此基础上提出一种基于差别矩阵的属性约简算法。实验结果表明,用这种方法能得出一些采用传统粗糙集理论所无法得到的结果。
In seismology, rough set can be used in the reduction of attributes. But classical rough set are based on indiscernibility relation or similarity relation. The problems in Seismology deal with ordering objects instead of classifying objects. Now we presented an extension of the classical rough set called dominance-based rough set, and an attribute-reduction algorithm based on dominance matrix. The experiment indicates that the results will be more meaningful than those induced by the classical rough set theory.
In seismology, rough set can be used in the reduction of attributes. But classical rough set are based on indiscernibility relation or similarity relation. The problems in Seismology deal with ordering objects instead of classifying objects. Now we presented an extension of the classical rough set called dominance-based rough set, and an attribute-reduction algorithm based on dominance matrix. The experiment indicates that the results will be more meaningful than those induced by the classical rough set theory.
引文
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[2]GRECO S,MATARAZZO B,SLOWINSKI R.Rough approximation of a preference relation by dominance relations[R].Warsaw:War-saw University of Technology,1996.
[3]GRECO S,MATARAZZO B,SLOWINSKI R.Rough sets method-ology for sorting problems in presence of multiple attributes and crite-ria[J].European Journal of Operational Research,2002,138(2):247-259.
[4]GRECO S,MATARAZZO B,SLOWINSKI R.Rough sets theory for multicriteria decision analysis[J].European Journal of Operational Research2001,129(1):11-47.
[5]GRECO S,MATARAZZO B,SLOWINSKI R.A newrough set ap-proach to multicriteria and multiattribute classification[A].Rough sets and Current Trends in Computing(RSTCTC98),Lecture Notes in Artificial Intelligence[C].Berlin:Springer-Verlag,1998.60-67.
[6]SLOWINSKI R,GRECO S,MATARAZZO B.Rough set analysis of preference-ordered data[A].RSCTC2002,LNAI2475[C].Berlin Heidelberg:Springer-Verlag,2002.44-59.
[7]DEMBCZYNSKI K,PINDUR R,SUSMAGA R.Dominance-based rough set classifier without induction of decision rules[J].Electronic Notes in Theoretical Computer Science,2003,82(4):147-161.
[8]安利平,陈增强,袁著祉.基于粗集理论的多属性决策分析[J].系统工程学报,2004,19(6):559.
[9]贾戎莉.信息系统上的优势关系与保序关系.山西师范大学学报,2005,19(2):14.
[2]GRECO S,MATARAZZO B,SLOWINSKI R.Rough approximation of a preference relation by dominance relations[R].Warsaw:War-saw University of Technology,1996.
[3]GRECO S,MATARAZZO B,SLOWINSKI R.Rough sets method-ology for sorting problems in presence of multiple attributes and crite-ria[J].European Journal of Operational Research,2002,138(2):247-259.
[4]GRECO S,MATARAZZO B,SLOWINSKI R.Rough sets theory for multicriteria decision analysis[J].European Journal of Operational Research2001,129(1):11-47.
[5]GRECO S,MATARAZZO B,SLOWINSKI R.A newrough set ap-proach to multicriteria and multiattribute classification[A].Rough sets and Current Trends in Computing(RSTCTC98),Lecture Notes in Artificial Intelligence[C].Berlin:Springer-Verlag,1998.60-67.
[6]SLOWINSKI R,GRECO S,MATARAZZO B.Rough set analysis of preference-ordered data[A].RSCTC2002,LNAI2475[C].Berlin Heidelberg:Springer-Verlag,2002.44-59.
[7]DEMBCZYNSKI K,PINDUR R,SUSMAGA R.Dominance-based rough set classifier without induction of decision rules[J].Electronic Notes in Theoretical Computer Science,2003,82(4):147-161.
[8]安利平,陈增强,袁著祉.基于粗集理论的多属性决策分析[J].系统工程学报,2004,19(6):559.
[9]贾戎莉.信息系统上的优势关系与保序关系.山西师范大学学报,2005,19(2):14.
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