By using the dual of one direction singular rough sets,the concepts of F-knowledge and its F-reduction were given;F-reduction theorem of F-knowledge and attribute supplement redundant principle of F-reduction are pres...By using the dual of one direction singular rough sets,the concepts of F-knowledge and its F-reduction were given;F-reduction theorem of F-knowledge and attribute supplement redundant principle of F-reduction are presented;the dual of one direction singular rough sets is one of the basic forms of singular rough sets;knowledge reduction is a new research direction on rough sets and rough system theory.展开更多
基金Supported by the Nature Science Foundation of Henan Province（102300410153） Supported by the Natural Science Foundation of Shandong Province（Y2007H02）
文摘By using the dual of one direction singular rough sets,the concepts of F-knowledge and its F-reduction were given;F-reduction theorem of F-knowledge and attribute supplement redundant principle of F-reduction are presented;the dual of one direction singular rough sets is one of the basic forms of singular rough sets;knowledge reduction is a new research direction on rough sets and rough system theory.
