By using function one direction S-rough sets （function one direction singular rough sets）, the concept of one direction rough law is proposed, where one direction rough law is the law pair { w（x）-, w（x） - } comp...By using function one direction S-rough sets （function one direction singular rough sets）, the concept of one direction rough law is proposed, where one direction rough law is the law pair { w（x）-, w（x） - } composed by w（x）- and w（x）-, ffthe attribute set {a_ , a-} of function one direction S-rough sets changes, then one direction rough law { w（x）_, w（x）- } will change, too. By employing ellipse curves, the concept of one direction rough law security is presented, the security theorem of one direction rough law is proposed and the applications are given. One direction rough law security, which is generated by the intersection and penetration between function one direction S-rough sets and ellipse curves, is a new applied research direction of function S-rough sets.展开更多
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Natural Science Foundation of Fujian Province of China( No.2009J01293)Open Project of Brain-like Key Laboratory Research of Fujian Province of China (No. BLISSOS20101015)
文摘By using function one direction S-rough sets （function one direction singular rough sets）, the concept of one direction rough law is proposed, where one direction rough law is the law pair { w（x）-, w（x） - } composed by w（x）- and w（x）-, ffthe attribute set {a_ , a-} of function one direction S-rough sets changes, then one direction rough law { w（x）_, w（x）- } will change, too. By employing ellipse curves, the concept of one direction rough law security is presented, the security theorem of one direction rough law is proposed and the applications are given. One direction rough law security, which is generated by the intersection and penetration between function one direction S-rough sets and ellipse curves, is a new applied research direction of function S-rough sets.
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.
