In the paper,the concept of the generic applicability about Fset is generalized,and the new concepts of fuzzy applicability and weighted average applicability and applicable region about F sets are proposed.
By using function one direction S-rough sets,the concept of F-interior hiding image is presented; the theorem of F-interior hiding and the recognition criteria of interior hiding are proposed; and the applications of ...By using function one direction S-rough sets,the concept of F-interior hiding image is presented; the theorem of F-interior hiding and the recognition criteria of interior hiding are proposed; and the applications of F-interior hiding image are given. F-interior hiding image is a new application area of function S-rough sets,and function S-rough sets is a new theory and new tools for iconology research.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
In this paper we generalize the concept of C^1-Fredholm mappings to the case of upper semicontinuous set-valued mappings, and then we establish the degree theory for set-valued Fredholm mappings of index zero and th(?...In this paper we generalize the concept of C^1-Fredholm mappings to the case of upper semicontinuous set-valued mappings, and then we establish the degree theory for set-valued Fredholm mappings of index zero and th(?)ir set-valued compact perturbations.展开更多
文摘In the paper,the concept of the generic applicability about Fset is generalized,and the new concepts of fuzzy applicability and weighted average applicability and applicable region about F sets are proposed.
基金Natural Science Foundation of Fujian Province of China ( No.2009J01293)The Open Project of Brain-like Key Laboratory of Fujian Province of China (No. BLISSOS20101015)
文摘By using function one direction S-rough sets,the concept of F-interior hiding image is presented; the theorem of F-interior hiding and the recognition criteria of interior hiding are proposed; and the applications of F-interior hiding image are given. F-interior hiding image is a new application area of function S-rough sets,and function S-rough sets is a new theory and new tools for iconology research.
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.
文摘In this paper we generalize the concept of C^1-Fredholm mappings to the case of upper semicontinuous set-valued mappings, and then we establish the degree theory for set-valued Fredholm mappings of index zero and th(?)ir set-valued compact perturbations.
