Chinese Quarterly Journal of Mathematics ›› 2010, Vol. 25 ›› Issue (4): 607-614.

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F-knowledge and Its F-reduction Theorems

  

  1. 1. Department of Mathematics Sciences, Huanghuai University2. Schoo of Mathematics and System Sciences, Shandong University
  • Received:2009-03-23 Online:2010-12-30 Published:2023-05-22
  • About author:ZHOU Hou-yong(1965-), male, native of Zhumadian, Henan, an associate professor of Huanghuai University, engages in rough set theory and applications.
  • Supported by:
    Supported by the Nature Science Foundation of Henan Province(102300410153); Supported by the Natural Science Foundation of Shandong Province(Y2007H02);

Abstract: 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.


Key words: the dual of one direction singular rough sets, F-knowledge, F-reduction, F-reduction theorem, attribute supplement redundant principle

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