Chinese Quarterly Journal of Mathematics ›› 2013, Vol. 28 ›› Issue (4): 555-564.

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Fuzzy Rough Ring and Its Properties

  

  1. Department of Information Engineering, Henan College of Finance and Taxation
  • Received:2012-03-09 Online:2013-12-30 Published:2023-02-17
  • About author:REN Bi-jun(1959-), male, native of Jiaozuo, Henan, an associate professor of Henan College of Finance and Taxation, engages in the grey system theory and its application; FU Yan-ling(1978-), female, native of Puyang, Henan, a lecturer of Henan College of Finance and Taxation, M.S.D., engages in the rough set theory and its application.
  • Supported by:
    Supported by Soft Science Research Project of Henan Province(122400450212); Supported by Foundation Lead-edge Technologies Research Project of Henan Province(122300410061)

Abstract: This paper is devoted to the theories of fuzzy rough ring and its properties. The fuzzy approximation space generated by fuzzy ideals and the fuzzy rough approximation operators were proposed in the frame of fuzzy rough set model. The basic properties of fuzzy rough approximation operators were analyzed and the consistency between approximation operators and the binary operation of ring was discussed.


Key words:  rough set, approximation operator, fuzzy ideal

CLC Number: