期刊文献+

Fuzzy Rough Ring and Its Properties

Fuzzy Rough Ring and Its Properties
下载PDF
导出
摘要 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. 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 binarv operation of ring was discussed.
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2013年第4期555-564,共10页 数学季刊(英文版)
基金 Supported by Soft Science Research Project of Henan Province(122400450212) Supported by Foundation Lead-edge Technologies Research Project of Henan Province(122300410061)
关键词 数学教学 教学方法 课堂教学 微分方程 rough set approximation operator fuzzy ideal
  • 相关文献

参考文献12

  • 1PAWLAK Z. Rough sets[J].{H}International Journal of Computer and Information Sciences,1982,(05):341-356.
  • 2PAWLAK Z. Rough Sets,Theoretical Aspects of Reasoning about Data[M].{H}Boston:Kluwer Academic Publishers,1991.
  • 3IWINSKI T. Algebraic approach to rough sets[J].{H}Bulletin of the Polish Academy of Sciences Mathematics,1987.673-683.
  • 4POMYKALA J,POMYKALA J A. The Stone algebra of rough sets[J].{H}Bulletin of the Polish Academy of Sciences Mathematics,1988.495-508.
  • 5YAO Y Y. Two views of the theory of rough sets in finite universes[J].{H}INTERNATIONAL JOURNAL OF APPROXIMATE REASONING,1996,(04):291-317.
  • 6YAO Y Y,LIN T Y. Generalization of rough sets using modal logic[J].{H}International Journal of Intelligent Automation and soft Computation,1996.103-120.
  • 7BISWAS R,NANDA S. Rough groups and rough subgroups[J].Bull Polish Acad Math,1994.251-254.
  • 8KUROKI N. Rough ideals in semigroups[J].{H}Information Sciences,1997,(01):139-163.
  • 9DAVVAZ B. Roughness in rings[J].{H}Information Sciences,2004.147-163.
  • 10DAVVAZ B. Roughness in modules[J].{H}Information Sciences,2006,(24):3658-3674.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部