Fuzzy Rough Ring and Its Properties
Fuzzy Rough Ring and Its Properties
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 binarv operation of ring was discussed.
基金
Supported by Soft Science Research Project of Henan Province(122400450212)
Supported by Foundation Lead-edge Technologies Research Project of Henan Province(122300410061)
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.
