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李代数的粗糙子代数和粗糙理想 被引量:2

The Rough Subalgebras and Rough Ideals of Lie Algebras
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摘要 对粗糙集上李代数的结构进行了研究,引入了李代数的粗糙子代数和粗糙理想等概念.把粗糙集理论方法和李代数的经典结论结合起来,得到了一些有意义的结论. In this paper, the idea of rough sets on Lie algebras were introduced,and the concepts of rough subalgebra and rough ideal were given. Combining the methods of rough sets with the classical conclusions of Lie algebras, some meaningful results were obtained.
作者 李小朝
出处 《河南科学》 2011年第12期1406-1408,共3页 Henan Science
基金 国家自然科学基金资助项目(11001200)
关键词 李代数 粗糙子代数 粗糙理想 Lie algebra: rough subalgebra rough ideal
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  • 1Han S Q.The homomorphism and isomorphism of rough-group[J].Journal of Shanxi University(Natural Science),2001,24(4):303-305.
  • 2Dubois D,Prade H.Rough fuzzy sets and fuzzy rough sets[J].Int.J.General System,1990,17(2-3):191-209.
  • 3Dubois D,Prade H.Twofold fuzzy sets and rough sets-some issues in knowledge representation[J].Fuzzy Sets and Systems,1987,23:3-18.
  • 4Wang E F,Shi S M.Advanced algebra[M].Beijing:Hight Education Press,2004.
  • 5Pawlak Z.Rough sets[J].International Journal of Computer and Information Sciences,1982,11:341-356.
  • 6Bonikowaski Z.Algebraic structures of rough sets[A].Ziarko W P.Rough sets,fuzzy sets and knowledge discovery[C].Berlin:Springer-Verlag,1995:242-247.
  • 7Iwinski T.Algebraic approach to rough sets[J].Bull.Polish Acad.Sci.Math.,1987,35:673-683.
  • 8Pomykala J,Pomykala J A.The stone algebra of rough sets[J].Bull.Polish Acad.Sci.Math.,1998,36:495-508.
  • 9Biswas R,Nanda S.Rough groups and rough subgroups[J].Bull.Polish Acad.Sci.Math.,1994,42:251-254.
  • 10Kuroki N.Rough ideals in semigroups[J].Information Sciences,1997,100:139-163.

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  • 1Pawalk Z.Rough sets[J].J Comp Sc,1982,11:341-356.
  • 2Biswas R,Nanda S.Rough groups and rough subgroups[J].Bull Polish Acad Sci Math,1994,42:251-254.
  • 3Kuroki N.Rough ideals in semigroups[J].Information Science,1997,100:139-163.
  • 4Liu W J.Rough linear space[J].Fuzzy System and Mathematics,2007,4:137-143.
  • 5Humphreys J E.Introducyion to Lie algebras and representation theory[M].New York:Springer-Verlag,1972.
  • 6刘文军.粗糙线性空间(英文)[J].模糊系统与数学,2007,21(4):137-143. 被引量:8
  • 7吴明芬.线性空间上基于同余的上(下)近似[J].模糊系统与数学,2008,22(1):146-150. 被引量:4
  • 8韩素青.粗糙群的同态与同构[J].山西大学学报(自然科学版),2001,24(4):303-305. 被引量:19

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