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格上的T-幂等矩阵 被引量:2

T-idempotent Matrix on Lattice
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摘要 利用完备的分配格 L上三角模定义 L上的矩阵运算 ,给出这些运算的一些基本性质 ,并且讨论L上的 T-幂等矩阵。 In this paper, using triangular norms on a complete distributive lattice L, we define some (operations) on matrices over L, examine some basic properties of these operations, and discuss (T-idempotent) matrix on lattice.
作者 姜超
出处 《模糊系统与数学》 CSCD 2004年第3期50-53,共4页 Fuzzy Systems and Mathematics
关键词 完备格 分配格 三角模 矩阵 T-幂等矩阵 Lattice Complete Lattice Distributive Lattice Triangular Norm T-idempotent Matrix
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参考文献7

  • 1Menger K. Statistical metric spaces[A]. Proc. Nat. Acad. Sci.[C]. USA,1942,28:535~537.
  • 2Schweizer B,Sklar A. Statistical metric spaces[J]. Pacific J. Math.,1960,10:313~334.
  • 3Schweizer B, Sklar A. Associative functions and statistical triangular inequalities[J]. Publ. Math. Debrecen, 1961,8:169~186.
  • 4Schweizer B,Sklar A. Associative functions and abstract semigroups[J]. Publ. Math. Debrecen,1963,10:69~81.
  • 5Birkhoff G. Lattice theory[M]. Providence,Rhode:American Mathematical Society,1967.
  • 6Yu Y D. L-sets and L-universal algebras[A]. Advances in Fuzzy Theory and Technology(Vol.1)[C]. NC:Bookwrights-Independent Book Producer,1992:91~114.
  • 7Yu Y D,Moordeson J N,Cheng S C. Elements of L-algebra[Z]. Omaha, NB, USA:Creighton University, 1994.

同被引文献19

  • 1姜超.格上矩阵的合成和T-传递矩阵[J].淮海工学院学报(自然科学版),2004,13(3):9-12. 被引量:3
  • 2Menger K. Statistical metric spaces[J]. Proc. Nat. Acad. Sci. USA, 1942,28: 535- 537.
  • 3Schweizer B, Sklar A. Statistical metric spaces[J]. Pacific J. Math. ,1960,10: 313-334.
  • 4Schweizer B, Sklar A. Associative functions and statistical triangular inequalities[J]. Publ. Math. Debrecen,1961,8: 169-186.
  • 5Schweizer B, Sklar A. Associative functions and abstract semigroups[J]. Publ. Math. Debrecen, 1963,10: 69-81.
  • 6Birkhoff G. Lattice theory[M]. American Mathematical Society,Providence,Rhode,1967.
  • 7Yu Y D. L-sets and L-universal algebras[A]. Advances in fuzzy theory and technology(Vol. 1)[C]. Bookwrights- Independent Book Producer, NC, 1992 : 91- 114.
  • 8Yu Y D, Moordeson J N, Cheng S C. Elements of L-algebra[M]. Creighton University,Omaha,NB,USA,1994.
  • 9Birkhoff G. Lattice Theory [M]. Providence, Rhode: American Mathematical Society, 1967: 20 36.
  • 10Yu Yandong. L-sets and L universal Algebras [M]//Advances in Fuzzy Theory and Technology. N C: Bookwrights-Independent Book Producer, 1992:91 -- 114.

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