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完备格上并既约元的性质 被引量:7

Some Properties of Join-irreducible Elements in Complete Lattice
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摘要 首先给出一个连续并既约元的概念,然后在完备格上对并既约元的性质进行了探讨.
出处 《模糊系统与数学》 CSCD 2004年第z1期176-179,共4页 Fuzzy Systems and Mathematics
基金 四川省教育厅重点基金资助项目(2002A078),四川省应用基础研究项目(03JY029-115)
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参考文献7

  • 1[1]Birkhoff G. Lattice theory [M]. 3th Ed. , vol. xxv, AMS Colloquium Publications, 1979. 被引量:1
  • 2[2]Crawley P, Dilworth R P. Algebraic Theory of Lattice [M]. Prentice -Hall, Englewood Cli. s, NJ, 1973. 被引量:1
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  • 4王学平.完备Brouwerian格上Fuzzy关系方程有极小解的条件[J].数学进展,2002,31(3):220-228. 被引量:32
  • 5[5]Wang Xue-ping. Infinite fuzzy relational equations on a complete Brouwerian lattice[J]. Fuzzy sets and systems, 2003, 138: 657 ~ 666. 被引量:1
  • 6王学平..完备Brouwerian格上Fuzzy关系方程的极小解及Fuzzy关系的分解[D].四川大学,1999:
  • 7[7]Zhao Cui-kui. On matrix equations in a class of complete and completely distributive lattices[J]. Fuzzy sets and systems, 1987, 22: 303 ~320. 被引量:1

二级参考文献11

  • 1Birkhoff G. Lattice Theory. 3th Ed., Vol.XXV, AMS Colloquium Publications, 1979. 被引量:1
  • 2Sanchez E. Resolution of composite fuzzy relation equations. Inform. and Control, 1976, 30: 38-48. 被引量:1
  • 3Szaz G. Introduction to Lattice Theory. 3rd Ed., New York: Academic Press, 1963. 被引量:1
  • 4Di Nola A, Sessa S, Pedrycz W and Sanchez E. Fuzzy Relation Equations and Their Applications to Knowledge Engineering. Dordrecht, Boston/London: Kluwer Academic Publishers, 1989. 被引量:1
  • 5Di Nola A, Sessa S, Pedrycz W, Higashi M. Minimal and maximal solutions of a decomposition problem of fuzzy relations. Int. J. General Systems, 1985, 11: 103-116. 被引量:1
  • 6Higashi M and George J K. Resolutions of finite fuzzy relation equations. Fuzzy Sets and Systems, 1984,13: 65-82. 被引量:1
  • 7Di Nola A. On solving relational equations in Brouwerian lattices. Fuzzy Sets and Systems, 1990, 34:365-376. 被引量:1
  • 8Wang Xueping. Method of solution to fuzzy relation equations in a complete Brouwerian lattice. Fuzzy Sets and Systems, to appear. 被引量:1
  • 9Birkhoff G. Lattice Theory. Revised Ed., Vol. XXV, AMS Colloquium Publications, 1984. 被引量:1
  • 10Crawley P and Dilworth R P. Algebraic Theory of Lattice. Englewood Cliffs, NJ: Prentice-Hall, 1973. 被引量:1

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引证文献7

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