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格值上下文无关文法的范式 被引量:2

The normal form of lattice-valued context free grammars
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摘要 给出了格值上下文无关文法(LCFG),Chomsky范式文法,Greibach范式文法的定义.证明了对任意的LCFG存在与之等价的Chomsky范式文法;给出了对任意的LCFG,存在与之等价的Greibach范式文法的条件.文中结论表明了LCFG的特性与其取值格的代数性质密切相关. The concepts of lattice-valued context free grammars(LCFG,for short),Chomsky norm form,Greibach norm form an fomulated.It's proved that for any LCFG,there exists an equivalent Chomsky norm form.The condition to satisfies that for any LCFG,there exists an equivalent Greibach norm form is given.The obtained results show the close links between the LCFG and the algebraic properties of lattice monoid which the LCFG takes values.
作者 盛莉
机构地区 集美大学理学院
出处 《纯粹数学与应用数学》 CSCD 2010年第2期270-274,共5页 Pure and Applied Mathematics
关键词 格半群 格值上下文无关文法 Chomsky范式 Greibach范式 lattice-valued context free grammars Chomsky norm form Greibach norm form lattice monoid
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参考文献11

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二级参考文献17

  • 1Asveld P R J.Algebraic aspects of families of fuzzy languages[J]. Theoretical Computer Science, 2003,293:417~445.
  • 2Balbes R, Dwinger P. Distributive Lattices[M]. Columbia, Missouri: University of Mossouri Press,1974.
  • 3Lee E T, Zadeh L A. Note on fuzzy languages[J].Information Sciences.1969,1:421~434.
  • 4Mordeson J N, Malik D S. Fuzzy Automata and Languages: Theory and Applications[M]. Chapman & HallCRC, Boca Raton, London, 2002.
  • 5蒋守礼 姜守恒.形式语言与自动机理论[M].北京:清华大学出版社,2003..
  • 6Shen J Z. Fuzzy language on free monoid[J]. Information Sciences, 1996,88:149~168.
  • 7Yager R R. Aggregation operators and fuzzy systems modeling[J]. Fuzy Sets and Systems, 1994,67:129~145.
  • 8Sheng L, Li Y M. Regular Grammars with truth values in lattice-monoid and their languages[J]. Soft Computing (to appear), 2004.
  • 9Mordeson J N,Malik D S.Fuzzy automata and languages:Theory and applications [M].London:Chapman and HaU/CRC Boca Raton,2002.
  • 10Jizhong Shen.Fuzzy language on free monoid [J].Information Sciences, 1996,88:149-168.

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