期刊文献+

The Logical Properties of Filters of Lattice Implication Algebra 被引量:3

格蕴涵代数中滤子的逻辑性质(英文)
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摘要 In this paper, we discuss some propertie s of lattice implication algebra and difine the transitivity of implication in a set, we show the transitivity of implication and the substitution Theorem hold i n filters. So every filter of lattice implication algebra satisfies the Syllogis m and substitution Theorem of propositional logic.
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2001年第3期8-13,共6页 数学季刊(英文版)
基金 SupportedbytheFoundationofSouthwestJiaotongUniversity(1999XJ 0 6)
关键词 lattice implication algebra FILTER TRANSITIVITY 格蕴涵代数 滤子 传递性 逻辑性质 完全分配格 替换定理
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参考文献12

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同被引文献21

  • 1Qin Keyun,Xu Yang( Dept. of Appl. Mathematics, Southwest Jiaotong University)Chengdu 610031,China.Lattice-Valued Proposition Logic(Ⅱ)[J].Journal of Modern Transportation,1994,11(1):22-27. 被引量:13
  • 2王伟,徐扬,王学芳.α-Automated Reasoning Method Based on Lattice-Valued Propositional Logic LP(X)[J].Journal of Southwest Jiaotong University(English Edition),2002,10(1):98-111. 被引量:4
  • 3秦克云,涂文彪.粗糙集代数与格蕴涵代数[J].西南交通大学学报,2004,39(6):754-757. 被引量:16
  • 4张家锋,顾秀梅,秦克云.粗糙集代数与R_0-代数[J].四川理工学院学报(自然科学版),2006,19(5):95-98. 被引量:3
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  • 6Xu Y,Liu J,Song Z M,Qin K Y. On semantics of L-valued first-order logic Lvn[J]. International Journal of General Systems, 2000,29(1) :53-79.
  • 7Xu Y, Ruan D, Kerre E E, Liu J. a-resolution principle based on lattice-valued propositional logic LP(Ⅹ)[J]. Int. J. Information Sciences, 2000,130 : 195 - 223.
  • 8Xu Y, Ruan D, Kerre E E, Liu J. a-resolution principle based on first-order lattice-valued logic LF(Ⅹ)[J]. Int. J. Information Sciences, 2001,132 : 221- 239.
  • 9Ma J. Uncertainty reasoning on filter of lattice implication algebra[A]. Proceedings of the second International Conference on Machine Learning and Cybernetics[C]. Xi'an,2003 : 2-5.
  • 10秦克云.格值命题逻辑系统(Ⅰ)[J].西南交通大学学报,1993,2:123~128.

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