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效应代数中的模糊滤子 被引量:13

Fuzzy Filters in Effect Algebras
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摘要 在效应代数中引入模糊滤子和模糊理想的概念,讨论了它们的性质;引入并研究了强模糊滤子;在全序效应代数中提出了一个模糊同余关系并证明了这样生成的同余类是一个全序格效应代数。 We introduce the definition of fuzzy filters and fuzzy ideals in effect algebras and investigate their properties. The definition of strong fuzzy filters are introduced and studied. Moreover,we propose a fuzzy congruence in linearly effect algebras and prove that the fuzzy quotient by the given fuzzy congruence is a linearly lattice ordered effect algebra.
出处 《模糊系统与数学》 CSCD 北大核心 2009年第3期6-16,共11页 Fuzzy Systems and Mathematics
基金 国家自然科学基金重点资助项目(10331010)
关键词 效应代数 滤子 模糊滤子 模糊同余 Effect Algebra Filters Fuzzy Filters Fuzzy Congruence
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参考文献4

  • 1Jenca G, Pulmannova S. Ideals and quotients in lattice ordered effect algebras[J]. Soft Computing, 2001,5:376-380.
  • 2Wu J. Ideals,filters,and supports in Pseudoeffect algebras[J]. International Journal of Theoretical Physics, 2004,43: 349-358.
  • 3Foulis D, Bennett M K. Effect algebras andunsharp quantum logics [J ]. Foundations of Physics, 1994,24: 1331-1352.
  • 4Kopka F, Chovanec F. D-posets[J]. Math. Slovaca, 1994,44 :21-34.

同被引文献72

  • 1雷英杰,王宝树,苗启广.直觉模糊关系及其合成运算[J].系统工程理论与实践,2005,25(2):113-118. 被引量:69
  • 2徐扬,秦克云.模糊格蕴涵代数[J].西南交通大学学报,1995,30(2):121-127. 被引量:37
  • 3张广济,邹开其,张成.Fuzzifying Topological Linear Spaces Based on Continuous-Valued logic[J].Journal of Mathematical Research and Exposition,2006,26(1):77-88. 被引量:9
  • 4王璐,周湘南.效应代数的素滤子,同余关系与商[J].数学理论与应用,2007,27(1):78-81. 被引量:3
  • 5FOULIS D,BENNETT M K. Effect algebras and unsharp quantum logics[J]. Foundations of Physics, 1994,24: 1 331-1 352.
  • 6JENCA G,PULMANNOVA S. Ideals and quotients in lattice ordered effect algebras[J]. Soft Computing,2001,5:376- 380.
  • 7WU Jing. Ideals,filters and supports in Pseudo effect algebras [J]. International Journal of Theoretical Physics, 2004, 43:349-358.
  • 8RIECANOA A Z. Continuous lattice effect algebras admitting order-continuous states[J]. Fuzzy Sets and Systems, 2003,136 (1) : 41-54.
  • 9RIECANOA A Z. Lattice effect algebras with (o)-eontinuous faithful valuations[J]. Fuzzy Sets and Systems, 2001,124 (3) :321-327.
  • 10DALLA C M, GIUNTINI R,GREECHIE R. Reasoning in quantum theory[M]. Dordrecht: Kluwer Academic Publish- ers, 2004.

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