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软集与软RSL-代数 被引量：4

QIN Keyun.Soft sets and soft RSL-algebras
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摘要 将Molodtsov提出的软集理论应用于RSL-代数。为此,提出了软RSL-代数和软RSL-子代数的概念,讨论了它们的基本性质。同时,给出了关于RSL-代数的同态映射,刻画了同态映射的基本特性。 The soft set theory introduced by Molodtsov in 1999 is applied to the theory of RSL-algebras.The notions of soft RSL-algebras and soft RSL-subalgebras are presented and some related properties are derived.Meanwhile,the notion of homomorphism between RSL-algebras is introduced and some of its basic properties are presented.
作者 邵迎超 秦克云
机构地区 西南交通大学数学学院
出处 《计算机工程与应用》 CSCD 北大核心 2011年第27期15-18,共4页 Computer Engineering and Applications
基金 国家自然科学基金(No.60875034)~~
关键词 软集 软RSL-代数 软RSL-子代数 soft set soft RSL-algebra soft RSL-subalgebra
分类号 TP301 [自动化与计算机技术—计算机系统结构]
  • 相关文献

参考文献15

  • 1Molodtsov D.Soft set theory-first results[J].Computers and Mathematics with Applications, 1999,37(4/5) : 19-31.
  • 2Maji P K,Biswas R,Roy A R.Soft set theory[J].Computers and Mathematics with Applications, 2003,45:555-562.
  • 3Ali M I, Feng F, Liu X, et al.On some new operations in soft set theory[J].Computers and Mathematics with Applications, 2009, 57:1547-1553.
  • 4Qin K, Hong Z.On soft equality[J].Joumal of Computational and Applied Mathematics, 2010,234 : 1347-1355.
  • 5Aktas H, Cagman N.Soft sets and soft groups[J].Information Sciences, 2007,177: 2726-2735.
  • 6Acar H,Koyuncu F,Tanay B.Soft sets and soft rings[J].Computers and Mathematics with Applications, 2010,59: 3458-3463.
  • 7Feng F,Jun Y B,Zhao X Z.Soft semirings[J].Computers and Mathematics with Applications, 2008,56: 2621-2628.
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  • 9Jun Y B.Soft BCK/BCI-algebras[J].Computers and Mathematics with Applications,2008,56:1408-1413.
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二级参考文献22

  • 1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
  • 2ZHANG Xiaohong,HE Huacan,XU Yang.A fuzzy logic system based on Schweizer-Sklar t-norm[J].Science in China(Series F),2006,49(2):175-188. 被引量：7
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  • 7DAI Jian-hua.Logic for rough sets with rough double stone algebraic semantics[C]//Proceedings of Tenth Interntional Conference on RSFDGrC 2005.Regina,Canada:Springer,2005:141-148.
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共引文献1

同被引文献61

  • 1孙绍权.布尔代数的Fuzzy子代数和Fuzzy理想[J].模糊系统与数学,2006,20(1):90-94. 被引量：31
  • 2MOLODTSOV D. Soft set theory--first resultsE J]. Computers and Mathematics with Applications, 1999, 37 : 19-31.
  • 3MAJI P K. BISWAS R. Roy A R. Soft set theorv[J]. Comouters and Mathematics with Applications. 2003, 45:555-562.
  • 4ALl M I, FENG Feng, LIU Xiaoyan, et al. On some new operations in soft set theory [ J ]. Computers and Mathematics with Applications, 2009, 57 : 1547-1553.
  • 5QIN Keyun, HONG Zhiyong. On soft equality[J]. Joumal of Computational and Applied Mathematics, 2010, 234:1347- 1355.
  • 6AKTAS H, CAGMAN N. Soft sets and soft groups[J]. Information Sciences, 2007, 177:2726-2735.
  • 7ACAR H, KOYUNCU F, TANAY B. Soft sets and soft rings[J] Computers and Mathematics with Applications, 2010, 59: 3458-3463.
  • 8FENG Feng, JUN Y B, ZHAO Xianzhong. Soft semirings [J]. Computers and Mathematics with Applications, 2008, 56 : 2621-2628.
  • 9NAGARAJAN E K R, MEENAMBIGAI G, KRAGUJEVAC J. An application of soft sets to lattices[J]. Kragujevac Journal of Mathematics, 2011,35 ( 1 ) :75-87.
  • 10LANG Guangming, LI Qingguo. One research of soft lattices[ M]//WANG Guojun, ZHAO Bin, LI Yongming. Quantita- tive Logic and Soft Comoutinz. Sinzaoore: World Scientific Publishinz Co Pte Ltd, 2012:544-551.

引证文献4

二级引证文献6

计算机工程与应用
2011年 第27期

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