期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

模糊半连续格的性质 被引量：3

Some properties of fuzzy semicontinuous lattices
下载PDF
导出
摘要 在模糊完备格上定义了一种新的模糊Way-below关系,在此基础上引入了模糊半连续格的概念,证明了它是分明半连续格的一种推广.讨论了模糊半连续格上模糊Way-below关系的性质,并利用模糊Galois伴随给出了模糊半连续格的一个等价刻画. A new kind of fuzzy way-below relation on fuzzy complete lattices is defined.Based on it,the concept of fuzzy semicontinuous lattice is introduced.We show that such a fuzzy semicontinuous lattice is a generalization of a semicontinuous lattice.Some properties of the fuzzy way-below relation on fuzzy semicontinuous lattices are discussed.An equivalent characterization of fuzzy semicontinuous lattices is given by using fuzzy Galois connections.
作者 韩艳伟 赵彬
机构地区 陕西师范大学数学与信息科学学院
出处 《陕西师范大学学报（自然科学版）》 CAS CSCD 北大核心 2011年第6期6-9,13,共5页 Journal of Shaanxi Normal University：Natural Science Edition
基金 国家自然科学基金资助项目(10871121 11171196)
关键词 模糊半素理想 模糊半连续格 模糊Galois伴随 fuzzy semiprime ideal fuzzy semicontinuous lattice fuzzy Galois connection
分类号 O153.1 [理学—基础数学]
  • 相关文献

参考文献10

  • 1Zadeh L A. Fuzzy sets [J]. Information and Control, 1965,8:338-353.
  • 2Wagner K R. Liminf convergence in Ω-categories [J]. Theoretical Computer Scienee, 1997, 184: 61-104.
  • 3Fan Lei. A new approach to quantitative domain theory [J]. Electronic Notes in Theoretical Computer Science 2001, 45: 77-87.
  • 4Zhang Qiye, Fan Lei. Continuity in quantitative domains [J]. Fuzzy Sets and Systems,2005,154 : 118-131.
  • 5Lai Hongliang, Zhang Dexue. Complete and directed complete O-categories [J]. Theoretical Computer Sci- ence, 2007,388 : 1-25.
  • 6Yao Wei, Lu Lingxia, Fuzzy Galois connections on fuzzy posets [J]. Mathematical Logic Quarterly, 2009, 55: 84-91.
  • 7Zhang Qiye, Xie Weixian, Fan Lei. Fuzzy complete lat- tices [J]. Fuzzy Sets and Systems, 2009, 160: 2275- 2291.
  • 8Yao Wei. Quantative domains via fuzzy sets.- Part I: Continuity of fuzzy directed complete posets [J]. Fuzzy Sets and Systems, 2010, 161: 973-987.
  • 9Zhao Dongsheng. Semicontinuous lattices [J]. Algebra Universalis, 1997,37:458-476.
  • 10Belohlavek R. Concept lattices and order in fuzzy logic [J]. Annals of Pure and Applied Logic, 2004, 128: 277-298.

同被引文献27

  • 1张奇业,谢伟献.L-Fuzzy Domain上的广义Scott拓扑[J].数学杂志,2006,26(3):312-318. 被引量：1
  • 2伍秀华,李庆国,许任飞.半连续格的性质[J].模糊系统与数学,2006,20(4):42-46. 被引量：12
  • 3Mulvey C J. l-[J]. Rendiconti del Circolo Matematico di Palermo. Serie II. Supplemento, 1986,12.- 99- 104.
  • 4Han S W, Zhao B. Nuclei and conuclei on residuated lattices[J]. Fuzzy Sets and Systems,2011,172..51-70.
  • 5Hohle U. On the fundamentals offuzzy settheory[J]. JournalofMathematical Analysis and Applications,1996,201: 786-826.
  • 6Fan L. A new approach to quantitative domain theory[J]. Electronic Notesin Theoretical Computer Science,2001, 45:77-87.
  • 7Zhang Q Y, Fan L. Continuity in quantitative domains [J]. Fuzzy Sets ang Systems, 2005,154:118- 131.
  • 8Lai H L, Zhang D X. Complete and directed complete t-categories[J]. Theoretical Computer Science,2007,388:l- 25.
  • 9Zhang Q Y, Xie W X, Fan L. Fuzzy complete lattices[J]. Fuzzy Sets and Systems,2009,160:2275-2291.
  • 10Yao W, Lu L X. Fuzzy Galois connections on fuzzy posets[J]. Mathematical Logic Quarterly,2009,55:105- 112.

引证文献3

二级引证文献1

陕西师范大学学报（自然科学版）
2011年 第6期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部