NET-THEORETICAL L-GENERALIZED CONVERGENCE SPACES

被引:0
|
作者
Yao, W. [1 ]
机构
[1] Hebei Univ Sci & Technol, Dept Math, Shijiazhuang 050018, Peoples R China
来源
IRANIAN JOURNAL OF FUZZY SYSTEMS | 2011年 / 8卷 / 02期
关键词
Net; (Net-theoretical) L-generalized convergence space; (Enriched) L-fuzzy topological space; Cartesian-closed category;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the definition of net-theoretical L-generalized convergence spaces is proposed. It is shown that, for L a frame, the category of enriched L-fuzzy topological spaces can be embedded in that of h-generalized convergence spaces as a reflective subcategory and the latter is a cartesian-closed topological category.
引用
收藏
页码:121 / 131
页数:11
相关论文
共 50 条
  • [1] Net-theoretical convergence in (L,M)-fuzzy cotopological spaces
    Yang, Xiao-Fei
    Li, Sheng-Gang
    FUZZY SETS AND SYSTEMS, 2012, 204 : 53 - 65
  • [2] Monoidal closedness of L-generalized convergence spaces
    Zhang, L.
    Fang, J.
    Wang, W.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2019, 16 (05): : 139 - 153
  • [3] A new regularity (p-regularity) of stratified L-generalized convergence spaces
    Li, Lingqiang
    Li, Qingguo
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 20 (02) : 307 - 318
  • [4] Degrees of Separation Properties in Stratified L-Generalized Convergence Spaces Using Residual Implication
    Pang, Bin
    FILOMAT, 2017, 31 (20) : 6293 - 6305
  • [5] SPEED OF CONVERGENCE OF PERTURBED ITERATION METHODS OF DETERMINATION OF L-GENERALIZED SOLUTIONS TO NON-LINEAR OPERATOR EQUATIONS
    MELESHKO, VI
    DOKLADY AKADEMII NAUK SSSR, 1978, 243 (03): : 576 - 579
  • [6] Modeling and analysis of margolus quantum cellular automata using net-theoretical methods
    Ojala, L
    Penttinen, OM
    Parviainen, E
    APPLICATIONS AND THEORY OF PETRI NETS 2004, PROCEEDINGS, 2004, 3099 : 331 - 350
  • [7] Generalized statistical convergence and convergence free spaces
    Nuray, F
    Ruckle, WH
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 245 (02) : 513 - 527
  • [8] CONVERGENCE OF GENERALIZED NETS AND FILTERS IN GRADED L-FUZZY TOPOLOGICAL SPACES
    Mondal, K. K.
    Samanta, S. K.
    JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2006, 13 (01): : 47 - 69
  • [9] Convergence axioms on generalized metric spaces
    Kumari P.S.
    Sarma I.R.
    Rao J.M.
    Afrika Matematika, 2017, 28 (1-2) : 35 - 43
  • [10] CONVERGENCE IN GENERALIZED TOPOLOGICAL-SPACES
    NETZER, N
    MATHEMATISCHE NACHRICHTEN, 1977, 77 : 245 - 262