FUZZY BOUNDED SETS AND TOTALLY FUZZY BOUNDED SETS IN I-TOPOLOGICAL VECTOR SPACES

被引:0
|
作者
Jiang, S. Q. [1 ]
Yan, C. H. [1 ]
机构
[1] Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing 210046, Jiangsu, Peoples R China
来源
IRANIAN JOURNAL OF FUZZY SYSTEMS | 2009年 / 6卷 / 03期
关键词
I-topological vector space; Fuzzy bounded set; Totally fuzzy bounded set; N-compact set; COMPACTNESS;
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, a new definition of fuzzy bounded sets and totally fuzzy bounded sets is introduced and properties of such sets are studied. Then a relation between totally fuzzy bounded sets and N-compactness is discussed. Finally, a geometric characterization for fuzzy totally bounded sets in I-topological vector spaces is derived.
引用
收藏
页码:73 / 90
页数:18
相关论文
共 50 条
  • [1] Bounded sets in topological vector spaces
    Burke, MR
    Todorcevic, S
    MATHEMATISCHE ANNALEN, 1996, 305 (01) : 103 - 125
  • [2] Bounded Sets in Topological Spaces
    Bors, Cristina
    Ferrer, Maria V.
    Hernandez, Salvador
    AXIOMS, 2022, 11 (02)
  • [3] On the bounded and totally bounded sets
    Banzaru, T
    Rendi, B
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 1996, 48 (1-2): : 71 - 75
  • [4] Some Properties of Fuzzy Bounded Sets in Fuzzy Normed Linear Spaces
    Szabo, Alexandru
    Binzar, Tudor
    Nadaban, Sorin
    Pater, Flavius
    INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017), 2018, 1978
  • [5] BOUNDED SETS IN INDUCTIVE LIMITS OF TOPOLOGICAL VECTOR-SPACES
    RUESS, W
    WAGNER, R
    MANUSCRIPTA MATHEMATICA, 1976, 19 (04) : 365 - 374
  • [6] Bounded sets in spaces and topological groups
    Hernández, S
    Sanchis, M
    Tkacenko, M
    TOPOLOGY AND ITS APPLICATIONS, 2000, 101 (01) : 21 - 43
  • [7] A REMARK ON BOUNDED SETS IN LINEAR TOPOLOGICAL SPACES
    METZLER, RC
    BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1967, 15 (05): : 317 - &
  • [8] ON CLOSED TOTALLY BOUNDED SETS
    MURDESHW.MG
    CANADIAN MATHEMATICAL BULLETIN, 1966, 9 (04): : 525 - &
  • [9] ψ*-closed sets in fuzzy topological spaces
    M. A. Abd Allah
    A. S. Nawar
    Journal of the Egyptian Mathematical Society, 28 (1)
  • [10] Measures of noncompactness for fuzzy sets in fuzzy topological spaces
    Ban, AI
    Gal, SG
    FUZZY SETS AND SYSTEMS, 2000, 109 (02) : 205 - 216