On convergence theory in fuzzy topological spaces and its applications

被引：4
|
作者：
Nouh, AA [1 ]
机构：
[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
来源：
CZECHOSLOVAK MATHEMATICAL JOURNAL | 2005年 / 55卷 / 02期
关键词：
fuzzy points; Q-neighborhoods; fuzzy filters; fuzzy nets; limit; adherent and Q-adherent points of fuzzy filters and fuzzy nets; fuzzy continuity; strong Q-compactness;
D O I：
10.1007/s10587-005-0023-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we introduce and study new concepts of convergence and adherent points for fuzzy filters and fuzzy nets in the light of the Q-relation and the Q-neighborhood of fuzzy points due to Pu and Liu [28]. As applications of these concepts we give several new characterizations of the closure of fuzzy sets, fuzzy Hausdorff spaces, fuzzy continuous mappings and strong Q-compactness. We show that there is a relation between the convergence of fuzzy filters and the convergence of fuzzy nets similar to the one which exists between the convergence of filters and the convergence of nets in topological spaces.
引用
收藏
页码：295 / 316
页数：22
相关论文
共 50 条
  • [31] Factor spaces theory and its applications to fuzzy information processing. (I). The basics of factor spaces
    Li, HX
    Wang, PZ
    Yen, VC
    FUZZY SETS AND SYSTEMS, 1998, 95 (02) : 147 - 160
  • [32] 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
  • [33] alpha-GENERALIZED-CONVERGENCE THEORY OF L-FUZZY NETS AND ITS APPLICATIONS
    Chen, Bin
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2010, (27): : 167 - 178
  • [34] On the Level Spaces of Fuzzy Topological Spaces
    Benchalli, S. S.
    Siddapur, G. P.
    BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 1 (02): : 57 - 65
  • [35] The fuzzy topological spaces on a fuzzy space
    Dib, KA
    FUZZY SETS AND SYSTEMS, 1999, 108 (01) : 103 - 110
  • [36] Fuzzy topological entropy of fuzzy continuous functions on fuzzy topological spaces
    Afsan, B. M. Uzzal
    Basu, C. K.
    APPLIED MATHEMATICS LETTERS, 2011, 24 (12) : 2030 - 2033
  • [37] HC-convergence theory of L-fuzzy nets and L-fuzzy ideals and its applications
    Nouh, AA
    Seyam, N
    ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2005, 30 (2A): : 317 - 334
  • [38] Applications of Categorical Fixed-basis Fuzzy Topological Spaces to A-valued Spaces
    Demirci, Mustafa
    PROCEEDINGS OF THE 8TH CONFERENCE OF THE EUROPEAN SOCIETY FOR FUZZY LOGIC AND TECHNOLOGY (EUSFLAT-13), 2013, 32 : 9 - 16
  • [39] Differential geometry of moduli spaces and its applications to soliton equations and to topological conformal field theory
    Dubrovin, B
    JOURNAL OF DIFFERENTIAL GEOMETRY, 1998, : 213 - 238
  • [40] On r-Fuzzy Soft δ-Open Sets With Applications in Fuzzy Soft Topological Spaces
    Alshammari, Ibtesam
    Taha, Osama
    El-Bably, Mostafa K.
    Taha, Islam M.
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2025, 18 (01):
12345