Intuitionistic I-fuzzy topological spaces

被引:0
|
作者
Cong-hua Yan
Xiao-ke Wang
机构
[1] Nanjing Normal University,Institute of Mathematics, School of Math.
来源
关键词
intuitionistic ; -fuzzy topological space; intuitionistic fuzzy point; intuitionistic ; -fuzzy quasi-coincident neighborhood space; fuzzifying topology; -fuzzy topology; 54A40; 54E15;
D O I
暂无
中图分类号
学科分类号
摘要
The main purpose of this paper is to introduce the concept of intuitionistic I-fuzzy quasi-coincident neighborhood systems of intuitiostic fuzzy points. The relation between the category of intuitionistic I-fuzzy topological spaces and the category of intuitionistic I-fuzzy quasi-coincident neighborhood spaces are studied. By using fuzzifying topology, the notion of generated intuitionistic I-fuzzy topology is proposed, and the connections among generated intuitionistic I-fuzzy topological spaces, fuzzifying topological spaces and I-fuzzy topological spaces are discussed. Finally, the properties of the operators Iω, ι are obtained.
引用
收藏
页码:233 / 252
页数:19
相关论文
共 50 条
  • [41] CONNECTEDNESS IN INTUITIONISTIC FUZZY TOPOLOGICAL SPACES IN SOSTAK'S SENSE
    Abd El-Latif, A. A.
    Khalaf, Mohammed M.
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2015, (35): : 649 - 668
  • [42] Small and Large Inductive Dimensions of Intuitionistic Fuzzy Topological Spaces
    Al-Qubati, AbdulGawad A. Q.
    Sayed, M-El
    Al-Qahtani, Hadba F.
    NANOSCIENCE AND NANOTECHNOLOGY LETTERS, 2020, 12 (03) : 413 - 417
  • [43] On some weak structures in intuitionistic fuzzy soft topological spaces
    Hussain, Sabir
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2019, (42): : 512 - 525
  • [44] On the intuitionistic fuzzy metric spaces and the intuitionistic fuzzy normed spaces
    Li, Xia
    Guo, Meifang
    Su, Yongfu
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (09): : 5441 - 5448
  • [45] On I(τ)α -open set and I(τ)β -open set in intuitionistic topological spaces
    Palaniswamy, Basker
    Varadharajan, Kokilavani
    MAEJO INTERNATIONAL JOURNAL OF SCIENCE AND TECHNOLOGY, 2016, 10 (02) : 187 - 196
  • [46] Application of linear programming with I-fuzzy sets to matrix games with I-fuzzy goals
    Aggarwal, A.
    Mehra, A.
    Chandra, S.
    FUZZY OPTIMIZATION AND DECISION MAKING, 2012, 11 (04) : 465 - 480
  • [47] Application of linear programming with I-fuzzy sets to matrix games with I-fuzzy goals
    A. Aggarwal
    A. Mehra
    S. Chandra
    Fuzzy Optimization and Decision Making, 2012, 11 : 465 - 480
  • [48] A definition for I-fuzzy partitions
    Torra, Vicenc
    Miyamoto, Sadaaki
    SOFT COMPUTING, 2011, 15 (02) : 363 - 369
  • [49] A definition for I-fuzzy partitions
    Vicenç Torra
    Sadaaki Miyamoto
    Soft Computing, 2011, 15 : 363 - 369
  • [50] Some recent results on Atanassov's intuitionistic fuzzy topological spaces
    Lupianez, F. G.
    COMPUTATIONAL INTELLIGENCE IN DECISION AND CONTROL, 2008, 1 : 229 - 234