FURTHER STUDY ON (L,M)-FUZZY TOPOLOGIES AND (L, M)-FUZZY NEIGHBORHOOD SYSTEMS

被引:0
|
作者
Zhao, H. [1 ,2 ]
Li, S. G. [1 ]
Chen, G. X. [1 ]
机构
[1] Shaanxi Normal Univ, Coll Math & Information Sci, Xian 710062, Peoples R China
[2] Xian Polytech Univ, Sch Sci, Xian 710048, Peoples R China
来源
IRANIAN JOURNAL OF FUZZY SYSTEMS | 2014年 / 11卷 / 03期
基金
中国国家自然科学基金;
关键词
(L; M)-fuzzy topology; M)-fuzzy neighborhood system; Subspace; Product space;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Following the idea of L-fuzzy neighborhood system as introduced by Fu-Gui Shi, and its generalization to (L, M)-fuzzy neighborhood system, the relationship between (L, M)-fuzzy topology and (L, M)-fuzzy neighborhood system will be further studied. As an application of the obtained results, we will describe the initial structures of (L, M)-fuzzy neighborhood subspaces and (L, M)-fuzzy topological product spaces.
引用
收藏
页码:109 / 123
页数:15
相关论文
共 50 条
  • [41] 2 NEW L-FUZZY TOPOLOGIES ON R(L)
    YU, D
    FUZZY SETS AND SYSTEMS, 1995, 76 (03) : 379 - 385
  • [42] Note on 'Intuitionistic L-fuzzy Rough Sets, Intuitionistic L-fuzzy Preorders and Intuitionistic L-fuzzy Topologies'
    Tiwari, S. P.
    Singh, Anand P.
    Pandey, Saumya
    FUZZY INFORMATION AND ENGINEERING, 2021, 13 (02) : 196 - 198
  • [43] Degrees of M-fuzzy families of independent L-fuzzy sets
    Zhang, S. Y.
    Li, S. G.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2020, 17 (01): : 53 - 64
  • [44] On L-fuzzy automata, coalgebras and dialgebras: Associated categories and L-fuzzy topologies
    Singh, Shailendra
    Tiwari, S. P.
    Mahato, Sutapa
    FUZZY SETS AND SYSTEMS, 2023, 460 : 143 - 185
  • [45] Category and subcategories of (L, M)-fuzzy convex spaces
    Wu, X. Y.
    Li, E. Q.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2019, 16 (01): : 173 - 190
  • [46] Bases and subbases in (L, M)-fuzzy convex spaces
    Pang, Bin
    COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 39 (02):
  • [47] Separation axioms in (L, M)-fuzzy convex spaces
    Liang, Chengyu
    Li, Fanghui
    Zhang, Jie
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 36 (04) : 3649 - 3660
  • [48] Some characterizations of (L, M)-fuzzy convex spaces
    Xiu, Zhen-Yu
    Li, Qing-Guo
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 37 (04) : 5719 - 5730
  • [49] Convergence structures in (L, M)-fuzzy convex spaces
    Zhang, Lin
    Pang, Bin
    FILOMAT, 2023, 37 (09) : 2859 - 2877
  • [50] On (L, M)-fuzzy quasi-uniform spaces
    Yue, Yueli
    Shi, Fu-Gui
    FUZZY SETS AND SYSTEMS, 2007, 158 (13) : 1472 - 1485