Convex (L,M)-fuzzy remote neighborhood operators

被引:0
|
作者
Zhao, Hu [1 ]
Jia, Li-Yan [1 ]
Chen, Gui-Xiu [2 ]
机构
[1] Xian Polytech Univ, Sch Sci, Xian 710048, Peoples R China
[2] Qinghai Normal Univ, Sch Math & Stat, Xining 810008, Peoples R China
关键词
convex; (L; M)-fuzzy remote neighborhood operator; M)-fuzzy convexstructure; complete lattice; (L; PRODUCT; AXIOMS; HULL;
D O I
10.14736/kyb-2024-2-0150
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, two kinds of remote neighborhood operators in ( L, M )-fuzzy convex spaces are proposed, which are called convex ( L, M )-fuzzy remote neighborhood operators. It is proved that these two kinds of convex ( L, M )-fuzzy remote neighborhood operators can be used to characterize ( L, M )-fuzzy convex structures. In addition, the lattice structures of two kinds of convex ( L, M )-fuzzy remote neighborhood operators are also given.
引用
收藏
页码:150 / 171
页数:22
相关论文
共 50 条
  • [21] (L, M)-Fuzzy Topological-Convex Spaces
    Wu, Xiu-Yun
    Liao, Chun-Yan
    FILOMAT, 2019, 33 (19) : 6435 - 6451
  • [22] New degrees for functions in (L, M)-fuzzy topological spaces based on (L, M)-fuzzy semiopen and (L, M)-fuzzy preopen operators
    Ghareeb, A.
    Al-Omeri, Wadei F.
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 36 (01) : 787 - 803
  • [23] Convergence structures in (L, M)-fuzzy convex spaces
    Zhang, Lin
    Pang, Bin
    FILOMAT, 2023, 37 (09) : 2859 - 2877
  • [24] Connectedness degrees in ( L, M)-fuzzy convex structures
    Xie, Tian-Tian
    Wang, Rui-Ying
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2024, 46 (01) : 2865 - 2876
  • [25] Relations among (L, M)-fuzzy convex structures, (L, M)-fuzzy closure systems and (L, M)-fuzzy Alexandrov topologies in a degree sense
    Xiu, Zhen-Yu
    Li, Qing-Guo
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 36 (01) : 385 - 396
  • [26] L-fuzzy generalized neighborhood system operator-based L-fuzzy approximation operators
    Zhao, FangFang
    Shi, Fu-Gui
    INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2021, 50 (04) : 458 - 484
  • [27] A new characterization of the product of (L, M)-fuzzy convex structures
    Zhao, Hu
    Hu, Xia
    Chen, Gui-Xiu
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2023, 45 (03) : 4535 - 4545
  • [28] (L, M)-fuzzy (restricted) convex derived hull spaces
    Wu, Xiu-Yun
    Liao, Chun-Yan
    Zhao, Yan-Hui
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2021, 41 (01) : 2305 - 2317
  • [29] Fuzzy counterparts of partial hull operators in the theory of L-convex systems
    Yang, Hui
    Wang, Yi-Na
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2024, 46 (02) : 4869 - 4879
  • [30] The Lattice Structures of Approximation Operators Based on L-Fuzzy Generalized Neighborhood Systems
    Song, Qiao-Ling
    Zhao, Hu
    Zhang, Juan-Juan
    Ramadan, A.A.
    Zhang, Hong-Ying
    Chen, Gui-Xiu
    Complexity, 2021, 2021