STRUCTURES INDUCED BY ALEXANDROV FUZZY TOPOLOGIES

被引：0
|
作者：
Kim, Yong Chan [1 ]
机构：
[1] Gangneung Wonju Natl Univ, Dept Math, Kangnung 210702, South Korea
来源：
JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS | 2014年 / 21卷 / 03期
关键词：
complete residuated lattices; fuzzy preorder; meet-join approximation operators; Alexandrov (fuzzy) topologies;
D O I：
10.7468/jksmeb.2014.21.3.183
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the properties of Alexandrov fuzzy topologies and meet-join approximation operators. We study fuzzy preorder, Alexandrov topologies and meet-join approximation operators induced by Alexandrov fuzzy topologies. We give their examples.
引用
收藏
页码：183 / 194
页数：12
相关论文
共 50 条
  • [1] JOIN-MEET APPROXIMATION OPERATORS INDUCED BY ALEXANDROV FUZZY TOPOLOGIES
    Kim, Yong Chan
    KOREAN JOURNAL OF MATHEMATICS, 2014, 22 (03): : 553 - 565
  • [2] A degree approach to relationship among fuzzy convex structures, fuzzy closure systems and fuzzy Alexandrov topologies
    Wang, Lan
    Wu, Xiu-Yun
    Xiu, Zhen-Yu
    OPEN MATHEMATICS, 2019, 17 : 913 - 928
  • [3] FUZZY RELATIONS AND ALEXANDROV L-TOPOLOGIES
    Ko, Jung Mi
    Kim, Yong Chan
    JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2014, 21 (04): : 247 - 256
  • [4] Alexandrov L-topologies and Alexandrov L-convergence structures
    Davvaz, Bijan
    Kim, Yong Chan
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2018, 35 (06) : 6393 - 6404
  • [5] I-fuzzy Alexandrov topologies and specialization orders
    Fang Jinming
    FUZZY SETS AND SYSTEMS, 2007, 158 (21) : 2359 - 2374
  • [6] Fuzzy Galois connections on Alexandrov L-topologies
    Oh, Ju-Mok
    Kim, Yong Chan
    Journal of Intelligent and Fuzzy Systems, 2021, 40 (01): : 251 - 270
  • [7] Categories of fuzzy preorders, approximation operators and Alexandrov topologies
    Kim, Yong Chan
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2016, 31 (03) : 1787 - 1793
  • [8] Fuzzy Galois connections on Alexandrov L-topologies
    Oh, Ju-Mok
    Kim, Yong Chan
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2021, 40 (01) : 251 - 270
  • [9] Fuzzy complete lattices, Alexandrov L-topologies and fuzzy rough sets
    Ko, Jung Mi
    Kim, Yong Chan
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2020, 38 (03) : 3253 - 3266
  • [10] Join-meet preserving maps and Alexandrov fuzzy topologies
    Kim, Yong Chan
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2015, 28 (01) : 457 - 467
12345