Cech L-Fuzzy Rough Proximity Spaces

被引：3
|
作者：
Kumar, Virendra [1 ]
Tiwari, Surabhi [1 ]
机构：
[1] Motilal Nehru Natl Inst Technol Allahabad, Dept Math, Paryagraj 211004, India
来源：
NEW MATHEMATICS AND NATURAL COMPUTATION | 2024年 / 20卷 / 02期
关键词：
Fuzzy rough sets; proximity spaces; closure space; grills; ultrafilter; cluster; SETS; NEARNESS;
D O I：
10.1142/S1793005724500315
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In order to define the concept of nearness between L-fuzzy rough sets, we introduce the concept of Cech L-fuzzy rough proximity spaces. On this new nearness structure, we prove some basic topological results. To support the proposed approach, examples are given. Further, we introduce L-fuzzy rough grills, L-fuzzy rough filters and L-fuzzy rough clusters and on Cech L-fuzzy rough proximity spaces, and find the relationship between them.
引用
收藏
页码：567 / 581
页数：15
相关论文
共 50 条
  • [31] L-fuzzy semi-preopen operator in L-fuzzy topological spaces
    A. Ghareeb
    Neural Computing and Applications, 2012, 21 : 87 - 92
  • [32] Fixed point theorems for L-fuzzy mappings in L-fuzzy metric spaces
    Imdad, Mohammad
    Ahmed, Mohammed A.
    Nafadi, Hatem A.
    Sharma, Anupam
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2018, 35 (01) : 683 - 692
  • [33] Fuzzy rough sets are intuitionistic L-fuzzy sets
    Coker, D
    FUZZY SETS AND SYSTEMS, 1998, 96 (03) : 381 - 383
  • [34] Relationship Between L-Fuzzy Quasi-Proximity and L-Fuzzy Closure (Interior) Operators
    Ramadan, Ahmed A.
    NEW MATHEMATICS AND NATURAL COMPUTATION, 2024, 20 (03) : 813 - 833
  • [35] On the Categorical Connections of L-G-Filter Spaces and a Galois Correspondence with L-Fuzzy Pre-Proximity Spaces
    Jose, Merin
    Mathew, Sunil C.
    NEW MATHEMATICS AND NATURAL COMPUTATION, 2023, 19 (01) : 33 - 49
  • [36] L-fuzzy rough approximation operators via three new types of L-fuzzy relations
    Pang, Bin
    Mi, Ju-Sheng
    Yao, Wei
    SOFT COMPUTING, 2019, 23 (22) : 11433 - 11446
  • [37] Local Compactness in L-Fuzzy Spaces
    Breuckmann, T. K.
    Kudri, S. R. T.
    Aygun, H.
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2009, 2 (01): : 147 - 161
  • [38] Uniformity Structures on L-Fuzzy Spaces
    KADib
    OATantawy
    AEShlaan
    GAKamel
    模糊系统与数学, 2009, 23 (04) : 131 - 143
  • [39] Connectivity in L-fuzzy bitopological spaces
    Zheng, CY
    PROCEEDINGS OF THE SECOND ASIAN MATHEMATICAL CONFERENCE 1995, 1998, : 257 - 259
  • [40] ON L-FUZZY TOPOLOGICAL-SPACES
    SARKAR, M
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1981, 84 (02) : 431 - 442
12345