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.
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页码：567 / 581
页数：15
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