L-Fuzzy Rough G-Proximity Spaces

In this paper, we study the concept of nearness between [Formula: see text]-fuzzy rough sets using [Formula: see text]-fuzzy rough grills. We introduce the concept of Čech [Formula: see text]-fuzzy rough [Formula: see text]-proximity spaces and [Formula: see text]-fuzzy rough [Formula: see text]-LO-proximity spaces. On this new nearness structure, we prove some basic topological results and to support the proposed approach, examples are given.

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Publication Details

Journal
New Mathematics and Natural Computation
Published
2024-10-24
DOI
https://doi.org/10.1142/s1793005726500316
Citations
1
Primary Topic
Fuzzy and Soft Set Theory
Type
article
Field-Weighted Citation Impact
0.49
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article

L-Fuzzy Rough G-Proximity Spaces

Surabhi Tiwari, Virendra Kumar
1 citations
New Mathematics and Natural Computation
Fuzzy and Soft Set Theory
0.49
article

L-Fuzzy Rough G-Proximity Spaces

Surabhi Tiwari, Virendra Kumar
article en
1 citations

Abstract

In this paper, we study the concept of nearness between [Formula: see text]-fuzzy rough sets using [Formula: see text]-fuzzy rough grills. We introduce the concept of Čech [Formula: see text]-fuzzy rough [Formula: see text]-proximity spaces and [Formula: see text]-fuzzy rough [Formula: see text]-LO-proximity spaces. On this new nearness structure, we prove some basic topological results and to support the proposed approach, examples are given.

New Mathematics and Natural ComputationVol. 22(02)
Motilal Nehru National Institute of Technology (IN)
Openalex Percentile: Top 30%
Fuzzy and Soft Set Theory
0.49
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