L-Fuzzy rough point-wise proximity spaces

In this paper, we study the concept of nearness between L-fuzzy rough sets and L-fuzzy points. The nearness between two L-fuzzy rough sets are viewed in terms of this new concept. Also, we investigate the relationship of L-fuzzy rough point-wise proximity space with L-fuzzy rough grills, L-fuzzy rough δℛ -clan and L-fuzzy rough δℛ-clusters. Moreover, we introduce the L-fuzzy rough point-wise LO-proximity spaces and study a few of its fundamental properties. The research is supported by a sufficient number of examples.

Authors

Publication Details

Journal
Applied General Topology
Published
2025-04-01
DOI
https://doi.org/10.4995/agt.2025.21682
Citations
1
Primary Topic
Fuzzy and Soft Set Theory
Type
article
Field-Weighted Citation Impact
2.11
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article

L-Fuzzy rough point-wise proximity spaces

Surabhi Tiwari, Virendra Kumar
1 citations
Applied General Topology
Fuzzy and Soft Set Theory
2.11
article

L-Fuzzy rough point-wise proximity spaces

Surabhi Tiwari, Virendra Kumar
article en
1 citations

Abstract

In this paper, we study the concept of nearness between L-fuzzy rough sets and L-fuzzy points. The nearness between two L-fuzzy rough sets are viewed in terms of this new concept. Also, we investigate the relationship of L-fuzzy rough point-wise proximity space with L-fuzzy rough grills, L-fuzzy rough δℛ -clan and L-fuzzy rough δℛ-clusters. Moreover, we introduce the L-fuzzy rough point-wise LO-proximity spaces and study a few of its fundamental properties. The research is supported by a sufficient number of examples.

Applied General TopologyVol. 26(1)
Openalex Percentile: Top 15%
Fuzzy and Soft Set Theory
2.11
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L-Fuzzy rough point-wise proximity spaces — Surabhi Tiwari, Virendra Kumar · Applied General Topology (2025) | TGRS Research Map | TGRS