L-Fuzzy Rough Proximity Spaces and Their Relationship with L-Fuzzy Rough Grills

Surabhi Tiwari () and Virendra Kumar
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Surabhi Tiwari: Department of Mathematics, Motilal Nehru National, Institute of Technology Allahabad, Prayagraj 211004, India
Virendra Kumar: Department of Mathematics, Motilal Nehru National, Institute of Technology Allahabad, Prayagraj 211004, India

New Mathematics and Natural Computation (NMNC), 2025, vol. 21, issue 02, 709-721

Abstract: In this paper, we study the concept of nearness between L-fuzzy rough sets and the concepts of L-fuzzy rough grills and L-fuzzy rough δℱ-clusters on a Čech L-fuzzy rough proximity space (X,δℱ). Also, we investigate the relationship among L-fuzzy rough grills, L-fuzzy rough δℱ-clan and L-fuzzy rough δℱ-clusters. Moreover, we introduce the L-fuzzy rough LO-proximity spaces and study some of its basic properties. An adequate number of examples support the study.

Keywords: Fuzzy rough sets; proximity spaces; closure space; ultrafilter; grills; cluster (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S1793005725500334

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