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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Surabhi Tiwari & Virendra Kumar, 2025. "L-Fuzzy Rough Proximity Spaces and Their Relationship with L-Fuzzy Rough Grills," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 21(02), pages 709-721, July.
  • Handle: RePEc:wsi:nmncxx:v:21:y:2025:i:02:n:s1793005725500334
    DOI: 10.1142/S1793005725500334
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