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On the Categorical Connections of L-G-Filter Spaces and a Galois Correspondence with L-Fuzzy Pre-Proximity Spaces

Author

Listed:
  • Merin Jose

    (Department of Mathematics, St. Thomas College Palai, Arunapuram P. O. 686574, Kottayam, Kerala, India)

  • Sunil C. Mathew

    (Department of Mathematics, Deva Matha College Kuravilangad, Kuravilangad P. O. 686633, Kottayam, Kerala, India)

Abstract

The study examines the categorical connections of L-G-filters with L-filters and L-interior operators. Besides, the relationship between L-G-filters and L-fuzzy pre-proximities is also explored. Indeed, the Galois correspondence between the categories of stratified L-G-filter spaces and L-fuzzy pre-proximity spaces is revealed in this paper.

Suggested Citation

  • Merin Jose & Sunil C. Mathew, 2023. "On the Categorical Connections of L-G-Filter Spaces and a Galois Correspondence with L-Fuzzy Pre-Proximity Spaces," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 19(01), pages 33-49, March.
    • Handle: RePEc:wsi:nmncxx:v:19:y:2023:i:01:n:s1793005722500478
    DOI: 10.1142/S1793005722500478
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