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

Merin Jose () and Sunil C. Mathew
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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

New Mathematics and Natural Computation (NMNC), 2023, vol. 19, issue 01, 33-49

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.

Keywords: Residuated lattice; L-G-filter; L-interior operator; L-fuzzy pre-proximity; Galois correspondence (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S1793005722500478

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