Affiliations: [a] Department of Mathematics, St. Thomas College Palai, Arunapuram, Kottayam, Kerala, India
| [b] Department of Mathematics, Deva Matha College Kuravilangad, Kottayam, Kerala, India
Correspondence:
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Corresponding author. Sunil C. Mathew, Department of Mathematics, Deva Matha College Kuravilangad, Kottayam - 686633, Kerala, India. E-mail: sunilcmathew@gmail.com.
Abstract: This paper presents the idea of Alexandrov L-quasi-G-filter space and examines its relationship with L-fuzzy relations. It is proved that every Alexandrov L-quasi-G-filter induces an L-fuzzy relation and vice-versa. By identifying certain functors, the study has brought out the connections between the categories of Alexandrov L-quasi-G-filter spaces and Alexandrov L-fuzzy pre-uniform spaces. Further, the study has explored and thereby establishes the scope of Alexandrov L-quasi-G-filter spaces in mathematical modeling and decision-making processes.
