ON $L$-FUZZY TOPOLOGIES INDUCED BY $L$-G-FILTERS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 37

Volume : 20 , Issue : 1
DOI: https://doi.org/10.56827/SEAJMMS.2024.2001.16
Author :
Merin Jose (School of Mathematics and Statistics, Mahatma Gandhi University, Kottayam - 686560, Kerala, INDIA)
Sunil C. Mathew (Department of Mathematics, Deva Matha College Kuravilangad, Kottayam - 686633, Kerala, INDIA)

Abstract

This paper addresses $L$-fuzzy topologies induced by $L$-G-filters and studies the categorical relations between $L$-G-filter spaces and $L$-fuzzy topological spaces. Three functors from the category of $L$-G-filter spaces to the category of $L$-fuzzy topological spaces are obtained. Having introduced the concept of monotone $L$-fuzzy topologies, the study inquires into the sum, subspace, product, quotient and the lattice structure of such topologies.

Keywords and Phrases

Residuated lattice, Functor, Monotone.

A.M.S. subject classification

54A40, 18A40.

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