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

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.