Generalized local boundedness of induced I(L)-topological vector spaces

In I(L)-topological vector spaces (I(L)-tvs) that are L-topologically generated (L-tg), we investigate the generalized local boundedness in this article. We prove that an L-tg I(L)-tvs is generalized locally bounded iff the underlying L-topological vector space(L-tvs) is. We further verify that an L-tg I(L)-tvs is generalized L-fuzzy normable iff the underlying L-tvs is.