LATTICE-VALUED CATEGORIES OF LATTICE-VALUED CONVERGENCE SPACES

We study L-categories of lattice-valued convergence spaces. Suchcategories are obtained by \fuzzifying" the axioms of a lattice-valued convergencespace. We give a natural example, study initial constructions andfunction spaces. Further we look into some L-subcategories. Finally we usethis approach to quantify how close certain lattice-valued convergence spacesare to being lattice-valued topological spaces.

کلیدواژه ها:

L-fuzzy convergence ، L-topology ، L-lter ، L-limit space ، L-category ، Fuzzy category