\bibitem{adamek-herrlich-strecker1989}
J. Ad\'{a}mek., H. Herrlich and G. E. Strecker, {\it Abstract and concrete categories}, Wiley, New York, 1989.
\bibitem{fang2010}
J. Fang, {\it Stratified L-ordered convergence structures}, Fuzzy Sets and Systems, {\bf 161} (2010), 2130 -- 2149.
\bibitem{flores-mohapatra-richardson2006}
P. V. Flores, R. N. Mohapatra and G. Richardson, {\it Lattice-valued spaces: fuzzy convergence}, Fuzzy Sets and Systems, {\bf 157} (2006), 2706 -- 2714.
\bibitem{gaehler2003}
W. G\"ahler, {\it Monadic convergence structures}, In: S. E. Rodabaugh and E. P. Klement, eds., Topological and Algebraic Structures in Fuzzy Sets, Kluwer, (2003), 57--79.
\bibitem{hoehle1997}
U. H\"ohle, {\it Locales and L-topologies}, In: Categorical Methods in Algebra and Topology -- a Collection of Papers in Honour of Horst Herrlich, Mathematik-Arbeitspapiere, {\bf 48} (1997), 233 -- 250.
\bibitem{hoehle1999}
U. H\"ohle, {\it Characterization of $L$-topologies by $L$-valued neighbourhoods}, In: Mathematics of Fuzzy Sets. Logic, Topology and Measure Theory (U. H\"ohle, S. E. Rodabaugh, eds.), Kluwer, Boston/Dordrecht/London, (1999), 389--432.
\bibitem{hoehle-sostak1999}
U. H\"ohle and A. P. Sostak, {\it Axiomatic foundations of fixed-basis fuzzy topology}, In: Mathematics of Fuzzy Sets. Logic, Topology and Measure Theory (U. H\"ohle, S. E. Rodabaugh, eds., Kluwer, Boston/Dordrecht/London, (1999), 123--272.
\bibitem{jaeger2001}
G. J\"ager, {\it A category of L-fuzzy convergence spaces}, Quaest. Math., {\bf 24} (2001), 501--517.
\bibitem{jaeger2005}
G. J\"ager, {\it Subcategories of lattice-valued convergence spaces}, Fuzzy Sets and Systems, {\bf 156} (2005), 1--24.
\bibitem{jaeger2007}
G. J\"ager, {\it Pretopological and topological lattice-valued convergence spaces}, Fuzzy Sets and Systems, {\bf 158} (2007), 424--435.
\bibitem{jaeger2011}
G. J\"ager, {\it Lattice-valued categories of lattice-valued convergence spaces}, Iranian Journal of Fuzzy Systems, {\bf 8}{\bf (2)} (2011), 67--89.
\bibitem{lowen-lowen1992}
E. Lowen and R. Lowen, {\it A topological universe extension of FTS}, In: Applications of Category Theory to Fuzzy Sets (S. E. Rodabaugh, E. P. Klement, U. H\"ohle, eds.), Kluwer, 1992.
\bibitem{lowen-lowen-wuyts1991}
E. Lowen, R. Lowen and P. Wuyts, {\it The categorical topology approach to fuzzy topology and fuzzy convergence}, Fuzzy Sets and Systems, {\bf 40} (1991), 347--373.
\bibitem{preuss1995}
G. Preu\ss, {\it Semiuniform convergence spaces}, Math. Japonica, {\bf 41} (1995), 465--491.
\bibitem{richardson-kent1996}
G. D. Richardson and D. C. Kent, {\it Probabilistic convergence spaces}, Journal of the Australian Math. Soc. A, {\bf 61} (1996), 400--420.
\bibitem{yao2008}
W. Yao, {\it On many-valued $L$-fuzzy convergence spaces}, Fuzzy Sets and Systems, {\bf 159} (2008), 2503 -- 2519.
\bibitem{yao2009}
W. Yao, {\it On $L$-fuzzifying convergence spaces}, Iranian Journal of Fuzzy Systems, {\bf 6} (2009), 63--80.
\bibitem{yao2012}
W. Yao, {\it Moore-Smith convergence in (L,M)-fuzzy topology}, Fuzzy Sets and Systems, {\bf 190} (2012), 47--62.
)