\bibitem{adame}J. Ad\'{a}mek, H. Herrlich and G. E. Strecker, {\it Abstract and
concrete categories}, Wiley, New York, 1990.
\bibitem{burt}M. H. Burton, M. Muraleetharan and J. Gutierrez Garcia, {\it Generalized
filters I}, Fuzzy Sets and Systems, {\bf 106} (1999), 275--284.
\bibitem{eklu1}P. Eklund and W. G\"{a}hler, {\it Basic notions for fuzzy topology
I}, Fuzzy Sets and Systems, {\bf 26} (1988), 333--356.
\bibitem{eklu2}P. Eklund and W. G\"{a}hler, {\it Basic notions for fuzzy topology
II}, Fuzzy Sets and Systems, {\bf 27} (1988), 171--195.
{\bibitem{eklu3}P. Eklund and W. G\"{a}hler, {\it Fuzzy filter functor and
convergence}, In: S.E. Rodabaugh, E. P. Klement, U. H\"{o}hle, eds.,
Applications of Category Theory to Fuzzy Subsets, Kluwer Academic
Publishers, Dordrecht, 1992.}
\bibitem{fang}J. M. Fang, {\it Stratified $L$-ordered convergence
structures}, Fuzzy Sets and Systems, {\bf 161(16)} (2010), 2130--2149.
\bibitem{fang1}J. M. Fang, {\it Relationships between $L$-ordered convergence
structures and strong $L$-topologies}, Fuzzy Sets and Systems, {\bf
161}\textbf{(22)} (2010), 2923--2944.
\bibitem{fis}H. R. Fischer, {\it Limer\"{a}ume}, Math. Ann., {\bf 137} (1959), 269--303.
%\bibitem{wga1}W. G\"{a}hler, {\it Grundstrukturen der Analysis
%I,II,} Birkhh\"{a}user, Basel and Stuttgart, 1977.
\bibitem{wga2}W. G\"{a}hler, {\it The general fuzzy filter approach to fuzzy
topology I}, Fuzzy Sets and Systems, {\bf 76} (1995), 205--224.
\bibitem{wga3}W. G\"{a}hler, {\it The general fuzzy filter approach to fuzzy
topology II}, Fuzzy Sets and Systems, {\bf 76} (1995), 225--246.
\bibitem{gulog}M. G\"{u}lo\u{g}lu and D. Coker, {\it Convergence in $I$-fuzzy topological spaces}, Fuzzy Sets and Systems, {\bf 151} (2005), 615--623.
\bibitem{hohle}U. H\"{o}hle and A. P. \u{S}ostak, {\it Axiomatic foudations of fixed-basis fuzzy topology},
In: U. H\"{o}hle, S. E. Rodabaugh, eds., Mathematics of Fuzzy Sets:
Logic, Topology, and Measure Theory, Handbook Series, Kluwer
Academic Publishers, Boston, Dordrecht, London, {\bf 3} (1999), 123--173.
{\bibitem{jager1}G. J\"{a}ger, {\it A category of $L$-fuzzy convergence
spaces}, Quaest. Math., {\bf 24} (2001), 501--517.}
\bibitem{jager2}G. J\"{a}ger, {\it Subcategories of lattice--valued convergence
spaces}, Fuzzy Sets and Systems, {\bf 156} (2005), 1--24.
\bibitem{jager3}G. J\"{a}ger, {\it Pretopological and topological lattice-valued convergence
spaces}, Fuzzy Sets and Systems, {\bf 158} (2007), 424--435.
\bibitem{jager4}G. J\"{a}ger, {\it Lattice--valued convergence
spaces and regularity}, Fuzzy Sets and Systems, {\bf 159} (2008), 2488--2502.
%\bibitem{kent}D.C. Kent, {\it Convergence functions and their related
%topologies}, Fund. Math., {\bf 54}(1964), 125--133.
%
%\bibitem{kowa}H.J. Kowalsky, {\it Limesr\"{a}ume and
%Komplettierung}, Math. Nachr., {\bf 12}(1954), 301--340.
\bibitem{lee1}B. Y. Lee, J. H. Park and B. H. Park, {\it Fuzzy convergence structures}, Fuzzy Sets and Systems, {\bf 56} (1993), 309--315.
\bibitem{lee2}B. Y. Lee, S. H. Sohn and J. H. Park, {\it Separation axioms of
fuzzy convergence spaces}, Fuzzy Sets and Systems, {\bf 75} (1995), 111--115.
\bibitem{lee3}B. Y. Lee and S. H. Sohn, {\it Fuzzy regular convergence structures}, Fuzzy Sets and Systems, {\bf 101} (1999), 505--508.
\bibitem{lil3}L. Q. Li and Q. Jin, {\it On stratified $L$-convergence spaces: Pretopological axioms
and diagonal axioms}, Fuzzy Sets and Systems, {\bf 204} (2012), 40--52.
\bibitem{lowen1}E. Lowen, R. Lowen and P. Wuyts, {\it The categorical topological
approach to fuzzy topology and fuzzy convergence}, Fuzzy Sets and Systems, {\bf 40} (1991), 347--373.
\bibitem{lowen2}E. Lowen and R. Lowen, {\it A topological universe extension of
FTS}, in \cite{eklu3}.
\bibitem{mink}J. Minkler, G. Minkler and G. Richardson, {\it Regularity in
fuzzy congvergence spaces}, Fuzzy Sets and Systems, {\bf 127} (2002), 281--289.
\bibitem{pang}B. Pang and J. M. Fang, {\it $L$-fuzzy Q-convergence
structures}, Fuzzy Sets and Systems, {\bf 182} (2011), 53--65.
%\bibitem{popp}H. Poppe, {\it Compactness in general function spaces},
%VEB Deutscher Verlag der Wissenschaften, Berlin, 1974.
%
%\bibitem{pres}G. Preuss, {\it Semiuniform convergence
%spaces}, Math. Japonica, {\bf 41}(1995), 465--491.
\bibitem{rama}A. A. Ramadam, {\it Smooth filter structures}, J. Fuzzy
Math., {\bf 5} (1997), 297--308.
\bibitem{wu} W. C. Wu and J. M. Fang, {\it $L$-ordered fuzzifying convergence spaces}, Iranian Journal of Fuzzy Systems, {\bf 9(2)} (2012), 147--161.
\bibitem{xu}L. S. Xu, {\it Characterizations of fuzzifying topologies by some limit structures}, Fuzzy Sets and Systems, {\bf 123} (2001), 169--176.
\bibitem{yao1}W. Yao, {\it On many-valued stratified $L$-fuzzy convergence spaces}, Fuzzy Sets and Systems, {\bf 159} (2008), 2503--2519.
\bibitem{yao}W. Yao, {\it On $L$-fuzzifying convergence spaces}, Iranian Journal of Fuzzy Systems, {\bf 6(1)}(2009), 63--80.