Categories isomorphic to the category of $L$-fuzzy closure system spaces

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 bibitem{ger2} G. Gerla, {it Graded consequence relations and fuzzy
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 bibitem{hoh2}U. H"{o}hle and A. P. v{S}ostak, {it Axiomatic  foundations of fixed-basis fuzzy topology}, In cite{hoh}, 123--173.

 bibitem{kim1} Y. C. Kim, {it Initial $L$-fuzzy closure spaces}, Fuzzy Sets and Systems, {bf 133} (2003), 277--297.

 bibitem{kim} Y. C. Kim and J. M. Ko, {it Fuzzy closure systems and fuzzy
 closure operators}, Commun. Korean Math. Soc., {textbf 19}{bf(1)} (2004), 35--51.

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 Fuzzy Sets and Systems, {bf 158} (2007), 1246--1257.

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  closure operators}, Iranian Journal of Fuzzy Systems, {textbf 8}{bf(1)} (2011), 77--94.

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bibitem{rod2} S. E. Rodabaugh, {it Categorical foundations of variable-basis fuzzy topology}, in cite{hoh}, 273--388.

{bibitem{rod3} S. E. Rodabaugh, {it Relationship of algebraic theories to powerset theories and fuzzy topological theories for lattice-valued mathematics}, Int. J. Math. Math. Sci., {bf 2007(3)} (2007), 1--71.}

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  closures}, Fuzzy Sets and Systems, {bf 160} (2009), 1218--1232.

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  Rend. Circ. Mat. Palermo, (Supp. Ser. II), {bf 11} (1985), 83--103 .

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  spaces}, J. Fuzzy Math., {bf 2} (1994), 525--534.

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  lattices}, Fuzzy Sets and Systems, {bf 47}{bf(3)} (1992), 351--376.

  bibitem{wangl} L. Wang and F. G. Shi,  {it Charaterization of $L$-fuzzifying matroids by $L$-fuzzifying closure operators},
  Iranian Journal of Fuzzy Systems, {bf 7} (2010), 47--58.

 bibitem{yue} Y. L. Yue and J. M. Fang, {it Categories isomorphic to the Kubiak-u{S}ostak extension of
  TML}, Fuzzy Sets and Systems, {bf 157} (2006), 832--842.

 bibitem{zhou} W. Zhou, {it  Generalization of $L$-closure spaces}, Fuzzy Sets and Systems, {bf 149} (2005), 415--432.