Abstract: To further study L-fuzzy closure system.Another determination of L-fuzzy closure systems are studied with thehelp of idea of one-to-one correspondence and method of category.Let X be a set.L a Hutton algebra,we first introduce definitions of L-fuzzy weak neighborhood operators and their L-fuzzy continuous mappings.Then let L-FCSS be the category L-fuzzy closure system spaces and their L-fuzzy continuous mappings,L-FWNS be the category L-fuzzy weak neighborhood spaces and their continuous mappings,it mainly gives that L-FCSS is isomorphic to L-FWNS.