Juan Li - School of Mathematics, Beijing Institute of Technology, Beijing ۱۰۰۰۸۱, PR China

The definition of L-fuzzy Q-convergence spaces is presented by Pang and Fang in ۲۰۱۱. However, Cartesian-closedness of the category of L-fuzzy Q-convergence spaces is not investigated. This paper focuses on Cartesian-closedness of the category of L-fuzzy Q-convergence spaces, and it is shown that  the category L-\mathbf{QFCS} of L-fuzzy Q-convergence spaces is Cartesian-closed.

L-fuzzy filter, L-fuzzy Q-convergence space, L-fuzzy topology, Cartesian-closedness