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In this paper, we introduce the notions of L-fuzzy quasi-uniformities and L- fuzzy interior operators in complete residuated lattices. We investigate the L-fuzzy quasi- uniformities induced by L-fuzzy interior operators. We study the relationships between L- fuzzy interior operators and L-fuzzy quasi-uniformities. We give their examples.

$L$-FUZZY QUASI-UNIFORM SPACES INDUCED BY $L$-FUZZY INTERIOR SPACES