Before revision:  We propose two variants of weighted envy-freeness up to one item (WEF1): strong, where the envy can be eliminated by removing an item from the envied agent's bundle, and weak, where the envy can be eliminated either by removing an item  as in the strong version  or by replicating an item from the envied agent's bundle in the envying agent's bundle.
After revision:  We propose two variants of weighted envy-freeness up to one item (WEF1): strong, where the envy can be eliminated by removing an item from the envied agent's bundle, and weak, where the envy can be eliminated either by removing an item ( as in the strong version or by replicating an item from the envied agent's bundle in the envying agent's bundle.