We propose to establish wine rankings using scores that depend on the differences between favorable and unfavorable opinions about each wine, according to the Borda rule. Unlike alternative approaches and specifications, this method is well-defined even if the panelists’ quality relations are not required to exhibit demanding properties such as transitivity or acyclicity. As an illustration, we apply the method to rank wines assessed by different experts and compare the resulting ranking with that obtained according to Condorcet's method of majority voting.