Building rankings encompassing multiple criteria to support qualitative decision-making.

Decision makers are commonly challenged with comparing, and ultimately ranking, elements with regards to the degree to which they satisfy multiple criteria and in terms of their own preferences. This calls for a new decision making framework, which we formally present here. Within such a framework, we present multi-criteria lex-cel: a new method for ranking single elements. Furthermore, we formally establish that our contributions generalise recent results in the social choice literature. We also illustrate our contributions through a case study that poses an ethical decision-making problem.