Arlegi Pérez, RicardoDimitrov, Dinko2016-09-192018-09-0120160165-489610.1016/j.mathsocsci.2016.06.004https://academica-e.unavarra.es/handle/2454/22189This paper is devoted to the study of how to extend a dichotomous partition of a universal set X into good and bad objects to an ordering on the power set of X. We introduce a family of rules that naturally take into account the number of good objects and the number of bad objects, and provide axiomatic characterizations of two rules that are particularly appealing when it comes to compating sets in which the goodapplication/pdfeng© 2016 Elsevier B.V. The manuscript version is made available under the CC BY-NC-ND 4.0 license.DichotomyObjectsSet extensionsRanking setsArtículo / ArtikuluaAcceso abierto / Sarbide irekiainfo:eu-repo/semantics/openAccess