Miguel Turullols, Laura deSesma Sara, MikelElkano Ilintxeta, MikelAsiain Ollo, María JoséBustince Sola, Humberto2017-09-012019-09-0120171566-253510.1016/j.inffus.2017.01.007https://academica-e.unavarra.es/handle/2454/25496In this paper we propose an algorithm to solve group decision making problems using n-dimensional fuzzy sets, namely, sets in which the membership degree of each element to the set is given by an in- creasing tuple of n elements. The use of these sets has naturally led us to define admissible orders for n-dimensional fuzzy sets, to present a construction method for those orders and to study OWA operators for aggregating the tuples used to represent the membership degrees of the elements. In these condi- tions, we present an algorithm and apply it to a case study, in which we show that the exploitation phase which appears in many decision making methods can be omitted by just considering linear orders between tuples.application/pdfeng© 2017 Elsevier B.V. The manuscript version is made available under the CC BY-NC-ND 4.0 licenseFuzzy multisetsN-dimensional fuzzy setsOWA operatorDecision-makingArtículo / ArtikuluaAcceso abierto / Sarbide irekiainfo:eu-repo/semantics/openAccess