Campión Arrastia, María JesúsCandeal, Juan CarlosGarcía Catalán, Olga RaquelGiarlotta, AlfioInduráin Eraso, Esteban2020-11-112020-11-1120180020-025510.1016/j.ins.2018.04.091https://academica-e.unavarra.es/handle/2454/38637In this paper we analyze the notion of a finite mean from an axiomatic point of view. We discuss several axiomatic alternatives, with the aim of establishing a universal definition reconciling all of them and exploring theoretical links to some branches of Mathematics as well as to multidisciplinary applications.33 p.application/pdfeng© 2018 Elsevier Inc. This manuscript version is made available under the CC-BY-NC-ND 4.0MeansAxiomaticsIterativityTotally ordered setsLatticesSemigroupsTopological spacesBinary operationsFunctional equationsSocial ChoiceRanking sets of objectsFuzzy Set Theoryinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccessAcceso abierto / Sarbide irekia