Campión Arrastia, María JesúsDíaz, IreneInduráin Eraso, EstebanMartín, JavierMayor, GasparMontes Rodríguez, SusanaRaventós Pujol, Armajac2021-12-282021-12-2820210165-011410.1016/j.fss.2021.05.010https://academica-e.unavarra.es/handle/2454/41503Starting from the notion of a multidistance, we formalize, through a suitable system of axioms, the concept of an inequality measure defined on a nonempty set with no additional structure implemented a priori. Among inequality measures, apart from multidistances we pay special attention to dispersions, and study their main features. Classical concepts will be generalized to this abstract setting. Multidistances are then revisited, and some new methods to generate them are implemented. A wide spectrum of interdisciplinary applications is outlined in the final section.16 p.application/pdfeng© 2021 The Authors. Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 InternationalAxiomatic definitions of means and dispersionsInequality measures on general setsMultidistancesMultidistances and inequality measures on abstract sets: an axiomatic approachinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess