Špirková, JanaBeliakov, GlebBustince Sola, HumbertoFernández Fernández, Francisco Javier2020-01-132020-04-0120190020-025510.1016/j.ins.2018.12.090https://academica-e.unavarra.es/handle/2454/36055We consider mixture functions, which are a type of weighted averages for which the corresponding weights are calculated by means of appropriate continuous functions of their inputs. In general, these mixture function need not be monotone increasing. For this reason we study su cient conditions to ensure standard, weak and directional monotonicity for speci c types of weighting functions. We also analyze directional monotonicity when di erentiability is assumed.43 p.application/pdfeng© 2019 Elsevier Inc. This manuscript version is made available under the CC-BY-NC-ND 4.0.Aggregation functionMixture functionMonotonicityWeak monotonicityDirectional monotonicityinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess