Roldán López de Hierro, Antonio FranciscoSesma Sara, MikelŠpirková, JanaLafuente López, JulioPradera, AnaMesiar, RadkoBustince Sola, Humberto2020-01-272020-03-0520190308-107910.1080/03081079.2019.1586684https://academica-e.unavarra.es/handle/2454/36151In this work we propose a generalization of the notion of directional monotonicity. Instead of considering increasingness or decreasingness along rays, we allow more general paths defined by curves in the n-dimensional space. These considerations lead us to the notion of α-monotonicity, where α is the corresponding curve. We study several theoretical properties of α-monotonicity and relate it to other notions of monotonicity, such as weak monotonicity and directional monotonicity.30 p.application/pdfeng© 2019 Informa UK Limited, trading as Taylor & Francis Group.Fusion functionWeak monotonicityDirectional monotonicityCurve-based monotonicityinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess