Sesma Sara, MikelMiguel Turullols, Laura deLafuente López, JulioBarrenechea Tartas, EdurneMesiar, RadkoBustince Sola, Humberto2020-01-152020-01-152018978-3-319-91476-310.1007/978-3-319-91476-3_35https://academica-e.unavarra.es/handle/2454/36072Trabajo presentado a la 17th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2018. Cádiz, junio de 2018A tendency in the theory of aggregation functions is the generalization of the monotonicity condition. In this work, we examine the latest developments in terms of different generalizations. In particular, we discuss strengthened ordered directional monotonicity, its relation to other types of monotonicity, such as directional and ordered directional monotonicity and the main properties of the class of functions that are strengthened ordered directionally monotone. We also study some construction methods for such functions and provide a characterization of usual monotonicity in terms of these notions of monotonicity.11 p.application/pdfeng© Springer International Publishing AG, part of Springer Nature 2018Aggregation functionsDirectional monotonicityGeneralizations of monotonicityStrengthened ordered directional monotonicityinfo:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/openAccess