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Mixture functions and their monotonicity
journal contribution
posted on 2019-05-01, 00:00 authored by J Špirková, Gleb BeliakovGleb Beliakov, H Bustince, J FernandezWe 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 sufficient conditions to ensure standard, weak and directional monotonicity for specific types of weighting functions. We also analyze directional monotonicity when differentiability is assumed.
History
Journal
Information sciencesVolume
481Pagination
520 - 549Publisher
ElsevierLocation
Amsterdam, The NetherlandsPublisher DOI
ISSN
0020-0255Language
engPublication classification
C1 Refereed article in a scholarly journalCopyright notice
2019, Elsevier Inc.Usage metrics
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