Publication: Mixture functions and their monotonicity
Date
2019
Authors
Director
Publisher
Elsevier
Acceso abierto / Sarbide irekia
Artículo / Artikulua
Versión aceptada / Onetsi den bertsioa
Project identifier
ES/1PE/TIN2016-77356-P
Impacto
No disponible en Scopus
Abstract
We 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.
Description
Keywords
Aggregation function, Mixture function, Monotonicity, Weak monotonicity, Directional monotonicity
Department
Estatistika, Informatika eta Matematika / Institute of Smart Cities - ISC / Estadística, Informática y Matemáticas
Faculty/School
Degree
Doctorate program
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