Fernández Fernández, Francisco Javier

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https://academica-e.unavarra.es/handle/2454/49013

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Fernández Fernández

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Francisco Javier

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Estadística, Informática y Matemáticas

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ISC. Institute of Smart Cities

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0000-0003-4427-3935

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88701

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8432

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Author: Beliakov, Gleb × Subject: Mixture function ×

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    PublicationOpen Access
    Mixture functions and their monotonicity
    (Elsevier, 2019) Špirková, Jana; Beliakov, Gleb; Bustince Sola, Humberto; Fernández Fernández, Francisco Javier; Estatistika, Informatika eta Matematika; Institute of Smart Cities - ISC; Estadística, Informática y Matemáticas
    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.