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: Díaz, Irene × Subject: Directional monotonicity ×

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    PublicationOpen Access
    On some classes of directionally monotone functions
    (Elsevier, 2020) Bustince Sola, Humberto; Mesiar, Radko; Kolesárová, Anna; Pereira Dimuro, Graçaliz; Fernández Fernández, Francisco Javier; Díaz, Irene; Montes Rodríguez, Susana; Estatistika, Informatika eta Matematika; Institute of Smart Cities - ISC; Estadística, Informática y Matemáticas
    In this work we consider some classes of functions with relaxed monotonicity conditions generalizing some other given classes of fusion functions. In particular, directionally increasing aggregation functions (called also pre-aggregation functions), directionally increasing conjunctors, or directionally increasing implications, etc., generalize the standard classes of aggregation functions, conjunctors, or implication functions, respectively. We analyze different properties of these classes of functions and we discuss a construction method in terms of linear combinations of t-norms.