Bustince Sola, Humberto

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https://academica-e.unavarra.es/handle/2454/48764

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Bustince Sola

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Humberto

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Estadística, Informática y Matemáticas

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ISC. Institute of Smart Cities

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0000-0002-1279-6195

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88384

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278

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2014 - 20203
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Author: Zapata, Hugo × Start date: 2013 ×

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Now showing 1 - 3 of 3
  • Thumbnail Image
    PublicationOpen Access
    Some properties of implications via aggregation functions and overlap functions
    (Taylor & Francis, 2014) Zapata, Hugo; Bustince Sola, Humberto; Miguel Turullols, Laura de; Guerra Errea, Carlos; Automática y Computación; Automatika eta Konputazioa; Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa
    In this work, using the identification between implication operators and aggregation functions, we study the implication operators that are recovered from overlap functions. In particular, we focus in which properties of implication operators are preserved. We also study how negations can be defined in terms of overlap functions.
  • Thumbnail Image
    PublicationOpen Access
    T-overlap t-migrative functions: a generalization of migrativity in t-overlap functions
    (Universidad Distrital Francisco José de Caldas (Colombia), 2020) Zapata, Hugo; Bustince Sola, Humberto; Pereira Dimuro, Graçaliz; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika
    Este artículo introduce una generalización de funciones migrativas por extensión de la condición de la operación producto aplicada en las variables. Más específicamente, en lugar de exigir multiplicar la variable x por un número real alfa; en este trabajo se trabaja este número alfa con las variables de acuerdo a una t-norma. Se denomina a esta generalización función t-migrativa con respecto a tal tnorma. Luego se analizan las propiedades principales de funciones t-migrativas en funciones t-overlap y se introducen algunos métodos de construcción de este tipo de funciones.
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    PublicationOpen Access
    T-overlap functions: a generalization of bivariate overlap functions by t-norms
    (Springer, 2018) Zapata, Hugo; Pereira Dimuro, Graçaliz; Fernández Fernández, Francisco Javier; Bustince Sola, Humberto; Estatistika, Informatika eta Matematika; Institute of Smart Cities - ISC; Estadística, Informática y Matemáticas
    This paper introduces a generalization of overlap functions by extending one of the boundary conditions of its definition. More specifically, instead of requiring that 'the considered function is equal to zero if and only if some of the inputs is equal to zero' , we allow the range in which some t-norm is zero. We call such generalization by a t-overlap function with respect to such t-norm. Then we analyze the main properties of t-overlap function and introduce some construction methods.