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Pereira Dimuro, Graçaliz

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https://academica-e.unavarra.es/handle/2454/49759

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Pereira Dimuro

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Graçaliz

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Automática y Computación

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0000-0001-6986-9888

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811336

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2021 - 20232
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Author: Fernández Fernández, Francisco Javier × Subject: Overlap functions × Start date: 2020 × End date: 2023 ×

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Now showing 1 - 2 of 2
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    PublicationOpen Access
    On fuzzy implications derived from general overlap functions and their relation to other classes
    (MDPI, 2023) Pinheiro, Jocivania; Santos, Helida; Pereira Dimuro, Graçaliz; Callejas Bedregal, Benjamin; Santiago, Regivan; Fernández Fernández, Francisco Javier; Bustince Sola, Humberto; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika; Institute of Smart Cities - ISC
    There are distinct techniques to generate fuzzy implication functions. Despite most of them using the combination of associative aggregators and fuzzy negations, other connectives such as (general) overlap/grouping functions may be a better strategy. Since these possibly non-associative operators have been successfully used in many applications, such as decision making, classification and image processing, the idea of this work is to continue previous studies related to fuzzy implication functions derived from general overlap functions. In order to obtain a more general and flexible context, we extend the class of implications derived by fuzzy negations and t-norms, replacing the latter by general overlap functions, obtaining the so-called (GO, N)-implication functions. We also investigate their properties, the aggregation of (GO, N)-implication functions, their characterization and the intersections with other classes of fuzzy implication functions.
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    PublicationOpen Access
    The evolution of the notion of overlap functions
    (Springer, 2021) Bustince Sola, Humberto; Mesiar, Radko; Pereira Dimuro, Graçaliz; Fernández Fernández, Francisco Javier; Callejas Bedregal, Benjamin; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika
    In this chapter we make a review of the notion of overlap function. Although originally developed in order to determine up to what extent a given element belongs to two sets, overlap functions have widely developed in the last years for very different problems. We recall here the motivation that led to the introduction of this new notion and we discuss further theoretical developments that have appeared to deal with other types of problems.