Castillo López, Aitor

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Castillo López

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Aitor

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Estadística, Informática y Matemáticas

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  • PublicationOpen Access
    On some classes of nullnorms and h-pseudo homogeneity
    (Elsevier, 2022) Lima, Lucélia; Bedregal, Benjamin; Rocha, Marcus; Castillo López, Aitor; Fernández Fernández, Francisco Javier; Bustince Sola, Humberto; Estatistika, Informatika eta Matematika; Institute of Smart Cities - ISC; Estadística, Informática y Matemáticas
    Nullnorms are aggregation functions which generalize t-norms and t-conorms. For each nullnorm there exists an annihilator element such that, below it, the function behaves like a t-conorm, and, above it, like a t-norm. In this paper, we study some classes of nullnorms which naturally arise from well known classes of t-norms and t-conorms, such as idempotent, Archimedean, cancellative, positive and nilpotent t-norms and t-conorms. We also present the concept of h-pseudo-homogeneous nullnorm and we study when these classes of nullnorms fullfill it.