Miguel Turullols, Laura de

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https://academica-e.unavarra.es/handle/2454/49579

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Miguel Turullols

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Laura de

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Estadística, Informática y Matemáticas

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ISC. Institute of Smart Cities

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0000-0002-7665-2801

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88811

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810922

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2016 - 20182
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Author: Barrenechea Tartas, Edurne ×

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Now showing 1 - 2 of 2
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    PublicationOpen Access
    Strengthened ordered directional and other generalizations of monotonicity for aggregation functions
    (Springer, 2018) Sesma Sara, Mikel; Miguel Turullols, Laura de; Lafuente López, Julio; Barrenechea Tartas, Edurne; Mesiar, Radko; Bustince Sola, Humberto; Estatistika, Informatika eta Matematika; Institute of Smart Cities - ISC; Estadística, Informática y Matemáticas; Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa
    A tendency in the theory of aggregation functions is the generalization of the monotonicity condition. In this work, we examine the latest developments in terms of different generalizations. In particular, we discuss strengthened ordered directional monotonicity, its relation to other types of monotonicity, such as directional and ordered directional monotonicity and the main properties of the class of functions that are strengthened ordered directionally monotone. We also study some construction methods for such functions and provide a characterization of usual monotonicity in terms of these notions of monotonicity.
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    PublicationOpen Access
    Unbalanced interval-valued OWA operators
    (Springer Berlin Heidelberg, 2016) Miguel Turullols, Laura de; Bustince Sola, Humberto; Barrenechea Tartas, Edurne; Pagola Barrio, Miguel; Fernández Fernández, Francisco Javier; Automatika eta Konputazioa; Institute of Smart Cities - ISC; Automática y Computación
    In this work, we introduce a new class of functions defned on the interval-valued setting. These functions extend classical OWA operators but allow for diferent weighting vectors to handle the lower bounds and the upper bounds of the considered intervals. As a consequence, the resulting functions need not be an interval-valued aggregation function, so we study, in the case of the lexicographical order, when these operators give an interval as output and are monotone. We also discuss an illustrative example on a decision making problem in order to show the usefulness of our developments.