Sesma Sara, Mikel

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https://academica-e.unavarra.es/handle/2454/50035

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Sesma Sara

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Mikel

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Estadística, Informática y Matemáticas

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0000-0002-2949-7909

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88846

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811208

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2017 - 20193
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Author: Marco Detchart, Cedric × Has files: true ×

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Now showing 1 - 3 of 3
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    PublicationOpen Access
    Directions of directional, ordered directional and strengthened ordered directional increasingness of linear and ordered linear fusion operators
    (IEEE, 2019) Sesma Sara, Mikel; Marco Detchart, Cedric; Lafuente López, Julio; Roldán López de Hierro, Antonio Francisco; 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
    In this work we discuss the forms of monotonicity that have been recently introduced to relax the monotonicity condition in the definition of aggregation functions. We focus on directional, ordered directional and strengthened ordered directional monotonicity, study their main properties and provide some results about their links and relations among them. We also present two families of functions, the so-called linear fusion functions and ordered linear fusion functions and we study the set of directions for which these types of functions are directionally, ordered directionally and strengthened ordered directionally increasing. In particular, OWA operators are an example of ordered linear fusion functions.
  • Thumbnail Image
    PublicationOpen Access
    Some properties and construction methods for ordered directionally monotone functions
    (IEEE, 2017-08-24) Sesma Sara, Mikel; Marco Detchart, Cedric; Bustince Sola, Humberto; Barrenechea Tartas, Edurne; Lafuente López, Julio; Kolesárová, Anna; Mesiar, Radko; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika; Institute of Smart Cities - ISC
    In this work we propose a new generalization of the notion of monotonicity, the so-called ordered directionally monotonicity. With this new notion, the direction of increasingness or decreasingness at a given point depends on that specific point, so that it is not the same for every value on the domain of the considered function.
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    PublicationOpen Access
    A generalization of the gravitational search algorithm
    (Springer, 2017-05-19) Bustince Sola, Humberto; Minárová, María; Fernández Fernández, Francisco Javier; Sesma Sara, Mikel; Marco Detchart, Cedric; Ruiz-Aranguren, Javier; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika; Institute of Smart Cities - ISC
    In this work we propose a generalization of the gravitational search algorithm where the product in the expression of the gravitational attraction force is replaced by more general functions. We study some conditions which ensure convergence of our proposal and we show that we recover a wide class of aggregation functions to replace the product.