{"id":16830,"date":"2002-11-05T00:00:00","date_gmt":"2002-11-05T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/funcions-daagregacio-multidimensionals\/"},"modified":"2002-11-05T00:00:00","modified_gmt":"2002-11-05T00:00:00","slug":"funcions-daagregacio-multidimensionals","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/funcions-daagregacio-multidimensionals\/","title":{"rendered":"Funcions d\u00c2\u00bfagregacio multidimensionals"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Jaume Su\u00f1er Llabres <\/strong><\/h2>\n<p>Este trabajo pretende llenar un vac\u00edo en el campo de la agregaci\u00f3n de la informaci\u00f3n en un entorno borroso. Hasta ahora, la mayor\u00eda de trabajos definen una funci\u00f3n de agregaci\u00f3n sobre un ret\u00edculo l con m\u00ednimo 0 y m\u00e1ximo 1 como una aplicaci\u00f3n f: u ln&#8212;&gt; l mon\u00f3tona respecto del orden producto, con 0 y 1 como elementos idempotentes y tal que, para n=1, es la identidad. nosotros damos a estas funciones un sentido verdaderamente multidimensional mediante dos \u00f3rdenes,      , que permiten comparar elementos de u ln de longitudes diferentes. Obtenemos as\u00ed tres familias de funciones de agregaci\u00f3n multidimensionales. El cap\u00edtulo 2 empieza analizando estos dos \u00f3rdenes y las monoton\u00edas asociadas. Estudiamos tambi\u00e9n otras propiedades deseables para una funci\u00f3n de agregaci\u00f3n multidimensional. Posteriormente tratamos la generaci\u00f3n de funciones de agregaci\u00f3n multidimensionales por recurrencia, para terminar analizando la agregaci\u00f3n multidimensional por medio de integrales discretas de choquet y de sugeno respecto de una medida borrosa multidimensional.  el tercer cap\u00edtulo estudia la agregaci\u00f3n multidimensional a partir de operadores que requieren lo que llamamos tri\u00e1ngulos de pesos para su definici\u00f3n: los operadores owa y las medias ponderadas. Para ello, se estudian los tri\u00e1ngulos regulares y los descendentes, que son los que hacen, respectivamente, que los operadores anteriores sean una funci\u00f3n de agregaci\u00f3n multidimensional. el tema termina proponiendo un modelo general de funci\u00f3n de agregaci\u00f3n definida a partir de un tri\u00e1ngulo de pesos que incluye los dos operadores anteriormente citados.  finalmente, el \u00faltimo cap\u00edtulo est\u00e1 dedicado a mostrar dos aplicaciones de las funciones de agregaci\u00f3n multidimensionales en el caso de informaci\u00f3n dada por etiquetas ling\u00ed\u00bcisticas. Primeramente se estudia como, mediante el principio de extensi\u00f3n de zadeh, podemos obtener funciones de agregaci\u00f3n multidimensionales sobre e<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Funcions d\u00c2\u00bfagregacio multidimensionals<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Funcions d\u00c2\u00bfagregacio multidimensionals <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Jaume Su\u00f1er Llabres <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Illes balears<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 11\/05\/2002<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Gaspar Mayor Forteza<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: enric Trillas ru\u00edz <\/li>\n<li>pedro Jes\u00fas Burillo lopez (vocal)<\/li>\n<li>claudi Alsina catala (vocal)<\/li>\n<li>lloren\u00ed\u00a7 Valverde garcia (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Jaume Su\u00f1er Llabres Este trabajo pretende llenar un vac\u00edo en el campo de la agregaci\u00f3n de la [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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