{"id":132404,"date":"1996-01-01T00:00:00","date_gmt":"1996-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/ecuaciones-relacionales-difusas-para-operadores-de-agregacion\/"},"modified":"1996-01-01T00:00:00","modified_gmt":"1996-01-01T00:00:00","slug":"ecuaciones-relacionales-difusas-para-operadores-de-agregacion","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/ecuaciones-relacionales-difusas-para-operadores-de-agregacion\/","title":{"rendered":"Ecuaciones relacionales difusas para operadores de agregacion"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Portilla Manjon Miren Iosu <\/strong><\/h2>\n<p>En la memoria se realiza una labor de sintesis de los diversos operadores de agregacion presentes en la literatura sobre conjuntos difusos, se\u00f1alando sus definiciones, tanto en el contexto de operadores difusos dado por funciones con valores en     , como en el contexto aplicado de opiniones y relaciones de preferencia difusas. A partir de un analisis coparativo de las condiciones exigidas en dichas definiciones, se propone un operador de agregacion que recoge las exigencias mas usuales en tales operadores y del que se estudian nuevas propiedades. Basandonos en dicha agregacion se definen las composiciones max-f y mon-f de relaciones binarias difusas y de una relacion con un conjunto difuso y se analian sus propiedades respecto a la monotonia, la distributividad respecto a la union y la interseccion difusas, la asociatividad y la conservacion de inversas, de los sobconjuntos de nivel y de las proyecciones. Esta parte concluye con el estudio de la composicion de relaciones binarias difusas reflexivas, antirreflexivas y simetricas. Finalmente, se plantean las ecuaciones relacionales difusas basadas en las composiciones anteriores y se proponen metodos de construccion de nuevas soluciones a partir de soluciones conocidas. Tambien se obtienen soluciones mayorantes y minorantes de los problemas habituales, analizando las condiciones necesarias y suficientes para que las relaciones que son soluciones de dichas ecuaciones sea reflexivas, antirreflexivas o antisimetricas segun zadeh.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Ecuaciones relacionales difusas para operadores de agregacion<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Ecuaciones relacionales difusas para operadores de agregacion <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Portilla Manjon Miren Iosu <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 P\u00fablica de navarra<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1996<\/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>Pedro Jes\u00fas Burillo Lopez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  Gil \u00e1lvarez Pedro \u00e1ngel <\/li>\n<li>Luis L\u00f3pez Corral (vocal)<\/li>\n<li>Eladio Dom\u00ednguez Murillo (vocal)<\/li>\n<li>Elena Abascal Fernandez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Portilla Manjon Miren Iosu En la memoria se realiza una labor de sintesis de los diversos operadores [&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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