{"id":10735,"date":"1996-01-01T00:00:00","date_gmt":"1996-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/1996\/01\/01\/origen-y-uso-de-los-conjuntos-graduales-en-la-matematica-difusa\/"},"modified":"1996-01-01T00:00:00","modified_gmt":"1996-01-01T00:00:00","slug":"origen-y-uso-de-los-conjuntos-graduales-en-la-matematica-difusa","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/origen-y-uso-de-los-conjuntos-graduales-en-la-matematica-difusa\/","title":{"rendered":"Origen y uso de los conjuntos graduales en la matematica difusa."},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Herencia Gonzalez Jos\u00e9 Antonio <\/strong><\/h2>\n<p>En el trabajo se introduce un concepto nuevo denominado \u00abconjunto gradual\u00bb (definido como una familia decreciente de subconjuntos), junto con un criterio general de extension de conceptos clasicos a conjuntos graduales que permiten la extension inmediata de muchos resultados basicos de la matematica clasica. Se justifica la introduccion de estos conceptos por su relacion con los conjuntos difusos. Concretamente se demuestra un teorema de caracterizacion de los conjuntos graduales que generaliza al principio de resolucion zadeh y al teorema de representacion de negoita y ralescu. Tambien se relacionan los conceptos graduales introducidos con los correspondientes conceptos difusos, lo que permite obtener varios resultados nuevos en la matematica difusa.  entre ellos destaca la conexion entre los numeros de zadeh y los numeros de hutton, asi como la definicion de un criterio de convergencia para sucesiones de numeros difusos que solventa los inconvenientes planteados por kaleva y seikkala.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Origen y uso de los conjuntos graduales en la matematica difusa.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Origen y uso de los conjuntos graduales en la matematica difusa. <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Herencia Gonzalez Jos\u00e9 Antonio <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Granada<\/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>Juan  Carlos D\u00edaz  Alcaide<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  Lamata Jimenez M. Teresa <\/li>\n<li> Cruz Soto Jos\u00e9 Luis (vocal)<\/li>\n<li> Gil \u00e1lvarez Pedro \u00e1ngel (vocal)<\/li>\n<li>Buenaventura Clares Rodr\u00edguez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Herencia Gonzalez Jos\u00e9 Antonio En el trabajo se introduce un concepto nuevo denominado \u00abconjunto gradual\u00bb (definido como [&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 center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[2809,1890,2528,126,11714],"tags":[35611,18537,4033,35609,35293,35610],"class_list":["post-10735","post","type-post","status-publish","format-standard","hentry","category-algebra","category-ciencia-de-los-ordenadores","category-inteligencia-artificial","category-matematicas","category-teoria-de-la-representacion","tag-buenaventura-clares-rodriguez","tag-cruz-soto-jose-luis","tag-gil-alvarez-pedro-angel","tag-herencia-gonzalez-jose-antonio","tag-juan-carlos-diaz-alcaide","tag-lamata-jimenez-m-teresa"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/10735","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=10735"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/10735\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=10735"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=10735"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=10735"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}