{"id":74999,"date":"2018-03-09T23:20:08","date_gmt":"2018-03-09T23:20:08","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/espacios-casiseudometricos-fuzzy-completacion\/"},"modified":"2018-03-09T23:20:08","modified_gmt":"2018-03-09T23:20:08","slug":"espacios-casiseudometricos-fuzzy-completacion","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/espacios-casiseudometricos-fuzzy-completacion\/","title":{"rendered":"Espacios casiseudom\u00e9tricos fuzzy. completaci\u00f3n"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Mascarell Estruch Juan  Antonio <\/strong><\/h2>\n<p>Uno de los problemas m\u00e1s interesantes que se han suscitado en la topolog\u00eda fuzzy ha sido el de obtener un noci\u00f3n adecuada de espacio m\u00e9trico fuzzy. en este sentido, george y veeramani propusieron un nuevo concepto de espacio m\u00e9trico fuzzy abriendo as\u00ed una l\u00ednea de investigaci\u00f3n a la cual, gregori, romaguera y sapena han aportado resultados topol\u00f3gicos acerca de estos espacios. Nuestro trabajo prosigue el estudio de estos espacios abord\u00e1ndolos desde un punto de vista m\u00e1s general, al tratar de establecer propiedades para la noci\u00f3n de espacio casiseudom\u00e9trico fuzzy. La primera cuesti\u00f3n que planteamos, es la de proponer definiciones apropiadas al concepto de sucesi\u00f3n de cauchy, obtener resultados relativos a la completitud del espacio y obtener as\u00ed teoremas de categor\u00eda de baire. As\u00ed mismo, ofrecemos resultados acerca de la noci\u00f3n de compacidad y precompacidad para estos espacios. la cuesti\u00f3n de la completaci\u00f3n se aborda dividi\u00e9ndola en dos partes, en la primera se da una caracterizaci\u00f3n de la completaci\u00f3n para los espacios seudom\u00e9tricos fuzzy que generaliza y completa los resultados previos hasta ahora obtenidos. En la segunda parte, se plantea el estudio de la completaci\u00f3n para espacios casim\u00e9tricos fuzzy siguiendo las ideas de doitchivov para el caso usual. En ambos casos, la completaci\u00f3n que se propone coincide con la completac\u00f3n del espacio para el caso m\u00e9trico fuzzy. Se concluye el trabajo, con la introducci\u00f3n del concepto de norma fuzzy, dando para ello dos definiciones para esta noci\u00f3n. Veremos, que con ambas definiciones, la norma fuzzy genera un estructura de espacio vectorial topol\u00f3gico en el espacio lineal donde se define.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Espacios casiseudom\u00e9tricos fuzzy. completaci\u00f3n<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Espacios casiseudom\u00e9tricos fuzzy. completaci\u00f3n <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Mascarell Estruch Juan  Antonio <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de Valencia<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 24\/06\/2005<\/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>Salvador Romaguera Bonilla<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: manuel Sanchis lopez <\/li>\n<li>llu\u00eds miquel Garc\u00eda raffi (vocal)<\/li>\n<li> Ferrando perez Juan  Carlos (vocal)<\/li>\n<li>oscar Valero sierra (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Mascarell Estruch Juan Antonio Uno de los problemas m\u00e1s interesantes que se han suscitado en la topolog\u00eda [&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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