{"id":4162,"date":"2023-05-15T18:19:51","date_gmt":"2023-05-15T18:19:51","guid":{"rendered":"https:\/\/isipta23.sipta.org\/?page_id=4162"},"modified":"2023-07-12T07:16:32","modified_gmt":"2023-07-12T07:16:32","slug":"long-benavoli","status":"publish","type":"page","link":"https:\/\/isipta23.sipta.org\/accepted-papers\/long-benavoli\/","title":{"rendered":"Long Benavoli"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"4162\" class=\"elementor elementor-4162\" data-elementor-post-type=\"page\">\n\t\t\t\t\t\t\t\t\t<section data-eae-particle=\"{\n  &quot;particles&quot;: {\n    &quot;number&quot;: {\n      &quot;value&quot;: 80,\n      &quot;density&quot;: {\n        &quot;enable&quot;: true,\n        &quot;value_area&quot;: 800\n      }\n    },\n    &quot;color&quot;: {\n      &quot;value&quot;: &quot;#ffffff&quot;\n    },\n    &quot;shape&quot;: {\n      &quot;type&quot;: &quot;circle&quot;,\n      &quot;stroke&quot;: {\n        &quot;width&quot;: 0,\n        &quot;color&quot;: &quot;#000000&quot;\n      },\n      &quot;polygon&quot;: {\n        &quot;nb_sides&quot;: 5\n      },\n      &quot;image&quot;: {\n        &quot;src&quot;: &quot;img\/github.svg&quot;,\n        &quot;width&quot;: 100,\n        &quot;height&quot;: 100\n      }\n    },\n    &quot;opacity&quot;: {\n      &quot;value&quot;: 0.5,\n      &quot;random&quot;: false,\n      &quot;anim&quot;: {\n        &quot;enable&quot;: false,\n        &quot;speed&quot;: 1,\n        &quot;opacity_min&quot;: 0.1,\n        &quot;sync&quot;: false\n      }\n    },\n    &quot;size&quot;: {\n      &quot;value&quot;: 3,\n      &quot;random&quot;: true,\n      &quot;anim&quot;: {\n        &quot;enable&quot;: false,\n        &quot;speed&quot;: 40,\n        &quot;size_min&quot;: 0.1,\n        &quot;sync&quot;: false\n      }\n    },\n    &quot;line_linked&quot;: {\n      &quot;enable&quot;: true,\n      &quot;distance&quot;: 150,\n      &quot;color&quot;: &quot;#ffffff&quot;,\n      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data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;shape_divider_bottom&quot;:&quot;wave-brush&quot;}\">\n\t\t\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t<div class=\"elementor-shape elementor-shape-bottom\" data-negative=\"false\">\n\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 283.5 27.8\" preserveAspectRatio=\"none\">\n\t<path class=\"elementor-shape-fill\" d=\"M283.5,9.7c0,0-7.3,4.3-14,4.6c-6.8,0.3-12.6,0-20.9-1.5c-11.3-2-33.1-10.1-44.7-5.7\ts-12.1,4.6-18,7.4c-6.6,3.2-20,9.6-36.6,9.3C131.6,23.5,99.5,7.2,86.3,8c-1.4,0.1-6.6,0.8-10.5,2c-3.8,1.2-9.4,3.8-17,4.7\tc-3.2,0.4-8.3,1.1-14.2,0.9c-1.5-0.1-6.3-0.4-12-1.6c-5.7-1.2-11-3.1-15.8-3.7C6.5,9.2,0,10.8,0,10.8V0h283.5V9.7z M260.8,11.3\tc-0.7-1-2-0.4-4.3-0.4c-2.3,0-6.1-1.2-5.8-1.1c0.3,0.1,3.1,1.5,6,1.9C259.7,12.2,261.4,12.3,260.8,11.3z 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d=\"M154.5,26.7c-0.1-0.1-4.6,0.3-7.2,0c-7.3-0.7-17-3.2-16.6-2.9c0.4,0.3,13.7,3.1,17,3.3\tC152.6,27.5,154.6,26.8,154.5,26.7z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M41.9,19.3c0,0,1.2-0.3,2.9-0.1c1.7,0.2,5.8,0.9,8.2,0.7c4.2-0.4,7.4-2.7,7-2.6\tc-0.4,0-4.3,2.2-8.6,1.9c-1.8-0.1-5.1-0.5-6.7-0.4S41.9,19.3,41.9,19.3z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M75.5,12.6c0.2,0.1,2-0.8,4.3-1.1c2.3-0.2,2.1-0.3,2.1-0.5c0-0.1-1.8-0.4-3.4,0\tC76.9,11.5,75.3,12.5,75.5,12.6z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M15.6,13.2c0-0.1,4.3,0,6.7,0.5c2.4,0.5,5,1.9,5,2c0,0.1-2.7-0.8-5.1-1.4\tC19.9,13.7,15.7,13.3,15.6,13.2z\"\/>\n<\/svg>\t\t<\/div>\n\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-b1b1d02\" data-id=\"b1b1d02\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-cd1ef36 elementor-widget elementor-widget-image\" data-id=\"cd1ef36\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.16.0 - 20-09-2023 *\/\n.elementor-widget-image{text-align:center}.elementor-widget-image a{display:inline-block}.elementor-widget-image a img[src$=\".svg\"]{width:48px}.elementor-widget-image img{vertical-align:middle;display:inline-block}<\/style>\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" loading=\"lazy\" width=\"1024\" height=\"128\" src=\"https:\/\/isipta23.sipta.org\/wp-content\/uploads\/2022\/08\/LogoISIPTA23-long-white-1024x128.png\" class=\"attachment-large size-large wp-image-546\" alt=\"LogoISIPTA23-long-white\" srcset=\"https:\/\/isipta23.sipta.org\/wp-content\/uploads\/2022\/08\/LogoISIPTA23-long-white-1024x128.png 1024w, https:\/\/isipta23.sipta.org\/wp-content\/uploads\/2022\/08\/LogoISIPTA23-long-white-300x38.png 300w, https:\/\/isipta23.sipta.org\/wp-content\/uploads\/2022\/08\/LogoISIPTA23-long-white-768x96.png 768w, https:\/\/isipta23.sipta.org\/wp-content\/uploads\/2022\/08\/LogoISIPTA23-long-white.png 1284w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-017a3c3 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"017a3c3\" data-element_type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.16.0 - 20-09-2023 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.elementor-divider__element{margin-right:0}.elementor-widget-divider:not(.elementor-widget-divider--view-line_text):not(.elementor-widget-divider--view-line_icon) .elementor-divider-separator{border-top:var(--divider-border-width) var(--divider-border-style) var(--divider-color)}.elementor-widget-divider--separator-type-pattern{--divider-border-style:none}.elementor-widget-divider--separator-type-pattern.elementor-widget-divider--view-line .elementor-divider-separator,.elementor-widget-divider--separator-type-pattern:not(.elementor-widget-divider--view-line) .elementor-divider-separator:after,.elementor-widget-divider--separator-type-pattern:not(.elementor-widget-divider--view-line) .elementor-divider-separator:before,.elementor-widget-divider--separator-type-pattern:not([class*=elementor-widget-divider--view]) .elementor-divider-separator{width:100%;min-height:var(--divider-pattern-height);-webkit-mask-size:var(--divider-pattern-size) 100%;mask-size:var(--divider-pattern-size) 100%;-webkit-mask-repeat:var(--divider-pattern-repeat);mask-repeat:var(--divider-pattern-repeat);background-color:var(--divider-color);-webkit-mask-image:var(--divider-pattern-url);mask-image:var(--divider-pattern-url)}.elementor-widget-divider--no-spacing{--divider-pattern-size:auto}.elementor-widget-divider--bg-round{--divider-pattern-repeat:round}.rtl .elementor-widget-divider .elementor-divider__text{direction:rtl}.e-con-inner>.elementor-widget-divider,.e-con>.elementor-widget-divider{width:var(--container-widget-width,100%);--flex-grow:var(--container-widget-flex-grow)}<\/style>\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9adf215 elementor-widget elementor-widget-heading\" data-id=\"9adf215\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.16.0 - 20-09-2023 *\/\n.elementor-heading-title{padding:0;margin:0;line-height:1}.elementor-widget-heading .elementor-heading-title[class*=elementor-size-]>a{color:inherit;font-size:inherit;line-height:inherit}.elementor-widget-heading .elementor-heading-title.elementor-size-small{font-size:15px}.elementor-widget-heading .elementor-heading-title.elementor-size-medium{font-size:19px}.elementor-widget-heading .elementor-heading-title.elementor-size-large{font-size:29px}.elementor-widget-heading .elementor-heading-title.elementor-size-xl{font-size:39px}.elementor-widget-heading .elementor-heading-title.elementor-size-xxl{font-size:59px}<\/style><h2 class=\"elementor-heading-title elementor-size-default\">Benavoli, Facchini and Zaffalon<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-fac39ee elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"fac39ee\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-daa0aae\" data-id=\"daa0aae\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b4d9d71 elementor-widget elementor-widget-text-editor\" data-id=\"b4d9d71\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.16.0 - 20-09-2023 *\/\n.elementor-widget-text-editor.elementor-drop-cap-view-stacked .elementor-drop-cap{background-color:#69727d;color:#fff}.elementor-widget-text-editor.elementor-drop-cap-view-framed .elementor-drop-cap{color:#69727d;border:3px solid;background-color:transparent}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap{margin-top:8px}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap-letter{width:1em;height:1em}.elementor-widget-text-editor .elementor-drop-cap{float:left;text-align:center;line-height:1;font-size:50px}.elementor-widget-text-editor .elementor-drop-cap-letter{display:inline-block}<\/style>\t\t\t\t<a class=\"boton-volver\" href=\"javascript:history.back()\">\u2aa1 Back<\/a>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-99180d5 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"99180d5\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-1cf27c4\" data-id=\"1cf27c4\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-63d4f60 elementor-widget elementor-widget-heading\" data-id=\"63d4f60\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\">Closure operators, classifiers and desirability<\/h1>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-56b42ba elementor-widget elementor-widget-heading\" data-id=\"56b42ba\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<span class=\"elementor-heading-title elementor-size-default\">At the core of Bayesian probability theory, or dually desirability theory, lies an assumption of linearity of the scale in which rewards are measured. We revisit two recent papers that extended desirability theory to the nonlinear case by letting the utility scale be represented either by a general closure operator [Miranda22] or by a binary general (nonlinear) classifier [Casanova22]. By using standard results in logic, we highlight the connection between these two approaches and show that this connection allows us to extend the separating hyper plane theorem (which is at the core of the duality between Bayesian decision theory and desirability theory) to the nonlinear case.<\/span>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-16e684c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"16e684c\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-880abf0\" data-id=\"880abf0\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-9ce3594 oew-align-center elementor-widget elementor-widget-oew-button-effects\" data-id=\"9ce3594\" data-element_type=\"widget\" data-widget_type=\"oew-button-effects.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\r\n\r\n\t\t<div class=\"oew-button oew-btn-effect-30\">\r\n\t\t\t<a href=\"https:\/\/isipta23.sipta.org\/wp-content\/uploads\/2023\/06\/benavoli23a.pdf\" class=\"oew-link\">\r\n\t\t\t\t\r\n\t\t\t\t<span>PAPER<\/span>\r\n\r\n\t\t\t\t\t\t\t<\/a>\r\n\t\t<\/div>\r\n\r\n\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-edecd34\" data-id=\"edecd34\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2bc9857 oew-align-center elementor-widget elementor-widget-oew-button-effects\" data-id=\"2bc9857\" data-element_type=\"widget\" data-widget_type=\"oew-button-effects.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\r\n\r\n\t\t<div class=\"oew-button oew-btn-effect-30\">\r\n\t\t\t<a href=\"https:\/\/isipta23.sipta.org\/wp-content\/uploads\/2023\/07\/3benavoli.pdf\" class=\"oew-link\">\r\n\t\t\t\t\r\n\t\t\t\t<span>PRESENTATION<\/span>\r\n\r\n\t\t\t\t\t\t\t<\/a>\r\n\t\t<\/div>\r\n\r\n\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-978efbe\" data-id=\"978efbe\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-676955e oew-align-center elementor-widget elementor-widget-oew-button-effects\" data-id=\"676955e\" data-element_type=\"widget\" data-widget_type=\"oew-button-effects.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\r\n\r\n\t\t<div class=\"oew-button oew-btn-effect-30\">\r\n\t\t\t<a href=\"https:\/\/isipta23.sipta.org\/wp-content\/uploads\/2023\/07\/benavoli-poster.pdf\" class=\"oew-link\">\r\n\t\t\t\t\r\n\t\t\t\t<span>POSTER<\/span>\r\n\r\n\t\t\t\t\t\t\t<\/a>\r\n\t\t<\/div>\r\n\r\n\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-dd2b88d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"dd2b88d\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-e2b8390\" data-id=\"e2b8390\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-e9aa4b4 elementor-widget elementor-widget-text-editor\" data-id=\"e9aa4b4\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<a class=\"boton-volver\" href=\"javascript:history.back()\">\u2aa1 Back<\/a>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Benavoli, Facchini and Zaffalon \u2aa1 Back Closure operators, classifiers and desirability At the core of Bayesian probability theory, or dually desirability theory, lies an assumption of linearity of the scale in which rewards are measured. We revisit two recent papers that extended desirability theory to the nonlinear case by letting the utility scale be represented [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":3821,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"elementor_header_footer","meta":{"footnotes":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Long Benavoli - ISIPTA 2023<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/isipta23.sipta.org\/accepted-papers\/long-benavoli\/\" \/>\n<meta property=\"og:locale\" content=\"en_GB\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Long Benavoli - ISIPTA 2023\" \/>\n<meta property=\"og:description\" content=\"Benavoli, Facchini and Zaffalon \u2aa1 Back Closure operators, classifiers and desirability At the core of Bayesian probability theory, or dually desirability theory, lies an assumption of linearity of the scale in which rewards are measured. We revisit two recent papers that extended desirability theory to the nonlinear case by letting the utility scale be represented [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/isipta23.sipta.org\/accepted-papers\/long-benavoli\/\" \/>\n<meta property=\"og:site_name\" content=\"ISIPTA 2023\" \/>\n<meta property=\"article:modified_time\" content=\"2023-07-12T07:16:32+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/isipta23.sipta.org\/wp-content\/uploads\/2022\/08\/LogoISIPTA23-long-white-1024x128.png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Estimated reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/isipta23.sipta.org\/accepted-papers\/long-benavoli\/\",\"url\":\"https:\/\/isipta23.sipta.org\/accepted-papers\/long-benavoli\/\",\"name\":\"Long Benavoli - ISIPTA 2023\",\"isPartOf\":{\"@id\":\"https:\/\/isipta23.sipta.org\/#website\"},\"datePublished\":\"2023-05-15T18:19:51+00:00\",\"dateModified\":\"2023-07-12T07:16:32+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/isipta23.sipta.org\/accepted-papers\/long-benavoli\/#breadcrumb\"},\"inLanguage\":\"en-GB\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/isipta23.sipta.org\/accepted-papers\/long-benavoli\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/isipta23.sipta.org\/accepted-papers\/long-benavoli\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Portada\",\"item\":\"https:\/\/isipta23.sipta.org\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Accepted Papers\",\"item\":\"https:\/\/isipta23.sipta.org\/accepted-papers\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Long Benavoli\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/isipta23.sipta.org\/#website\",\"url\":\"https:\/\/isipta23.sipta.org\/\",\"name\":\"ISIPTA 2023\",\"description\":\"The International Symposium on Imprecise Probabilities\",\"publisher\":{\"@id\":\"https:\/\/isipta23.sipta.org\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/isipta23.sipta.org\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-GB\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/isipta23.sipta.org\/#organization\",\"name\":\"ISIPTA 2023\",\"url\":\"https:\/\/isipta23.sipta.org\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-GB\",\"@id\":\"https:\/\/isipta23.sipta.org\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/isipta23.sipta.org\/wp-content\/uploads\/2022\/08\/cropped-LogoISIPTA23-white.png\",\"contentUrl\":\"https:\/\/isipta23.sipta.org\/wp-content\/uploads\/2022\/08\/cropped-LogoISIPTA23-white.png\",\"width\":500,\"height\":500,\"caption\":\"ISIPTA 2023\"},\"image\":{\"@id\":\"https:\/\/isipta23.sipta.org\/#\/schema\/logo\/image\/\"}}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Long Benavoli - ISIPTA 2023","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/isipta23.sipta.org\/accepted-papers\/long-benavoli\/","og_locale":"en_GB","og_type":"article","og_title":"Long Benavoli - ISIPTA 2023","og_description":"Benavoli, Facchini and Zaffalon \u2aa1 Back Closure operators, classifiers and desirability At the core of Bayesian probability theory, or dually desirability theory, lies an assumption of linearity of the scale in which rewards are measured. We revisit two recent papers that extended desirability theory to the nonlinear case by letting the utility scale be represented [&hellip;]","og_url":"https:\/\/isipta23.sipta.org\/accepted-papers\/long-benavoli\/","og_site_name":"ISIPTA 2023","article_modified_time":"2023-07-12T07:16:32+00:00","og_image":[{"url":"https:\/\/isipta23.sipta.org\/wp-content\/uploads\/2022\/08\/LogoISIPTA23-long-white-1024x128.png"}],"twitter_card":"summary_large_image","twitter_misc":{"Estimated reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/isipta23.sipta.org\/accepted-papers\/long-benavoli\/","url":"https:\/\/isipta23.sipta.org\/accepted-papers\/long-benavoli\/","name":"Long Benavoli - ISIPTA 2023","isPartOf":{"@id":"https:\/\/isipta23.sipta.org\/#website"},"datePublished":"2023-05-15T18:19:51+00:00","dateModified":"2023-07-12T07:16:32+00:00","breadcrumb":{"@id":"https:\/\/isipta23.sipta.org\/accepted-papers\/long-benavoli\/#breadcrumb"},"inLanguage":"en-GB","potentialAction":[{"@type":"ReadAction","target":["https:\/\/isipta23.sipta.org\/accepted-papers\/long-benavoli\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/isipta23.sipta.org\/accepted-papers\/long-benavoli\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Portada","item":"https:\/\/isipta23.sipta.org\/"},{"@type":"ListItem","position":2,"name":"Accepted Papers","item":"https:\/\/isipta23.sipta.org\/accepted-papers\/"},{"@type":"ListItem","position":3,"name":"Long Benavoli"}]},{"@type":"WebSite","@id":"https:\/\/isipta23.sipta.org\/#website","url":"https:\/\/isipta23.sipta.org\/","name":"ISIPTA 2023","description":"The International Symposium on Imprecise Probabilities","publisher":{"@id":"https:\/\/isipta23.sipta.org\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/isipta23.sipta.org\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-GB"},{"@type":"Organization","@id":"https:\/\/isipta23.sipta.org\/#organization","name":"ISIPTA 2023","url":"https:\/\/isipta23.sipta.org\/","logo":{"@type":"ImageObject","inLanguage":"en-GB","@id":"https:\/\/isipta23.sipta.org\/#\/schema\/logo\/image\/","url":"https:\/\/isipta23.sipta.org\/wp-content\/uploads\/2022\/08\/cropped-LogoISIPTA23-white.png","contentUrl":"https:\/\/isipta23.sipta.org\/wp-content\/uploads\/2022\/08\/cropped-LogoISIPTA23-white.png","width":500,"height":500,"caption":"ISIPTA 2023"},"image":{"@id":"https:\/\/isipta23.sipta.org\/#\/schema\/logo\/image\/"}}]}},"_links":{"self":[{"href":"https:\/\/isipta23.sipta.org\/wp-json\/wp\/v2\/pages\/4162"}],"collection":[{"href":"https:\/\/isipta23.sipta.org\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/isipta23.sipta.org\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/isipta23.sipta.org\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/isipta23.sipta.org\/wp-json\/wp\/v2\/comments?post=4162"}],"version-history":[{"count":19,"href":"https:\/\/isipta23.sipta.org\/wp-json\/wp\/v2\/pages\/4162\/revisions"}],"predecessor-version":[{"id":6721,"href":"https:\/\/isipta23.sipta.org\/wp-json\/wp\/v2\/pages\/4162\/revisions\/6721"}],"up":[{"embeddable":true,"href":"https:\/\/isipta23.sipta.org\/wp-json\/wp\/v2\/pages\/3821"}],"wp:attachment":[{"href":"https:\/\/isipta23.sipta.org\/wp-json\/wp\/v2\/media?parent=4162"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}