﻿{"id":15045,"date":"2025-08-13T10:52:10","date_gmt":"2025-08-13T08:52:10","guid":{"rendered":"https:\/\/www.sigterritoires.fr\/?page_id=15045"},"modified":"2025-08-13T10:52:10","modified_gmt":"2025-08-13T08:52:10","slug":"fuzzy-attributes","status":"publish","type":"page","link":"https:\/\/www.sigterritoires.fr\/index.php\/en\/fuzzy-attributes\/","title":{"rendered":"Fuzzy attributes"},"content":{"rendered":"\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_82_2 counter-hierarchy ez-toc-counter ez-toc-light-blue ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Contenu <\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.sigterritoires.fr\/index.php\/en\/fuzzy-attributes\/#Instructions_for_use\" >Instructions for use<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.sigterritoires.fr\/index.php\/en\/fuzzy-attributes\/#Settings_window\" >Settings window<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.sigterritoires.fr\/index.php\/en\/fuzzy-attributes\/#%E2%80%9CLayers%E2%80%9D_field\" >\u201cLayers\u201d field<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.sigterritoires.fr\/index.php\/en\/fuzzy-attributes\/#%E2%80%9CAttributes%E2%80%9D_field\" >\u201cAttributes\u201d field<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.sigterritoires.fr\/index.php\/en\/fuzzy-attributes\/#%E2%80%9CStatistics%E2%80%9D_button\" >\u201cStatistics\u201d button<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.sigterritoires.fr\/index.php\/en\/fuzzy-attributes\/#Transformation_function\" >Transformation function<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.sigterritoires.fr\/index.php\/en\/fuzzy-attributes\/#Function_parameters\" >Function parameters<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.sigterritoires.fr\/index.php\/en\/fuzzy-attributes\/#Transformation_history\" >Transformation history<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.sigterritoires.fr\/index.php\/en\/fuzzy-attributes\/#Result\" >Result<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.sigterritoires.fr\/index.php\/en\/fuzzy-attributes\/#Membership_functions_transforming_data_into_fuzzy_judgments\" >Membership functions: transforming data into fuzzy judgments<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.sigterritoires.fr\/index.php\/en\/fuzzy-attributes\/#1_Linear_increasing\" >1. Linear increasing<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/www.sigterritoires.fr\/index.php\/en\/fuzzy-attributes\/#2_Linear_decreasing\" >2. Linear decreasing<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/www.sigterritoires.fr\/index.php\/en\/fuzzy-attributes\/#3_Trapezoidal\" >3. Trapezoidal<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/www.sigterritoires.fr\/index.php\/en\/fuzzy-attributes\/#4_Triangular\" >4. Triangular<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/www.sigterritoires.fr\/index.php\/en\/fuzzy-attributes\/#5_Increasing_sigmoid_S\" >5. Increasing sigmoid (S)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/www.sigterritoires.fr\/index.php\/en\/fuzzy-attributes\/#6_Descending_sigmoid_Z\" >6. Descending sigmoid (Z)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/www.sigterritoires.fr\/index.php\/en\/fuzzy-attributes\/#7_Gaussian\" >7. Gaussian<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Instructions_for_use\"><\/span>Instructions for use<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Settings_window\"><\/span>Settings window<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_window.jpg?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"640\" height=\"632\" data-attachment-id=\"15026\" data-permalink=\"https:\/\/www.sigterritoires.fr\/index.php\/attributs-flous\/fzyattr_window\/\" data-orig-file=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_window.jpg?fit=808%2C798&amp;ssl=1\" data-orig-size=\"808,798\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"fzyattr_window\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_window.jpg?fit=640%2C632&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_window.jpg?resize=640%2C632&#038;ssl=1\" alt=\"\" class=\"wp-image-15026\" srcset=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_window.jpg?w=808&amp;ssl=1 808w, https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_window.jpg?resize=300%2C296&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_window.jpg?resize=768%2C758&amp;ssl=1 768w, https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_window.jpg?resize=120%2C120&amp;ssl=1 120w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/a><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E2%80%9CLayers%E2%80%9D_field\"><\/span>\u201cLayers\u201d field<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>The \u201cLayers\u201d field displays the list of loaded layers, limited to <a href=\"https:\/\/www.sigterritoires.fr\/index.php\/en\/geopackage-format-and-qgis-3\/\">geopackage<\/a> tables. <\/p>\n\n\n\n<p>\u26a0\ufe0f<strong>The current version only takes into account data stored in geopackage files (gpkg).<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_layers.jpg?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"640\" height=\"632\" data-attachment-id=\"15027\" data-permalink=\"https:\/\/www.sigterritoires.fr\/index.php\/attributs-flous\/fzyattr_layers\/\" data-orig-file=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_layers.jpg?fit=808%2C798&amp;ssl=1\" data-orig-size=\"808,798\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;1&quot;}\" data-image-title=\"fzyattr_layers\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_layers.jpg?fit=640%2C632&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_layers.jpg?resize=640%2C632&#038;ssl=1\" alt=\"\" class=\"wp-image-15027\" srcset=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_layers.jpg?w=808&amp;ssl=1 808w, https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_layers.jpg?resize=300%2C296&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_layers.jpg?resize=768%2C758&amp;ssl=1 768w, https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_layers.jpg?resize=120%2C120&amp;ssl=1 120w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/a><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E2%80%9CAttributes%E2%80%9D_field\"><\/span>\u201cAttributes\u201d field<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>Once the layer has been selected, this drop-down menu displays all of its numeric fields.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_fields.jpg?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"640\" height=\"632\" data-attachment-id=\"15028\" data-permalink=\"https:\/\/www.sigterritoires.fr\/index.php\/attributs-flous\/fzyattr_fields\/\" data-orig-file=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_fields.jpg?fit=808%2C798&amp;ssl=1\" data-orig-size=\"808,798\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;1&quot;}\" data-image-title=\"fzyattr_fields\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_fields.jpg?fit=640%2C632&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_fields.jpg?resize=640%2C632&#038;ssl=1\" alt=\"\" class=\"wp-image-15028\" srcset=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_fields.jpg?w=808&amp;ssl=1 808w, https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_fields.jpg?resize=300%2C296&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_fields.jpg?resize=768%2C758&amp;ssl=1 768w, https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_fields.jpg?resize=120%2C120&amp;ssl=1 120w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/a><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E2%80%9CStatistics%E2%80%9D_button\"><\/span>\u201cStatistics\u201d button<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>Click this button to view basic statistics for the selected field. This will be useful for defining the transformation function parameters.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_stats.jpg?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"640\" height=\"632\" data-attachment-id=\"15029\" data-permalink=\"https:\/\/www.sigterritoires.fr\/index.php\/attributs-flous\/fzyattr_stats\/\" data-orig-file=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_stats.jpg?fit=808%2C798&amp;ssl=1\" data-orig-size=\"808,798\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;1&quot;}\" data-image-title=\"fzyattr_stats\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_stats.jpg?fit=640%2C632&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_stats.jpg?resize=640%2C632&#038;ssl=1\" alt=\"\" class=\"wp-image-15029\" srcset=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_stats.jpg?w=808&amp;ssl=1 808w, https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_stats.jpg?resize=300%2C296&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_stats.jpg?resize=768%2C758&amp;ssl=1 768w, https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_stats.jpg?resize=120%2C120&amp;ssl=1 120w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/a><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Transformation_function\"><\/span>Transformation function<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>This drop-down menu allows you to choose the type of transformation function. See below for details of these functions.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_function.jpg?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"640\" height=\"632\" data-attachment-id=\"15030\" data-permalink=\"https:\/\/www.sigterritoires.fr\/index.php\/attributs-flous\/fzyattr_function\/\" data-orig-file=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_function.jpg?fit=808%2C798&amp;ssl=1\" data-orig-size=\"808,798\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;1&quot;}\" data-image-title=\"fzyattr_function\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_function.jpg?fit=640%2C632&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_function.jpg?resize=640%2C632&#038;ssl=1\" alt=\"\" class=\"wp-image-15030\" srcset=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_function.jpg?w=808&amp;ssl=1 808w, https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_function.jpg?resize=300%2C296&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_function.jpg?resize=768%2C758&amp;ssl=1 768w, https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_function.jpg?resize=120%2C120&amp;ssl=1 120w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/a><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Function_parameters\"><\/span>Function parameters<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>Enter your parameter values, separated by commas. The next line (e.g., \u2026\u2026) gives you the format corresponding to the selected function.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_params.jpg?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"640\" height=\"629\" data-attachment-id=\"15031\" data-permalink=\"https:\/\/www.sigterritoires.fr\/index.php\/attributs-flous\/fzyattr_params\/\" data-orig-file=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_params.jpg?fit=794%2C780&amp;ssl=1\" data-orig-size=\"794,780\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;1&quot;}\" data-image-title=\"fzyattr_params\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_params.jpg?fit=640%2C629&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_params.jpg?resize=640%2C629&#038;ssl=1\" alt=\"\" class=\"wp-image-15031\" srcset=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_params.jpg?w=794&amp;ssl=1 794w, https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_params.jpg?resize=300%2C295&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_params.jpg?resize=768%2C754&amp;ssl=1 768w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/a><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Transformation_history\"><\/span>Transformation history<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>Each time a transformation or aggregation is performed by the plugin, a line is added to a history management table, metafuzzy, which is created and maintained within the data geopackage.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_history.jpg?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"640\" height=\"243\" data-attachment-id=\"15032\" data-permalink=\"https:\/\/www.sigterritoires.fr\/index.php\/attributs-flous\/fzyattr_history\/\" data-orig-file=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_history.jpg?fit=2161%2C818&amp;ssl=1\" data-orig-size=\"2161,818\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;1&quot;}\" data-image-title=\"fzyattr_history\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_history.jpg?fit=640%2C243&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_history.jpg?resize=640%2C243&#038;ssl=1\" alt=\"\" class=\"wp-image-15032\" srcset=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_history.jpg?resize=1024%2C388&amp;ssl=1 1024w, https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_history.jpg?resize=300%2C114&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_history.jpg?resize=768%2C291&amp;ssl=1 768w, https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_history.jpg?resize=1536%2C581&amp;ssl=1 1536w, https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_history.jpg?resize=2048%2C775&amp;ssl=1 2048w, https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_history.jpg?w=1280&amp;ssl=1 1280w, https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/fzyattr_history.jpg?w=1920&amp;ssl=1 1920w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/a><\/figure>\n\n\n\n<p>In the case of fuzzy transformations, the fields filled in are:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>field<\/strong>: the original field in the layer used for the transformation<\/li>\n\n\n\n<li><strong>function<\/strong>: the selected function<\/li>\n\n\n\n<li><strong>params<\/strong>: the numerical values of the transformation parameters<\/li>\n\n\n\n<li><strong>source1<\/strong>: the name of the source layer of the attribute<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Result\"><\/span>Result<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>The result of the command is a new attribute in the input table with the suffix <strong>_fuzzy<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Membership_functions_transforming_data_into_fuzzy_judgments\"><\/span><strong>Membership functions: transforming data into fuzzy judgments<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Here are the main functions available in the FuzzyAttributes plugin, with concrete examples:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"1_Linear_increasing\"><\/span>1. <strong>Linear increasing<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"alignleft size-full\"><a href=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/linearcroiss.png?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"280\" height=\"187\" data-attachment-id=\"14986\" data-permalink=\"https:\/\/www.sigterritoires.fr\/index.php\/logique-floue-et-sig-1-2-une-alternative-au-tout-ou-rien-pour-lanalyse-geographique\/linearcroiss\/\" data-orig-file=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/linearcroiss.png?fit=280%2C187&amp;ssl=1\" data-orig-size=\"280,187\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"linearcroiss\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/linearcroiss.png?fit=280%2C187&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/linearcroiss.png?resize=280%2C187&#038;ssl=1\" alt=\"\" class=\"wp-image-14986\"\/><\/a><\/figure>\n<\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>Used when \u201cthe bigger, the better.\u201d<\/li>\n\n\n\n<li>Example: altitude for a mountain species, where suitability increases gradually from 800 m to 1800 m.<\/li>\n\n\n\n<li>Parameters: a (minimum value) and b (maximum value).<\/li>\n\n\n\n<li>Formula:\n<ul class=\"wp-block-list\">\n<li>0 if x \u2264 a<\/li>\n\n\n\n<li>(x \u2212 a) \/ (b \u2212 a) if a &lt; x &lt; b<\/li>\n\n\n\n<li>1 if x \u2265 b<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"alignright size-full\"><a href=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/lineardecroiss.png?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"280\" height=\"187\" data-attachment-id=\"14987\" data-permalink=\"https:\/\/www.sigterritoires.fr\/index.php\/logique-floue-et-sig-1-2-une-alternative-au-tout-ou-rien-pour-lanalyse-geographique\/lineardecroiss\/\" data-orig-file=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/lineardecroiss.png?fit=280%2C187&amp;ssl=1\" data-orig-size=\"280,187\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"lineardecroiss\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/lineardecroiss.png?fit=280%2C187&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/lineardecroiss.png?resize=280%2C187&#038;ssl=1\" alt=\"\" class=\"wp-image-14987\"\/><\/a><\/figure>\n<\/div>\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"2_Linear_decreasing\"><\/span>2. Linear decreasing<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Opposite case: \u201cthe smaller, the better.\u201d<\/li>\n\n\n\n<li>Example: pollution levels, where a high value is bad.<\/li>\n\n\n\n<li>Parameters: a, b as above, but reversed.<\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"alignleft size-full\"><a href=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/trapezoidale.png?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"280\" height=\"187\" data-attachment-id=\"14988\" data-permalink=\"https:\/\/www.sigterritoires.fr\/index.php\/logique-floue-et-sig-1-2-une-alternative-au-tout-ou-rien-pour-lanalyse-geographique\/trapezoidale\/\" data-orig-file=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/trapezoidale.png?fit=280%2C187&amp;ssl=1\" data-orig-size=\"280,187\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"trapezoidale\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/trapezoidale.png?fit=280%2C187&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/trapezoidale.png?resize=280%2C187&#038;ssl=1\" alt=\"\" class=\"wp-image-14988\"\/><\/a><\/figure>\n<\/div>\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"3_Trapezoidal\"><\/span>3. Trapezoidal<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Represents an area of \u201cfull membership\u201d surrounded by transitions.<\/li>\n\n\n\n<li>Example: an ideal temperature between 64\u00b0F and 72\u00b0F, acceptable between 59\u00b0F and 75\u00b0F.<\/li>\n\n\n\n<li>Parameters: a (start of transition), b (start of ideal zone), c (end of ideal zone), d (end of transition).<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"alignright size-full\"><a href=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/triangulaire.png?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"280\" height=\"187\" data-attachment-id=\"14989\" data-permalink=\"https:\/\/www.sigterritoires.fr\/index.php\/logique-floue-et-sig-1-2-une-alternative-au-tout-ou-rien-pour-lanalyse-geographique\/triangulaire\/\" data-orig-file=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/triangulaire.png?fit=280%2C187&amp;ssl=1\" data-orig-size=\"280,187\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"triangulaire\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/triangulaire.png?fit=280%2C187&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/triangulaire.png?resize=280%2C187&#038;ssl=1\" alt=\"\" class=\"wp-image-14989\"\/><\/a><\/figure>\n<\/div>\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"4_Triangular\"><\/span>4. Triangular<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Simplified variant of the trapezoidal.<\/li>\n\n\n\n<li>Example: note \u201cideal\u201d humidity at a specific point (e.g., 65%), but tolerate some variation around it.<\/li>\n\n\n\n<li>Parameters: a (start of rise), b (peak), c (end of descent)..<\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"alignleft size-full\"><a href=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/sigmocroiss.png?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"280\" height=\"187\" data-attachment-id=\"14990\" data-permalink=\"https:\/\/www.sigterritoires.fr\/index.php\/logique-floue-et-sig-1-2-une-alternative-au-tout-ou-rien-pour-lanalyse-geographique\/sigmocroiss\/\" data-orig-file=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/sigmocroiss.png?fit=280%2C187&amp;ssl=1\" data-orig-size=\"280,187\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"sigmocroiss\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/sigmocroiss.png?fit=280%2C187&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/sigmocroiss.png?resize=280%2C187&#038;ssl=1\" alt=\"\" class=\"wp-image-14990\"\/><\/a><\/figure>\n<\/div>\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"5_Increasing_sigmoid_S\"><\/span>5. Increasing sigmoid (S)<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Represents slow growth, then rapid growth, then stabilization.<\/li>\n\n\n\n<li>Example: acceptability of river flow for irrigation.<\/li>\n\n\n\n<li>Parameters: c (central value), \u03b1 (slope).<\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"alignright size-full\"><a href=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/sigmodecroiss.png?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"280\" height=\"187\" data-attachment-id=\"14991\" data-permalink=\"https:\/\/www.sigterritoires.fr\/index.php\/logique-floue-et-sig-1-2-une-alternative-au-tout-ou-rien-pour-lanalyse-geographique\/sigmodecroiss\/\" data-orig-file=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/sigmodecroiss.png?fit=280%2C187&amp;ssl=1\" data-orig-size=\"280,187\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"sigmodecroiss\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/sigmodecroiss.png?fit=280%2C187&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/sigmodecroiss.png?resize=280%2C187&#038;ssl=1\" alt=\"\" class=\"wp-image-14991\"\/><\/a><\/figure>\n<\/div>\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"6_Descending_sigmoid_Z\"><\/span>6. Descending sigmoid (Z)<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u201cInverted Z\u201d curve: slow \u2192 rapid \u2192 plateau decline.<\/li>\n\n\n\n<li>Example: soil salinity tolerance for a crop..<\/li>\n<\/ul>\n\n\n\n<p>.<\/p>\n\n\n\n<p>.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"alignleft size-full\"><a href=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/gaussienne.png?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"282\" height=\"202\" data-attachment-id=\"14992\" data-permalink=\"https:\/\/www.sigterritoires.fr\/index.php\/logique-floue-et-sig-1-2-une-alternative-au-tout-ou-rien-pour-lanalyse-geographique\/gaussienne\/\" data-orig-file=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/gaussienne.png?fit=282%2C202&amp;ssl=1\" data-orig-size=\"282,202\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"gaussienne\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/gaussienne.png?fit=282%2C202&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/www.sigterritoires.fr\/wp-content\/uploads\/2025\/08\/gaussienne.png?resize=282%2C202&#038;ssl=1\" alt=\"\" class=\"wp-image-14992\"\/><\/a><\/figure>\n<\/div>\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"7_Gaussian\"><\/span>7. Gaussian<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Bell curve function.<\/li>\n\n\n\n<li>Example: optimal sensitivity of a plant to a specific pH.<\/li>\n\n\n\n<li>Parameters: c (center), \u03c3 (standard deviation controlling width).<\/li>\n<\/ul>\n\n\n\n<p>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Instructions for use Settings window \u201cLayers\u201d field The \u201cLayers\u201d field displays the list of loaded layers, limited to geopackage tables. \u26a0\ufe0fThe current version only takes into account data stored in geopackage files (gpkg). \u201cAttributes\u201d field Once&hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"give_campaign_id":0,"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0,"sfsi_plus_gutenberg_text_before_share":"","sfsi_plus_gutenberg_show_text_before_share":"","sfsi_plus_gutenberg_icon_type":"","sfsi_plus_gutenberg_icon_alignemt":"","sfsi_plus_gutenburg_max_per_row":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"jetpack_post_was_ever_published":false,"footnotes":""},"class_list":["post-15045","page","type-page","status-publish","hentry"],"aioseo_notices":[],"campaignId":"","jetpack_shortlink":"https:\/\/wp.me\/P6XU0A-3UF","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.sigterritoires.fr\/index.php\/wp-json\/wp\/v2\/pages\/15045","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.sigterritoires.fr\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.sigterritoires.fr\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.sigterritoires.fr\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.sigterritoires.fr\/index.php\/wp-json\/wp\/v2\/comments?post=15045"}],"version-history":[{"count":0,"href":"https:\/\/www.sigterritoires.fr\/index.php\/wp-json\/wp\/v2\/pages\/15045\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.sigterritoires.fr\/index.php\/wp-json\/wp\/v2\/media?parent=15045"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}