Julien on "taxonomies custom post types for member not display"

Hello,

Im trying to create some custom post types inside a plugin and a member role with capabilities but maybe something wrong.

So, I wrote this :

if ( ! function_exists('voyages_type') ) {

function voyages_type() {

	$labels = array(
		'name'                => _x( 'Voyages', 'Post Type General Name' ),
		'singular_name'       => _x( 'Voyage', 'Post Type Singular Name' ),
		'menu_name'           => __( 'Voyages' ),
		'parent_item_colon'   => __( 'Parent Item:' ),
		'all_items'           => __( 'All Items' ),
		'view_item'           => __( 'View Item' ),
		'add_new_item'        => __( 'Add New Item' ),
		'add_new'             => __( 'Add New' ),
		'edit_item'           => __( 'Edit Item' ),
		'update_item'         => __( 'Update Item' ),
		'search_items'        => __( 'Search Item' ),
		'not_found'           => __( 'Not found' ),
		'not_found_in_trash'  => __( 'Not found in Trash' ),
	);
	$rewrite = array(
		'slug'                => 'voyages',
		'with_front'          => true,
		'pages'               => true,
		'feeds'               => true,
	);
	$capabilities = array(
		'edit_post'           => 'edit_voyage',
		'read_post'           => 'read_voyage',
		'delete_post'         => 'delete_voyage',
		'edit_posts'          => 'edit_voyages',
		'edit_others_posts'   => 'edit_others_voyages',
		'publish_posts'       => 'publish_voyages',
		'read_private_posts'  => 'read_private_voyages',
	);
	$args = array(
		'label'               => __( 'voyage_post_type' ),
		'description'         => __( 'Voyage Description' ),
		'labels'              => $labels,
		'supports'            => array( 'title', 'editor', 'excerpt', 'author', 'thumbnail', 'comments', 'trackbacks', 'revisions', 'custom-fields', 'page-attributes', 'post-formats', ),
		'taxonomies'          => array( 'category', 'post_tag' ),
		'hierarchical'        => true,
		'public'              => true,
		'show_ui'             => true,
		'show_in_menu'        => true,
		'show_in_nav_menus'   => true,
		'show_in_admin_bar'   => true,
		'menu_position'       => 5,
		'menu_icon'           => 'dashicons-admin-site',
		'can_export'          => true,
		'has_archive'         => true,
		'exclude_from_search' => false,
		'publicly_queryable'  => true,
		'query_var'			  => true,
		'rewrite'             => $rewrite,
		'capabilities'        => $capabilities,
		'capability_type'     => array("voyage", "voyages"),
		'map_meta_cap'        => true,
	);
	register_post_type( 'voyage_post_type', $args );
}
add_action( 'init', 'voyages_type', 0 );

}

function add_voyages_caps_to_admin() {
	$caps = array(
		'read',
		'read_voyages',
		'read_private_voyages',
		'edit_voyages',
		'edit_private_voyages',
		'edit_published_voyages',
		'edit_others_voyages',
		'publish_voyages',
		'delete_voyages',
		'delete_private_voyages',
		'delete_published_voyages',
		'delete_others_voyages',
	);
	$roles = array(
		get_role( 'administrator' ),
		get_role( 'editor' ),
		get_role( 'contributor' ),
		get_role( 'author' ),
		get_role( 'client' ),
	);
	foreach ($roles as $role) {
		foreach ($caps as $cap) {
			$role->add_cap( $cap );
		}
	}
}
add_action( 'after_setup_theme', 'add_voyages_caps_to_admin' );

The problem is :
I can see like post, everything (category and tag) when im logging as ADMIN but when im logging as "client" role, I can'T see category and tag. I don't know why.

SOmeone can help me please ?

Thank you