edit-my-plugin-options.php

<?php
add_filter( 'map_meta_cap', function( $caps, $cap ) {
	if ( $cap == 'edit_my_plugin_options' ) {
		$c = is_multisite() ? 'manage_site_options' : 'manage_options';
		$caps = array( $c );
	}
	return $caps;
}, 10, 2 );

if ( current_user_can( 'edit_my_plugin_options' ) ) { ... }