I’m updating the article now, because I’m also using Webpack aliases now, so I am seeing this error, and the fix is different now in April 2020.

Install:

npm install --save-dev eslint-import-resolver-alias

Laravel-mix (aka Webpack config)

mix.webpackConfig({
    resolve: {
        extensions: ['.js', '.vue'],
        alias: {
            '@': `${__dirname}/resources`,
        },
    },
});

.eslintrc.json

"settings": {
    "import/resolver": {
        "alias": {
            "map": [
                ["@", "./resources"]
            ],
            "extensions": [".js", ".vue"]
        }
    }
}

source: https://github.com/benmosher/eslint-plugin-import/issues/496

This has fixed it in mine, today.