Used the SET type of mysql with flagged enumeration

doctrine_type.php

<?php

class FooSetType extends \Doctrine\DBAL\Types\Type
{
    public function getSQLDeclaration(array $fieldDeclaration, AbstractPlatform $platform)
    {
        return "SET('one','two','three') NOT NULL";
    }

    public function getName()
    {
        return 'foo_set';
    }

    public function convertToDatabaseValue($value, AbstractPlatform $platform)
    {
        if ($value !== null) {
            return FooSetEnum::create((int)$value);
        }

        return null;
    }

    public function convertToPHPValue($value, AbstractPlatform $platform)
    {
        if (!$value instanceof FooSetEnum) {
            throw new \InvalidArgumentException('Invalid value.');
        }

        return $value->getValue();
    }

    public function convertToPHPValueSQL($sqlExpr, $platform)
    {
        return $sqlExpr . '+0';
    }
}

enum_type.php

<?php

class FooSetEnum extends \Biplane\EnumBundle\Enumeration\FlaggedEnum
{
    const ONE   = 1;
    const TWO   = 2;
    const THREE = 4;

    static public function getPossibleValues()
    {
        return array(self::ONE, self::TWO, self::THREE);
    }

    static public function getReadables()
    {
        return array(
            self::ONE => 'one',
            self::TWO => 'two',
            self::THREE => 'three',
        );
    }

    static protected function getBitmask()
    {
        return 7;
    }
}