Are the turkish special characters displaying correctly in other components on your website?
Could you post your website link please?
In order to display multibyte characters you will need to have the Joomla templates encoding set correctly, whether UTF-8 for multiple languages or an appropriate encoding for Turkish characters.
You will also need to specify that the database save characters in the correct encoding. If you have PHPMyAdmin on the server you can take a look at the encoding set in the database for each table.
The Tag Component will use the default encoding set for your database, so if this is set incorrectly it will not be able to display multibyte character encodings.
Same thing with Arabic.
I think the component uses UTF-8
While Arabic, Turkish, and Greek use other encoding.
In the case of Arabic, Windows-1256 is used.