Hi Jony from Indonesia, welcome.
For the both of us, English isn't our native language.
Because of that, i'm having some difficulty reading or understanding your question.
I understand that you want to use an Android device and an Arduino with a LED display for your thesis.
And you want to use Bluetooth communication between these units.
I don't get what it is you like to send over Bluetooth, can you explain a bit more about that ?
Maybe by some example.
Also: Do you already have any components you want to use or do you have a wish list ?
If you haven't started yet, you should start with making a list of things you need (and / or want) to do for your doctorate paper.
For instance: How many characters does the display need to display at any given time, and are those alphanumerical or just numerical characters ?