Could anyone help me with this:

Aşkin kirintisilya doymaktansa aç kalirim bu dünyada.

instead of getting  full with crumbs of love, i would rather stay full in this world

 where does the ´rather´ come from?

doymaktansa

tansa is the suffix to say ´rather´, I think also ´instead of´

For example:

Yarım saat otobüsü beklemektense, taksiyle gidelim

- Rather than waiting half an hour for the bus, let´s go by taxi

(Im not so sure that the sentence I gave is correct, but I can say that tansa is the suffix to say rather )

Rather than being filled by the pieces of love, I prefer to be hungry in this world.

 Oh thanks DK - I remember seeing that now - but isn´t the whole suffix -mektense/maktansa? or are you saying it is tense/tansa attached to the infinitive? (which amounts to the same thing I suppose )

 Yes you are right, it is mektense/maktansa I guess!

When I was typing I dug in the memories of my mind about the notes I took at Turkish course in İzmir, we had a lesson abotu this and I remember not understanding much of it But oculdnt remember it exactly. But I suppose you are right!

 The sense in the Turkish is more "crumbs" or "leftovers" rather than "pieces".  It is like saying, I would rather be single that be the mistress who just gets you when your wife is away.

Apart from that, this is the best translation!

 For benefıt of the grammar , the "se" is short  for "ise"  the conditional verb "to be".    It adds up to "rather than" this way.

"verb" + tan"(away from)"se"  (if its other than) turns into "rather than".  This is how I think out it.

Thanks to you all.  You have been a great help.