In the music education community, we often say "audiate" when referring to hearing a melody in "the mind's ear".
The term was coined by music education guru Edwin Gordon, and I think it's pretty well-known amongst musicians (in addition to music teachers ).
http://en.wikipedia.org/wiki/Audiation
english.stackexchange.com/users/763/andyvn22
Just based on the comparable stem, I would expect the term to be to ' auralize '.
I suppose the same can be said for 'audibiilze', although 'audiolize' would only seem comparable if the visual word was 'videolize'.
english.stackexchange.com/users/737/Shawn D.
I agree with the poster who suggested audiation , as that is the process of imagining sound.
In response to your second edit, there is another very appropriate and widely accepted word for representing information with sound: sonification .
english.stackexchange.com/users/7204/Matt Montag
I don't think there's a good single word for this. "
Auralise"(/ze) is the most natural, and even that would give most people a double-take before they understood it.
I think it'd be best to rephrase slightly, such as
X is a presentation of Y in audio form
X is an auditory illustration of Y
english.stackexchange.com/users/772/AlexC
It appears that both "audibilized" and "audiolized" are being used, if only sparingly.
Personally, I have never encountered either before (but I think everyone would understand them, thanks to the obvious parallel to the widely used visualized ).
english.stackexchange.com/users/300/RegDwigнt
The question doesn't really make sense, What I was trying to achieve was to
say that something is an audibilized presentation of some other thing, exactly the same way we use visualized presentation.
Hmm?
Usually one would say "a visualization".
I'm not sure what "visualized presentation" is meant to be.
A visualization of data etc.
There are some suggestions as answers here, frankly I think they are dubious.
If you want to say this in English, "represent in sound" as a verb and "representation in sound" or "sound representation" would be OK.
english.stackexchange.com/users/None/
I would suggest audible, sonic , or simply audio.
I realize these lack the 'made into' suffix, but I think your listeners will stumble less over these than auralize or audibilized.
To me audibilized suggests that some imperceptible sound was amplified to the point of audibility, rather than translated from another sensory modality.
english.stackexchange.com/users/67/moioci
If you're looking for a word that many or all of your audience will understand, why not try "imagine"?
english.stackexchange.com/users/758/Billy Jo
Are there such words as "audiolized" or "audibilized"?  EDIT:  Merriam-Webster has the word  Audibilized  indexed with no definition!  What I was trying to achieve was to say that  something is an audibilized presentation of some other thing , exactly the same way we use  visualized presentation .  EDIT:   This  is a visualization of a sort algorithm. Therefore  this  is ...? Audilization? Auralization? Sound representation?  EDIT:   This one  as well.
"Visualized" equivalent adjective for audio
english.stackexchange.com
<word-choice><nouns><analogy><participles><sense-verbs>
english.stackexchange.com/questions/1635
english.stackexchange.com/users/146/Mysterion
There does not appear to be an agreed adjective for audio that functions in the same way as "visualized". "Audibilized" and "audiolized" appear to be used, albeit sparingly. Other terms that may serve the same function include "audiate", "audiation" or "sonification". "Representation in sound" would probably be acceptable too. There is no widely established term for this, but a possibility is "audiate" - a term used by musicians, or "sonify" or even "represent in sound".
There does not appear to be an agreed adjective for audio that functions in the same way as "visualized". "Audibilized" and "audiolized" appear to be used, albeit sparingly. Other terms that may serve the same function include "audiate", "audiation" or "sonification". "Representation in sound" would probably be acceptable too. There are several suggestions such as audiate, auralize, audibilized and audiolized. Another suggestion is to use audible, sonic , or simply audio. But perhaps a more suitable word to use would be just imagine.
Although ther emay not be a good single word for this, it appears that both  "audibilized"  and  "audiolized"  are being used. Auralise"(/ze) is based on a comparable stem and is the most natural. It is not clear whether there is a good single word for this concept, although "audibilize" or "audiolize" will be understood by most audiences. One possible suggestion could be the word "auralise".
Perhaps use "audiate" - a term used by musicians. One possibility is "audiation" and another is "sonification". Both  "audibilized"  and  "audiolized"  are used, if sparingly. If you want to say this in English, "represent in sound" as a verb and "representation in sound" or "sound representation" would be OK. I would suggest audible, sonic , or simply audio.
There are several suggestions such as audiate, auralize, audibilized and audiolized.  Another suggestion is to use audible, sonic , or simply audio. But perhaps a more suitable word to use would be just imagine.
It is not clear whether there is a single good word to represent this definition. It appears that audibilized or audiolized are used rarely but would be understood by more people. One possible suggestion would be the word "auralise".