I am now in the process of moving most of my digital images to Imagekind:

http://clydegrauke.imagekind.com

Where they can be viewed and print on demand is available.

Clyde

I am most affected by the visual sense.  Trailing fairly far behind that would be auditory.  Then way behind those two would be the other senses. 

See a few of my visual creations in my photos in my profile and checkout my digital art at http://smudgefactor.deviantart.com

Clyde

Interesting question.  The wording poses the situation as being one of either/or, but in my view, these concepts of compassion and fairness are on separate continuous, dimensions and they can be simultaneous as well as along varying degrees of the different dimensions involved.  In addition the "more important" portion is also artificially creating a choice of one over the other.

I see fairness on the "dimension" or in the area of external, physical responses.  With fairness, action is taken (or not taken) as a response to another action or a situation.  It is seen as an issue of relativity---alternatives are weighed against each other and causes and consequences are usually taken into account.  In my mind, compassion, on the other hand, is an emotional, internal response to a particular, empathically based perception of what it must be like for the person, thing, or those involved in the situation being considered. 

Both fairness and compassion are perceptions IMO, since nothing comes through to us as events at all without passing through the filter of our perceptions and the meaning-making we apply to these things.  Fairness and compassion are also concepts rather than being "things" in their own right.   In additon they are concepts that are value-loaded or are generally thought of in terms of ideals, which brings in even more subjectivity.  They exist only in the eye of the beholder.

So to get slowly to my answer, I think that ideally both fairness and compassion are desireable goals which are best when both are simultaneously operative, and, as such, they are both more important than either alone or neither.