Methodology of Economics: interpretation and explanation
The standard reading on the methodology and the role of explanation in economics is Daniel Hausman's work.

Hausman, Daniel M. The inexact and separate science of economics. Cambridge University Press, 1992.

Nancy Cartwright has some work on the interpretation of causation in the social sciences.

Cartwright, Nancy. Hunting causes and using them: approaches in philosophy and economics. Cambridge University Press, 2007.

Another entry to this literature may be the Stanford Encyclopedia of Philosophy:

http://plato.stanford.edu/entries/economics/

However, I am not sure what you mean with a literature on interpretation in economics.