In this paper, we show the advantages of using Formal Concept Analysis in representing FS-domains. Based on the notion of contractive operators on formal contexts, we propose a new notion of FS-contexts. We prove that FS-formal concepts of FS-contexts are concrete representations of FS-domains, just as formal concepts of classical formal contexts are concrete representations of complete lattices. Moreover, we prove that the category of FS-contexts with G-formal connections is equivalent to that of FS-domains with Scott-continuous functions.