Continuous Domains in Formal Concept Analysis*

Formal Concept Analysis (FCA) has been proven to be an effective method of restructuring complete lattices and various algebraic domains. In this paper, the notion contractive mappings over formal contexts is proposed, which can viewed as a generalization interior operators on sets into framework FCA. Then, by considering subset-selections consistent with mappings, notions attribute continuous concepts are introduced. It shown that set context forms domain, every domain restructured in way. Moreover, F-morphisms identified produce category equivalent domains Scott functions. The paper also investigates representations subclasses including stably semilattices.