Integration of Fuzzy Model Theory and FCA for Big Data Mining

In this paper, we explore two different approaches to Big Data Mining: the Fuzzy Model Theory and the Formal Concept Analysis. We carry out the integration of these two approaches for solving the problem of constructing semantic models of domains. In the present paper, we focus on the third and fourth levels of sematic models, which formalizes via case models and fuzzy models of domains. We represent the basic notions of the FCA on the fuzzy model language and describe which formula extensions formal contexts allow us to find a new knowledge about the given domain.