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Formal Concept Analysis
Formal Concept Analysis takes as input a matrix specifying a set of objects and the properties thereof, called attributes, and finds both all the “natural” clusters of attributes and all the “natural” clusters of objects in the input data, where
a “natural” object cluster is the set of all objects that share a common subset of attributes, and
a “natural” property cluster is the set of all attributes shared by one of the natural object clusters
Natural property clusters correspond one-for-one with natural object clusters, and a concept is a pair containing both a natural property cluster and its corresponding natural object cluster
The family of these concepts obeys the mathematical axioms defining a lattice, and is called a concept lattice