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Suppose we are given a set of binary attributes. Each attribute is described by a finite set of objects to which the attribute applies. We consider the following problem. Is it possible to find a small set of conditions, or factors, associated to the attributes in such a way that an attribute applies to an object if and only if the object satisfies all conditions associated to the attribute? In this sense, we look for minimal sets of descriptive conditions for a set of binary attributes. Wedoi:10.1080/03081079.2014.885166 fatcat:sajadgwp7bcejitg4qt4gkom4u