Concepts Valuation by Conjugate Moebius Inverse

There is several known algorithm to construct concept lattices. The question is, how could we simplify this lattice into concepts, that are important and have selected features. According to “A Theory of Diversity”, we can compute the diversity of a set of objects recursively from the pairwise dissimilarities between its elements. Using Conjugate Möebius Inverse, we can compute weights of each concept from these diversities. Determining attribute weights is a complex task, however, since there are as many potential attributes as there are non-empty subset of object. The document shows the implementation of Möebius function on concept lattices and then determinig concepts weights by pairwise between objects. We suppose, this is the way to simplify concept lattices.