We describe a general technique for identifying modules in programs that do not designate them explicitly. The method is based on concept analysis | a branch of lattice theory that can be used to identify similarities among a set of objects based on their attributes. We discuss how concept analysis can identify potential modules using both \positive" and \negative" information. We present an al...

We present the design of a le system whose organization is based on Concept Analysis à la WilleGanter . The aim is to combine querying and navigation facilities in one formalism. The le system is supposed to o er a standard interface but the interpretation of common notions like directories is new. The contents of a le system is interpreted as a Formal Context, directories as Formal Concepts, a...

Three-way concept lattice proposed recently is an extension of classical concept lattice in formal concept analysis. This paper presents a positive answer to the open problem proposed by Liu et al., (2016). The open problem is: how to extract rule in the decision formal context based on object-induced three-way concept lattice.

Traditional software in Formal Concept Analysis makes little use of visualization techniques, producing poorly readable concept lattice representations when the number of concepts exceeds a few dozens. This is problematic as the number of concepts in such lattices grows significantly with the size of the data and the number of its dimensions. In this work we propose several methods to enhance t...

This study is an investigation of fuzzy linear regression model for crisp/fuzzy input and fuzzy output data. A least absolutes deviations approach to construct such a model is developed by introducing and applying a new metric on the space of fuzzy numbers. The proposed approach, which can deal with both symmetric and non-symmetric fuzzy observations, is compared with several existing models by...

Concept Lattices Henry Soldano and Véronique Ventos 1 L.I.P.N, UMR-CNRS 7030, Université Paris-Nord, 93430 Villetaneuse, France 2 LRI, UMR-CNRS 8623, Université Paris-Sud, 91405 Orsay, France [email protected], [email protected] Abstract. We present a view of abstraction based on a structure preserving reduction of the Galois connection between a language L of terms and the powerse...

We show the relationship between two different types of common platforms of till known fuzzifications of a concept lattice, namely that the notion of a concept lattice with hedges is a special case of our generalized concept lattice.

Formal Concept Analysis (FCA) is useful in many applications, not least in data analysis. In this paper, we apply the FCA approach to the problem of classifying sets of sets of durations of time, for the purposes of storing them in a database. The database system in question is, in fact, an object-oriented text database system, in which all objects are seen as arbitrary sets of integers. These ...

Continuing our categorical study of L-fuzzy extensions of formal concept analysis, we provide a representation theorem for the category of L-Chu correspondences between L-formal contexts and prove that it is equivalent to the category of completely lattice L-ordered sets.