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Formal Concept Analysis (FCA) is a mathematical framework for knowledge representation and discovery. It performs a hierarchical clustering over a set of objects described by attributes, resulting in conceptual structures in which objects…

Artificial Intelligence · Computer Science 2025-08-12 Jessie Galasso

This paper is a tutorial on Formal Concept Analysis (FCA) and its applications. FCA is an applied branch of Lattice Theory, a mathematical discipline which enables formalisation of concepts as basic units of human thinking and analysing…

Information Retrieval · Computer Science 2017-03-09 Dmitry I. Ignatov

In order to address complex systems, apply pattern recongnition on their evolution could play an key role to understand their dynamics. Global patterns are required to detect emergent concepts and trends, some of them with qualitative…

Artificial Intelligence · Computer Science 2011-08-05 Gonzalo A. Aranda-Corral , Joaquín Borrego-Díaz , Juan Galán-Páez

Formal concept analysis (FCA) is a well-founded method for data analysis and has many applications in data mining. Pattern structures is an extension of FCA for dealing with complex data such as sequences or graphs. However the…

Discrete Mathematics · Computer Science 2015-06-17 Aleksey Buzmakov , Sergei O. Kuznetsov , Amedeo Napoli

Formal Concept Analysis (FCA) begins from a context, given as a binary relation between some objects and some attributes, and derives a lattice of concepts, where each concept is given as a set of objects and a set of attributes, such that…

Machine Learning · Computer Science 2023-11-03 Dusko Pavlovic

We present a novel approach to the automatic acquisition of taxonomies or concept hierarchies from a text corpus. The approach is based on Formal Concept Analysis (FCA), a method mainly used for the analysis of data, i.e. for investigating…

Artificial Intelligence · Computer Science 2011-09-13 P. Cimiano , A. Hotho , S. Staab

This paper describes an approach to assessing semantic annotation activities based on formal concept analysis (FCA). In this approach, annotators use taxonomical ontologies created by domain experts to annotate digital resources. Then,…

Formal Concept Analysis (FCA) is an approach to creating a conceptual hierarchy in which a \textit{concept lattice} is generated from a \textit{formal context}. That is, a triple consisting of a set of objects, $G$, a set of attributes,…

Logic in Computer Science · Computer Science 2024-10-08 Lucas Carr , Nicholas Leisegang , Thomas Meyer , Sebastian Rudolph

Formal Concept Analysis (FCA) is a well-established method for data analysis which finds many applications in data mining. Its extension on complex data representation formats brought a wave of new applications to the problems such as gene…

Information Retrieval · Computer Science 2018-09-27 Dmitry Morozov , Mario Lezoche , Hervé Panetto

The vast growth of data has rendered traditional manual inspection infeasible, necessitating the adoption of computational methods for efficient data exploration. Topic modeling has emerged as a powerful tool for analyzing large-scale…

Artificial Intelligence · Computer Science 2025-06-30 Klara M. Gutekunst , Dominik Dürrschnabel , Johannes Hirth , Gerd Stumme

The objectives of this research work which is intimately related to pattern discovery and management are threefold: (i) handle the problem of pattern manipulation by defining operations on patterns, (ii) study the problem of enriching and…

Databases · Computer Science 2009-02-25 Rokia Missaoui , Leonard Kwuida , Mohamed Quafafou , Jean Vaillancourt

Nowadays data sets are available in very complex and heterogeneous ways. Mining of such data collections is essential to support many real-world applications ranging from healthcare to marketing. In this work, we focus on the analysis of…

Artificial Intelligence · Computer Science 2015-04-10 Aleksey Buzmakov , Elias Egho , Nicolas Jay , Sergei O. Kuznetsov , Amedeo Napoli , Chedy Raïssi

Data lakes are widely used to store extensive and heterogeneous datasets for advanced analytics. However, the unstructured nature of data in these repositories introduces complexities in exploiting them and extracting meaningful insights.…

Databases · Computer Science 2024-08-27 Anes Bendimerad , Romain Mathonat , Youcef Remil , Mehdi Kaytoue

Formal Concept Analysis (FCA) provides a method called attribute exploration which helps a domain expert discover structural dependencies in knowledge domains that can be represented by a formal context (a cross table of objects and…

Artificial Intelligence · Computer Science 2022-06-02 Maximilian Felde , Gerd Stumme

Software testing uses wide range of different tools to enhance the complicated process of defining quality of the system under test. Formal Concept Analysis (FCA) provides us with algorithms of deriving formal ontology from a set of objects…

Software Engineering · Computer Science 2015-05-07 Fedor Strok

Formal Concept Analysis (FCA) offers several tools for qualitative data analysis. One possibility is to group objects that share common attributes together and get a concept lattice that describes the data. Quite often the size of this…

Logic · Mathematics 2017-09-26 Leonard Kwuida , Rostand Kuitché , Romuald Temgoua

Modern order and lattice theory provides convenient mathematical tools for pattern mining, in particular for condensed irredundant representations of pattern spaces and their efficient generation. Formal Concept Analysis (FCA) offers a…

Discrete Mathematics · Computer Science 2019-06-10 Aimene Belfodil , Sergei Kuznetsov , Mehdi Kaytoue

Motivated by the increased need for formalized representations of the domain of Data Mining, the success of using Formal Concept Analysis (FCA) and Ontology in several Computer Science fields, we present in this paper a new approach for…

Databases · Computer Science 2013-11-08 Amel Grissa Touzi , Hela Ben Massoud , Alaya Ayadi

Machine Learning (ML) provides important techniques for classification and predictions. Most of these are black-box models for users and do not provide decision-makers with an explanation. For the sake of transparency or more validity of…

Machine Learning · Computer Science 2021-02-26 Léonard Kwuida , Dmitry I. Ignatov

Formal concept analysis (FCA) is a useful mathematical tool for obtaining information from relational datasets. One of the most interesting research goals in FCA is the selection of the most representative variables of the dataset, which is…

Data Structures and Algorithms · Computer Science 2024-09-25 Roberto G. Aragón , Jesús Medina , Eloísa Ramírez-Poussa
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