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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…

人工智能 · 计算机科学 2025-08-12 Jessie Galasso

Despite the popularity of Formal Concept Analysis (FCA) as a mathematical framework for data analysis, some of its extensions are still considered arcane. Polyadic Concept Analysis (PCA) is one of the most promising yet understudied of…

离散数学 · 计算机科学 2022-03-29 Alexandre Bazin , Giacomo Kahn , Camille Noûs

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…

机器学习 · 计算机科学 2023-11-03 Dusko Pavlovic

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…

信息检索 · 计算机科学 2017-03-09 Dmitry I. Ignatov

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,…

计算机科学中的逻辑 · 计算机科学 2024-10-08 Lucas Carr , Nicholas Leisegang , Thomas Meyer , Sebastian Rudolph

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…

人工智能 · 计算机科学 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…

离散数学 · 计算机科学 2015-06-17 Aleksey Buzmakov , Sergei O. Kuznetsov , Amedeo Napoli

Formal Concept Analysis "FCA" is a data analysis method which enables to discover hidden knowledge existing in data. A kind of hidden knowledge extracted from data is association rules. Different quality measures were reported in the…

信息论 · 计算机科学 2010-08-24 Dhouha Grissa , Sylvie Guillaume , Engelbert Mephu Nguifo

Formal Concept Analysis (FCA) is a mathematical theory based on the formalization of the notions of concept and concept hierarchies. It has been successfully applied to several Computer Science fields such as data mining,software…

人工智能 · 计算机科学 2009-05-29 Leonard Kwuida , Rokia Missaoui , Lahcen Boumedjout , Jean Vaillancourt

In this paper we describe a mechanism to improve Information Retrieval (IR) on the web. The method is based on Formal Concepts Analysis (FCA) that it is makes semantical relations during the queries, and allows a reorganizing, in the shape…

信息检索 · 计算机科学 2010-03-09 Abderrahim El Qadi , Driss Aboutajedine , Yassine Ennouary

Concept Hierarchies and Formal Concept Analysis are theoretically well grounded and largely experimented methods. They rely on line diagrams called Galois lattices for visualizing and analysing object-attribute sets. Galois lattices are…

机器学习 · 统计学 2013-03-12 Michel Crampes , Michel Plantié

Fighting criminal activities in our modern societies required the engagement of intelligent information systems that can analyze crime data geographically and enable new concepts to be deduced from it. These information systems should be…

计算机与社会 · 计算机科学 2013-10-04 Quist-Aphetsi Kester

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…

人工智能 · 计算机科学 2022-06-02 Maximilian Felde , Gerd Stumme

We relate two formerly independent areas: Formal concept analysis and logic of domains. We will establish a correspondene between contextual attribute logic on formal contexts resp. concept lattices and a clausal logic on coherent algebraic…

计算机科学中的逻辑 · 计算机科学 2007-05-23 Pascal Hitzler , Matthias Wendt

Generating a huge number of association rules reduces their utility in the decision making process, done by domain experts. In this context, based on the theory of Formal Concept Analysis, we propose to extend the notion of Formal Concept…

数据库 · 计算机科学 2012-09-19 Wafa Tebourski Ourida Ben Boubaker Saidi

Data is always at the center of the theoretical development and investigation of the applicability of formal concept analysis. It is therefore not surprising that a large number of data sets are repeatedly used in scholarly articles and…

人工智能 · 计算机科学 2025-04-30 Tom Hanika , Robert Jäschke

Our aim is to build a set of rules, such that reasoning over temporal dependencies within gene regulatory networks is possible. The underlying transitions may be obtained by discretizing observed time series, or they are generated based on…

分子网络 · 定量生物学 2008-07-22 Johannes Wollbold , Reinhard Guthke , Bernhard Ganter

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…

信息检索 · 计算机科学 2018-09-27 Dmitry Morozov , Mario Lezoche , Hervé Panetto

We propose a formal treatment of scenarios in the context of a dialectical argumentation formalism for qualitative reasoning about uncertain propositions. Our formalism extends prior work in which arguments for and against uncertain…

人工智能 · 计算机科学 2013-01-07 Peter McBurney , Simon Parsons

Formal Concept Analysis has proven to be an effective method of restructuring complete lattices and various algebraic domains. In this paper, the notions of attribute continuous formal context and continuous formal concept are introduced by…

计算机科学中的逻辑 · 计算机科学 2021-03-23 Longchun Wang Lankun Guo , Qingguo Li
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