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Conceptual graphs and formal concept analysis
, 1997 It is shown how Conceptual Graphs and Formal Concept Analysis may be combined to obtain a formalization of Elementary Logic which is useful for knowledge representation and processing. For this, a translation of conceptual graphs to formal contexts and concept lattices is described through an example.
Rudolf Wille, Wille, Rudolf
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Concept reduction on interval formal concept analysis
9th IEEE International Conference on Cognitive Informatics (ICCI'10), 2010A concept clustering method on interval concept lattice is introduced in this paper. Based on the distance between two formal concepts defined, the clustering method is presented. Clustering can reduce the size of interval concept lattice to get better interval lattice structure which can be easier to understand.
Zhou Wen +3 more
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2018
Formal Context Analysis is a mathematical theory that enables us to find concepts from a given set of objects, a set of attributes and a relation on them. There is a hierarchy of such concepts, from which a complete lattice can be made. In this paper we present a generalization of these ideas using fuzzy subsets and fuzzy implications defined from ...
Abner Brito +4 more
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Formal Context Analysis is a mathematical theory that enables us to find concepts from a given set of objects, a set of attributes and a relation on them. There is a hierarchy of such concepts, from which a complete lattice can be made. In this paper we present a generalization of these ideas using fuzzy subsets and fuzzy implications defined from ...
Abner Brito +4 more
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Monadic Formal Concept Analysis
2014Formal Concept Analysis (FCA) as inherently relational can be formalized and generalized by using categorical constructions. This provides a categorical view of the relation between “object” and “attributes”, which can be further extended to a more generalized view on relations as morphisms in Kleisli categories of suitable monads. Structure of sets of
Patrik Eklund +3 more
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2011
Formal concept analysis identifies conceptual structures among data sets. Multi-level modeling potentialities in formal concept analysis are highlighted.
Rainer Brüggemann, Ganapati P. Patil
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Formal concept analysis identifies conceptual structures among data sets. Multi-level modeling potentialities in formal concept analysis are highlighted.
Rainer Brüggemann, Ganapati P. Patil
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Generalized Formal Concept Analysis
2000Formal Concept Analysis is an algebraic model based on a Galois connection that is used for symbolic knowledge exploration from an elementary form of the representation of data (“formal context”). The aim of this paper is to design the theoretical models required for the extension of Formal Concept Analysis to any kind of lattice-structured set of ...
Laurent Chaudron, Nicolas Maille
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1999
In this paper, we present a novel approach for approximating concepts in the framework of formal concept analysis. Two main problems are investigated. The first, given a set A of objects (or a set B of features), we want to find a formal concept that approximates A (or B).
Jamil Saquer, Jitender S. Deogun
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In this paper, we present a novel approach for approximating concepts in the framework of formal concept analysis. Two main problems are investigated. The first, given a set A of objects (or a set B of features), we want to find a formal concept that approximates A (or B).
Jamil Saquer, Jitender S. Deogun
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Approximation in Formal Concept Analysis
2005We introduce a pair of rough set approximations in formal concept analysis. The proposed approximation operators are defined based on both lattice-theoretic and set-theoretic operators. The properties of the approximation operators are examined. Algorithms for attribute reduction and object reduction in concept lattices are presented.
Ming-Wen Shao, Wen-Xiu Zhang
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Formal concept analysis of multi-scale formal context
Journal of Ambient Intelligence and Humanized Computing, 2020The case that attributes have a single value is considered in the classical formal concept. However, real-life data involve multi-level attribute values, which means that attributes have different values on different scales. In order to deal with multi-level attributes, we introduce the concept of multi-scale formal context in this paper.
Dongxiao Chen, Jinjin Li, Rongde Lin
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Concept Drift in documents and Formal Concept Analysis
2010Formal Concept Analysis (FCA) enables us to extract conceptual information from data and to visualize its structure in a lattice form. Here, we apply FCA to the analysis of a series of documents published periodically, in order to capture drifts of formal concepts occurred in the series by shifting the corresponding formal context as a viewpoint by ...
Yutaka Miyazaki, Yuzuru Tanaka
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