Formal Concept Analysis

1. Front Matter

   Pages I-X

   PDF

2. Order-theoretic Foundations

   • Bernhard Ganter, Rudolf Wille

   Pages 1-15

3. Concept Lattices of Contexts

   • Bernhard Ganter, Rudolf Wille

   Pages 17-61

4. Determination and Representation

   • Bernhard Ganter, Rudolf Wille

   Pages 63-95

5. Parts and Factors

   • Bernhard Ganter, Rudolf Wille

   Pages 97-128

6. Decompositions of Concept Lattices

   • Bernhard Ganter, Rudolf Wille

   Pages 129-181

7. Constructions of Concept Lattices

   • Bernhard Ganter, Rudolf Wille

   Pages 183-217

8. Properties of Concept Lattices

   • Bernhard Ganter, Rudolf Wille

   Pages 219-244

9. Context Comparison and Conceptual Measurability

   • Bernhard Ganter, Rudolf Wille

   Pages 245-269

10. Back Matter

    Pages 271-284

    PDF

Formal Concept AllalY.5is is a field of applied mathematics based on the math­ ematization of concept and conceptual hierarchy. It thereby activates math­ ematical thinking for conceptual data analysis and knowledge processing. The underlying notion of "concept" evolved early in the philosophical theory of concepts and still has effects today. For example, it has left its mark in the German standards DIN 2:)30 and DIN 2;3:)1. In mathematics it played a special role during the emergence of mathematical logic in the 19th century. Subsequently, however, it had virtually no impact on mathematical thinking. It was not until 1979 that the topic was revisited and treated more thoroughly. Since then, through a large number of contributions, Formal Concept Analysis has obtained such breadth that a systematic presentation is urgently needed, but can no longer be realized in one volume. Therefore, the present book foruse:':! on the mathematical foundations of Formal Concept Analysis, which ran be regarded chiefly as a branch of ap­ plied lattice theory. A series of examples serves to demonstrate the utility of the lnathematical definitions and results; in particular, to show how Formal Concept Analysis can be used for the conceptual unfolding of data contexts. These examples do not play the role of case studies in data analysis. A is intended for a comprehensive treatment of methods of separate volume conceptual data and knowledge processing. The general foundations of For­ mal Concept Analysis will also be treated separately.

• Datenanalyse
• Dokumentation
• Formale Begriffsanalyse
• Wissensverarbeitung
• calculus
• computer science
• data analysis
• documentation
• formal concept analysis
• knowledge processing

• Institut für Algebra, Fakultät für Mathematik und Naturwissenschaften, Technische Universität Dresden, Dresden, Germany

  Bernhard Ganter

• Arbeitsgruppe Allgemeine Algebra Fachbereich Mathematik, Technische Universität Darmstadt, Darmstadt, Germany

  Rudolf Wille

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