Formal Concept Analysis: Mathematical Foundations

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This is the first textbook on formal concept analysis. It gives a systematic presentation of the mathematical foundations and their relations to applications in computer science, especially in data analysis and knowledge processing. Above all, it presents graphical methods for representing conceptual systems that have proved themselves in communicating knowledge. Theory and graphical representation are thus closely coupled together. The mathematical foundations are treated thoroughly and illuminated by means of numerous examples. Since computers are being used ever more widely for knowledge processing, formal methods for conceptual analysis are gaining in importance. This book makes the basic theory for such methods accessible in a compact form.

Author(s): Prof. Dr. Bernhard Ganter, Prof. Dr. Rudolf Wille (auth.)
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1999

Language: English
Pages: 284
Tags: Information Storage and Retrieval

Front Matter....Pages I-X
Order-theoretic Foundations....Pages 1-15
Concept Lattices of Contexts....Pages 17-61
Determination and Representation....Pages 63-95
Parts and Factors....Pages 97-128
Decompositions of Concept Lattices....Pages 129-181
Constructions of Concept Lattices....Pages 183-217
Properties of Concept Lattices....Pages 219-244
Context Comparison and Conceptual Measurability....Pages 245-269
Back Matter....Pages 271-284