Formal Concept Analysis: Mathematical Foundations
β Scribed by Prof. Dr. Bernhard Ganter, Prof. Dr. Rudolf Wille (auth.)
- Publisher
- Springer-Verlag Berlin Heidelberg
- Year
- 1999
- Tongue
- English
- Leaves
- 287
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
β¦ Table of Contents
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
β¦ Subjects
Information Storage and Retrieval
π SIMILAR VOLUMES
<p><P>Formal concept analysis has been developed as a field of applied mathematics based on the mathematization of concept and concept hierarchy. It thereby allows us to mathematically represent, analyze, and construct conceptual structures. The formal concept analysis approach has been proven succe
<p><span>Formal concept analysis has been developed as a field of applied mathematics based on the mathematization of concept and concept hierarchy. It thereby allows us to mathematically represent, analyze, and construct conceptual structures. The formal concept analysis approach has been proven su
<p>The book studies the existing and potential connections between Social Network Analysis (SNA) and Formal Concept Analysis (FCA) by showing how standard SNA techniques, usually based on graph theory, can be supplemented by FCA methods, which rely on lattice theory.<p></p><p></p>The book presents c
<span>FCA is an important formalism that is associated with a variety of research areas such as lattice theory, knowledge representation, data mining, machine learning, and semantic Web.Β It is successfully exploited in an increasing number of application domains such as software engineering, informa
<span>FCA is an important formalism that is associated with a variety of research areas such as lattice theory, knowledge representation, data mining, machine learning, and semantic Web.Β It is successfully exploited in an increasing number of application domains such as software engineering, informa