Formal Concept Analysis

Foundations and Applications

By: Bernhard Ganter (Editor), Gerd Stumme (Editor), Rudolf Wille (Editor)

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Paperback | 14 July 2005

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368 Pages

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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 successful in a wide range of application fields.

This book constitutes a comprehensive and systematic presentation of the state of the art of formal concept analysis and its applications. The first part of the book is devoted to foundational and methodological topics. The contributions in the second part demonstrate how formal concept analysis is successfully used outside of mathematics, in linguistics, text retrieval, association rule mining, data analysis, and economics. The third part presents applications in software engineering.

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Foundations
Formal Concept Analysis as Mathematical Theory of Concepts and Concept Hierarchies	p. 1
Semiconcept and Protoconcept Algebras: The Basic Theorems	p. 34
Features of Interaction Between Formal Concept Analysis and Algebraic Geometry	p. 49
From Formal Concept Analysis to Contextual Logic	p. 81
Contextual Attribute Logic of Many-Valued Attributes	p. 101
Treating Incomplete Knowledge in Formal Concept Analysis	p. 114
States, Transitions, and Life Tracks in Temporal Concept Analysis	p. 127
Applications
Linguistic Applications of Formal Concept Analysis	p. 149
Using Concept Lattices for Text Retrieval and Mining	p. 161
Efficient Mining of Association Rules Basedon Formal Concept Analysis	p. 180
Galois Connections in Data Analysis: Contributions from the Soviet Era and Modern Russian Research	p. 196
Conceptual Knowledge Processing in the Field of Economics	p. 226
Software Engineering
A Survey of Formal Concept Analysis Support for Software Engineering Activities	p. 250
Concept Lattices in Software Analysis	p. 272
Formal Concept Analysis Used for Software Analysis and Modelling	p. 288
Formal Concept Analysis-Based Class Hierarchy Design in Object-Oriented Software Development	p. 304
The ToscanaJ Suite for Implementing Conceptual Information Systems	p. 324
Author Index	p. 349
Table of Contents provided by Publisher. All Rights Reserved.

Formal Concept Analysis

Foundations and Applications

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