Ganter B., Wille F. Formal Concept Analysis. Mathematical Foundations

Textbook. — Springer, 1999. — 284 p.This is the first textbook on formal concept analysis. It gives a systematic presentation of the mathematical foundations and their relation 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.Order-theoretic Foundations.
Concept Lattices of Contexts.
Determination and Representation.
Parts and Factors.
Decompositions of Concept Lattices.
Constructions of Concept Lattices.
Properties of Concept Lattices.
Context Comparison and Conceptual Measurability.