to the first edition
to the second edition
Acknowledgements
Contents
Chapter 0 Order-theoretic foundations
0.1 Ordered sets
0.2 Complete lattices
0.3 Closure operators
0.4 Galois connections
0.5 Notes, references, and trends
Chapter 1 Concept lattices of formal contexts
1.1 Formal context and formal concept
1.2 Formal context and concept lattice
1.3 Context constructions
1.4 Conceptual scaling of many-valued contexts
1.5 Notes, references, and trends
Chapter 2 Determination and representation
2.1 All formal concepts of a formal context
2.2 Diagrams of concept lattices
2.3 Implications
2.4 Clauses and dependencies
2.5 Notes, references, and trends
Chapter 3 Parts, factors, and bonds
3.1 Subcontexts
3.2 Complete congruences and tolerances
3.3 Closed subrelations
3.4 Bonds and connections
3.5 Notes, references, and trends
Chapter 4 Decompositions of concept lattices
4.1 Subdirect decompositions
4.2 Atlas decompositions
4.3 Substitution
4.4 Tensorial decompositions
4.5 Notes, references, and trends
Chapter 5 Constructions of concept lattices
5.1 Subdirect product constructions
5.2 Gluings
5.3 Local doubling
5.4 Tensorial constructions
5.5 Notes, references, and trends
Chapter 6 Properties of concept lattices
6.1 Size and breadth
6.2 Distributivity, modularity and semimodularity
6.3 Semidistributivity and local distributivity
6.4 Dimension
6.5 Notes, references, and trends
Chapter 7 Context comparison and conceptual measurement
7.1 Automorphisms and foldings
7.2 Morphisms
7.3 Scale measures
7.4 Measurability theorems
7.5 Notes, references, and trends
Chapter 8 Contextual concept logic
8.1 Contextual attribute logic
8.2 Pre-, proto-, and semiconcepts
8.3 Concept algebras
8.4 Contextual logic with relations
8.5 Notes, references, and trends
References
Formal contexts and concept lattices in this book
Index