concept
active
concept:closure-operatorsClosure Operators
Operators X → X'' on subsets of objects or attributes, satisfying extensivity, monotonicity and idempotence.
Neighborhood — ranked by edge-count
Frameworks (1)
framework
- Complete Latticesassociated_withCentral mathematical structure explored throughout the paper; ordered sets with special properties for all suprema and infima.
Communities (1)
community
- Formal Concept Analysismembers_of
Concepts (3)
concept
- derivation operatorsassociated_withMappings A' = {m | ∀g∈A: gIm} and B' = {g | ∀m∈B: gIm} that form the basis of concept formation.
- Formal Conceptassociated_withA pair (A, B) where A is an extent of objects and B is an intent of attributes, satisfying closure conditions.
- closed setsassociated_withSets that are images of a closure operator; in FCA the extents and intents of formal concepts.
Artifacts (1)
artifact
- Slide deck tutorial on Formal Concept Analysis by Bernhard Ganter presented at Dresden ICCL Summer School, June/July 2006.
Related by similarity (8)
cosine ≥ 0.65 · no typed edgeEntities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.
- Dynamic condition: ending a branch or closing a frame.
- Efficient algorithm for computing all closed sets (intents or extents) in lectic order without storing exponential lists.
- The property of a subsystem that cannot influence others; used to lesion systems in simulations.
- Circular topology of production processes whereby the product of a system's operation is its own organization.
- A set property meaning all coordinate patches of its elements remain within the set; proved equivalent to axis-aligned hyperrectangles
- Pearl's causal intervention operator used in EI definition to set input distribution uniform.
- Every autonomous system is organizationally closed, with eigenbehaviour constituting invariant identity.
- Rosen's key concept making the (M,R)-system an irreducible cause of its own organization.