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Definition: Formal Concept

  • A pair (A,B) is a formal concept of (G,M,I) if and only if
    • A ⊆ G
    • B ⊆ M
    • A‘ = B, and A = B‘
  • Note that at this point the incidence relationship is closed ; i.e. all objects of the concept carry all its attributes and that there is no other object in G carrying all attributes of the concept
  • A is called the extent (Umfang) of the concept (A,B)
  • B is called the intent (Inhalt) of the concept (A,B)

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