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Implication

  • An implication A → B (between sets A,B∈M of attributes) holds in a formal context if and only if B⊆A‘‘
    • i.e. if every object that has all attributes in A also has all attributes in B
    • e.g. if X has feather and has beak then is a bird

  • The implication determines the concept lattice up to isomorphism and therefore offers an additional interpretation of the lattice structure

  • Implications can be used for a step-wise construction of conceputal knowledge


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