Concept Equations

@article{Belohlvek2004ConceptE,
  title={Concept Equations},
  author={Radim Belohl{\'a}vek},
  journal={J. Log. Comput.},
  year={2004},
  volume={14},
  pages={395-403}
}
Studied in the paper are systems of equations which naturally arise in the formalization of the Port-Royal theory of concepts. The unknown quantity is a relation between objects and attributes. We study the case where the relation is fuzzy with truth values in a complete residuated lattice, covering therefore the special cases of complete Boolean algebras, Heyting algebras, MV-algebras etc. We answer the question of solvability, structure of solutions, and show how solvability of non-solvable… 

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