Multi-adjoint concept lattices via quantaloid-enriched categories
arXiv:1903.08922 · doi:10.1016/j.fss.2020.03.007
Abstract
With quantaloids carefully constructed from multi-adjoint frames, it is shown that multi-adjoint concept lattices, multi-adjoint property-oriented concept lattices and multi-adjoint object-oriented concept lattices are derivable from Isbell adjunctions, Kan adjunctions and dual Kan adjunctions between quantaloid-enriched categories, respectively.
arXiv comment14 pages, final version
References in corpus (6)
- Categorical structures enriched in a quantaloid: categories, distributors and functors
- Categorical structures enriched in a quantaloid: tensored and cotensored categories
- Categories enriched over a quantaloid: Isbell adjunctions and Kan adjunctions
- Adjunctions in Quantaloid-enriched Categories
- Fuzzy Galois connections on fuzzy sets
- Fixed points of adjoint functors enriched in a quantaloid