Fuzzy Galois connections on fuzzy sets
From MaRDI portal
Publication:1795374
DOI10.1016/j.fss.2018.05.016zbMath1397.03075arXiv1707.08849OpenAlexW2741168341MaRDI QIDQ1795374
Javier Gutiérrez García, Lili Shen, Hongliang Lai
Publication date: 16 October 2018
Published in: Fuzzy Sets and Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1707.08849
Theory of fuzzy sets, etc. (03E72) Galois correspondences, closure operators (in relation to ordered sets) (06A15) Generalizations of ordered sets (06A75)
Related Items (6)
Relational Galois connections between transitive digraphs: characterization and construction ⋮ Monoids with quantale-valued preorders: globalizations and localizations ⋮ Diagonals between \(\mathcal{Q}\)-distributors ⋮ Quantale-valued dissimilarity ⋮ Multi-adjoint concept lattices via quantaloid-enriched categories ⋮ Towards probabilistic partial metric spaces: diagonals between distance distributions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Enriched categories and many-valued preorders: categorical, semantical, and topological perspectives
- An introduction to quantaloid-enriched categories
- Quantale-valued preorders: globalization and cocompleteness.
- Preordered sets valued in a GL-monoid
- A non-commutative and non-idempotent theory of quantale sets
- \(\mathcal{Q}\)-closure spaces
- Fuzzy preorder and fuzzy topology
- Partial quasi-metrics
- Concept lattices of fuzzy contexts: formal concept analysis vs. rough set theory
- Variation through enrichment
- Partial ordering in L-underdeterminate sets
- Non-commutative fuzzy Galois connections
- Non-dual fuzzy connections
- Concept lattices and order in fuzzy logic
- The concept lattice functors
- Yoneda completeness and flat completeness of ordered fuzzy sets
- The double power monad is the composite power monad
- Fixed points of adjoint functors enriched in a quantaloid
- Complete and directed complete \(\Omega \)-categories
- Similarity relations and fuzzy orderings
- Topological categories, quantaloids and Isbell adjunctions
- Galois connections categorically
- Categories enriched over a quantaloid: Isbell adjunctions and Kan adjunctions
- Monoidal Topology
- Many-Valued Preorders I: The Basis of Many-Valued Mathematics
- Partial Metric Spaces
- Limits and colimits of quantaloid-enriched categories and their distributors
- Fuzzy Galois connections categorically
- Metric spaces, generalized logic, and closed categories
- Partial Metric Topology
- Fuzzy Galois Connections
- Fuzzy Galois connections on fuzzy posets
- Galois Connexions
This page was built for publication: Fuzzy Galois connections on fuzzy sets