4 papers
math.CT2025
Completeness of quantaloid-enriched categories up to Morita equivalence
Xiaoye Tang
For a small quantaloid , we introduce -(co)complete -categories, i.e., (co)complete -categories up to Morita equivalence, as Eil…
cs.LO2025
Reducts of fuzzy contexts: Formal concept analysis vs. rough set theory
Yuxu Chen, Jing Liu, Lili Shen +1
We postulate the intuitive idea of reducts of fuzzy contexts based on formal concept analysis and rough set theory. For a complete residuated lattice , it is shown that reducts…
math.CT2024
Quantale-valued maps and partial maps
Lili Shen, Xiaoye Tang
Let be a commutative and unital quantale. By a -map we mean a left adjoint in the quantaloid of sets and -relations, and by a partial $\mathsf{…
math.CT2021
Isbell adjunctions and Kan adjunctions via quantale-enriched two-variable adjunctions
Lili Shen, Xiaoye Tang
It is shown that every two-variable adjunction in categories enriched in a commutative quantale serves as a base for constructing Isbell adjunctions between functor categories, and…