Publications

Preprints:

Publications:

  1. L. Shen and X. Zhao. The powerset monad on quantale-valued sets. Fuzzy Sets and Systems, 479:108855, 2024. [Preprint] [arXiv] [Journal]
  2. L. Shen and H. Yang. Injective symmetric quantaloid-enriched categories. Theory and Applications of Categories, 39:1050-1076, 2023. [Preprint] [arXiv] [Journal]
  3. L. Shen and X. Tang. Isbell adjunctions and Kan adjunctions via quantale-enriched two-variable adjunctions. Applied Categorical Structures, 30:223-245, 2022. [Preprint] [arXiv] [Journal]
  4. H. Lai and L. Shen. Density in categorical topology via quantaloid-enriched categories. Topology and its Applications, 301:107524, 2021. [Preprint] [arXiv] [Journal]
  5. L. Shen. Diagonals between Q-distributors. Fuzzy Sets and Systems, 420:123-142, 2021. [Preprint] [arXiv] [Journal]
  6. H. Lai and L. Shen. Multi-adjoint concept lattices via quantaloid-enriched categories. Fuzzy Sets and Systems, 405:74-87, 2021. [Preprint] [arXiv] [Journal]
  7. H. Lai, L. Shen, Y. Tao and D. Zhang. Quantale-valued dissimilarity. Fuzzy Sets and Systems, 390:48-73, 2020. [Preprint] [arXiv] [Journal]
  8. J. He, H. Lai and L. Shen. Towards probabilistic partial metric spaces: Diagonals between distance distributions. Fuzzy Sets and Systems, 370:99-119, 2019. [Preprint] [arXiv] [Journal]
  9. J. Gutiérrez García, H. Lai and L. Shen. Fuzzy Galois connections on fuzzy sets. Fuzzy Sets and Systems, 352:26-55, 2018. [Preprint] [arXiv] [Journal]
  10. C.-Y. Du, L. Shen and X. Zhao. Spark complexes on good effective orbifold atlases categorically. Theory and Applications of Categories, 33(26):784-812, 2018. [Preprint] [arXiv] [Journal]
  11. H. Lai and L. Shen. Regularity vs. constructive complete (co)distributivity. Theory and Applications of Categories, 33(18):492-522, 2018. [Preprint] [arXiv] [Journal]
  12. H. Lai and L. Shen. Fixed points of adjoint functors enriched in a quantaloid. Fuzzy Sets and Systems, 321:1-28, 2017. [Preprint] [arXiv] [Journal]
  13. H. Lai, L. Shen and W. Tholen. Lax distributive laws for topology, II. Theory and Applications of Categories, 32(21):736-768, 2017. [Preprint] [arXiv] [Journal]
  14. L. Shen. Q-closure spaces. Fuzzy Sets and Systems, 300:102-133, 2016. [Preprint] [arXiv] [Journal]
  15. L. Shen, Y. Tao and D. Zhang. Chu connections and back diagonals between Q-distributors. Journal of Pure and Applied Algebra, 220(5):1858-1901, 2016. [Preprint] [arXiv] [Journal]
  16. L. Shen and W. Tholen. Topological categories, quantaloids and Isbell adjunctions. Topology and its Applications, 200:212-236, 2016. [Preprint] [arXiv] [Journal]
  17. L. Shen and W. Tholen. Limits and colimits of quantaloid-enriched categories and their distributors. Cahiers de Topologie et Géométrie Différentielle Catégoriques, 56(3):209-231, 2015. [Preprint] [arXiv] [Journal]
  18. L. Shen and D. Zhang. Categories enriched over a quantaloid: Isbell adjunctions and Kan adjunctions. Theory and Applications of Categories, 28(20):577-615, 2013. [Preprint] [arXiv] [Journal]
  19. L. Shen and D. Zhang. Formal concept analysis on fuzzy sets. Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting, 215-219. [Preprint] [Journal]
  20. L. Shen and D. Zhang. The concept lattice functors. International Journal of Approximate Reasoning, 54(1):166-183, 2013. [Preprint] [Journal]
  21. L. Shen and D. Zhang. Many-valued state property systems and closure spaces. Journal of Sichuan University (Natural Science Edition), 49(4):735-739, 2012. [Preprint] [Journal]

Theses:

  • L. Shen. Adjunctions in Quantaloid-enriched Categories. PhD thesis, Sichuan University, Chengdu, 2014. [English Version] [arXiv] [Chinese Version]
  • L. Shen. Functorial Properties of Concept Lattices. Master thesis, Sichuan University, Chengdu, 2011. [Chinese Version]