Acceso abierto

Formalization of Trellises and Tolerance Relations

 y   
31 dic 2024

Cite
Descargar portada

Garrett Birkho . Lattice Theory. Providence, Rhode Island, New York, 1967.Search in Google Scholar

Ivan Chajda and Bohdan Zelinka. Weakly associative lattices and tolerance relations. Czechoslovak Mathematical Journal, 26(2):259–269, 1976.Search in Google Scholar

B.A. Davey and H.A. Priestley. Introduction to Lattices and Order. Cambridge University Press, 2002.Search in Google Scholar

Ervin Fried and George Grätzer. Some examples of weakly associative lattices. Colloquium Mathematicum, 27:215–221, 1973. doi:10.4064/cm-27-2-215-221.Open DOISearch in Google Scholar

Adam Grabowski. On fuzzy negations and laws of contraposition. Lattice of fuzzy negations. Formalized Mathematics, 31(1):151–159, 2023. doi:10.2478/forma-2023-0014.Open DOISearch in Google Scholar

Adam Grabowski. Mechanizing complemented lattices within Mizar system. Journal of Automated Reasoning, 55:211–221, 2015. doi:10.1007/s10817-015-9333-5.Open DOISearch in Google Scholar

Adam Grabowski. Lattice theory for rough sets – a case study with Mizar. Fundamenta Informaticae, 147(2–3):223–240, 2016. doi:10.3233/FI-2016-1406.Open DOISearch in Google Scholar

Adam Grabowski and Takashi Mitsuishi. Extending Formal Fuzzy Sets with Triangular Norms and Conorms, volume 642: Advances in Intelligent Systems and Computing, pages 176–187. Springer International Publishing, Cham, 2018. doi:10.1007/978-3-319-66824-6_16.Open DOISearch in Google Scholar

Adam Grabowski and Takashi Mitsuishi. Formalizing lattice-theoretical aspects of rough and fuzzy sets. In D. Ciucci, G. Wang, S. Mitra, and W.Z. Wu, editors, Rough Sets and Knowledge Technology – 10th International Conference held as part of the International Joint Conference on Rough Sets (IJCRS), Tianjin, PR China, November 20–23, 2015, Proceedings, volume 9436 of Lecture Notes in Artificial Intelligence, pages 347–356. Springer, 2015. doi:10.1007/978-3-319-25754-9 31.Open DOISearch in Google Scholar

Adam Grabowski and Markus Moschner. Managing heterogeneous theories within a mathematical knowledge repository. In Andrea Asperti, Grzegorz Bancerek, and Andrzej Trybulec, editors, Mathematical Knowledge Management Proceedings, volume 3119 of Lecture Notes in Computer Science, pages 116–129. Springer, 2004. doi:10.1007/978-3-540-27818-4_9. 3rd International Conference on Mathematical Knowledge Management, Bialowieza, Poland, Sep. 19–21, 2004.Open DOISearch in Google Scholar

Adam Grabowski and Christoph Schwarzweller. Translating mathematical vernacular into knowledge repositories. In Michael Kohlhase, editor, Mathematical Knowledge Management, volume 3863 of Lecture Notes in Computer Science, pages 49–64. Springer, 2006. doi:10.1007/11618027 4. 4th International Conference on Mathematical Knowledge Management, Bremen, Germany, MKM 2005, July 15–17, 2005, Revised Selected Papers.Open DOISearch in Google Scholar

Adam Grabowski, Artur Korniłowicz, and Christoph Schwarzweller. Equality in computer proof-assistants. In Ganzha, Maria and Maciaszek, Leszek and Paprzycki, Marcin, editor, Proceedings of the 2015 Federated Conference on Computer Science and Information Systems, volume 5 of ACSIS-Annals of Computer Science and Information Systems, pages 45–54. IEEE, 2015. doi:10.15439/2015F229.Open DOISearch in Google Scholar

George Grätzer. General Lattice Theory. Academic Press, New York, 1978.Search in Google Scholar

George Grätzer. Lattice Theory: Foundation. Birkhäuser, 2011.Search in Google Scholar

Yu Kong and Bin Zhao. Uninorms on bounded trellises. Fuzzy Sets and Systems, 481: 108898, 2024. doi:10.1016/j.fss.2024.108898.Open DOISearch in Google Scholar

William McCune and Ranganathan Padmanabhan. Automated Deduction in Equational Logic and Cubic Curves. Springer-Verlag, Berlin, 1996.Search in Google Scholar

Ranganathan Padmanabhan and Sergiu Rudeanu. Axioms for Lattices and Boolean Algebras. World Scientific Publishers, 2008.Search in Google Scholar

Damian Sawicki and Adam Grabowski. On weakly associative lattices and near lattices. Formalized Mathematics, 29(2):77–85, 2021. doi:10.2478/forma-2021-0008.Open DOISearch in Google Scholar

Helen Skala. Trellis Theory. Providence, R.I.: American Mathematical Society, 1972.Search in Google Scholar

Helen L. Skala. Trellis theory. Algebra Universalis, 1:218–233, 1971. doi:10.1007/BF02944982.Open DOISearch in Google Scholar

Lemnaouar Zedam and Bernard De Baets. Triangular norms on bounded trellises. Fuzzy Sets and Systems, 462:108468, 2023. doi:10.1016/j.fss.2023.01.003.Open DOISearch in Google Scholar

Idioma:
Inglés
Calendario de la edición:
1 veces al año
Temas de la revista:
Matemáticas, Matemáticas generales, Informática, Informática, otros