Seiffarth, Florian; Horváth, Tamás; Wrobel, Stefan Maximal closed set and half-space separations in finite closure systems. (English) Zbl 1520.68158 Theor. Comput. Sci. 973, Article ID 114105, 17 p. (2023). MSC: 68T05 06A15 PDFBibTeX XMLCite \textit{F. Seiffarth} et al., Theor. Comput. Sci. 973, Article ID 114105, 17 p. (2023; Zbl 1520.68158) Full Text: DOI arXiv
R. Alcantud, José Carlos; Zhan, Jianming Convex rough sets on finite domains. (English) Zbl 07825503 Inf. Sci. 611, 81-94 (2022). MSC: 68-XX 52-XX PDFBibTeX XMLCite \textit{J. C. R. Alcantud} and \textit{J. Zhan}, Inf. Sci. 611, 81--94 (2022; Zbl 07825503) Full Text: DOI
Cantone, Domenico; Doignon, Jean-Paul; Giarlotta, Alfio; Watson, Stephen Resolutions of convex geometries. (English) Zbl 1477.52001 Electron. J. Comb. 28, No. 4, Research Paper P4.26, 39 p. (2021). MSC: 52A01 05B25 06A07 51D20 PDFBibTeX XMLCite \textit{D. Cantone} et al., Electron. J. Comb. 28, No. 4, Research Paper P4.26, 39 p. (2021; Zbl 1477.52001) Full Text: DOI arXiv
Gillespie, Bryan R. Convexity in ordered matroids and the generalized external order. (English) Zbl 1446.05012 Electron. J. Comb. 27, No. 3, Research Paper P3.41, 21 p. (2020). MSC: 05B35 52B40 06C10 52A01 PDFBibTeX XMLCite \textit{B. R. Gillespie}, Electron. J. Comb. 27, No. 3, Research Paper P3.41, 21 p. (2020; Zbl 1446.05012) Full Text: DOI arXiv
Marti, Johannes; Pinosio, Riccardo A discrete duality between nonmonotonic consequence relations and convex geometries. (English) Zbl 1481.03011 Order 37, No. 1, 151-171 (2020). MSC: 03B60 03B42 52A01 91B14 PDFBibTeX XMLCite \textit{J. Marti} and \textit{R. Pinosio}, Order 37, No. 1, 151--171 (2020; Zbl 1481.03011) Full Text: DOI
Kempner, Yulia; Levit, Vadim E. Violator spaces vs closure spaces. (English) Zbl 1437.90099 Eur. J. Comb. 80, 203-213 (2019). Reviewer: I. M. Stancu-Minasian (Bucureşti) MSC: 90C05 PDFBibTeX XMLCite \textit{Y. Kempner} and \textit{V. E. Levit}, Eur. J. Comb. 80, 203--213 (2019; Zbl 1437.90099) Full Text: DOI arXiv
Kempner, Yulia; Levit, Vadim E. Krein-Milman spaces. (English) Zbl 1401.52002 Garijo, Delia (ed.) et al., Discrete mathematics days 2018. Extended abstracts of the 11th “Jornadas de matemática discreta y algorítmica” (JMDA), Sevilla, Spain, June 27–29, 2018. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 68, 281-286 (2018). MSC: 52A07 PDFBibTeX XMLCite \textit{Y. Kempner} and \textit{V. E. Levit}, Electron. Notes Discrete Math. 68, 281--286 (2018; Zbl 1401.52002) Full Text: DOI
Fuji, Jugo Substitutable choice functions and convex geometry. (English) Zbl 1314.91093 Discrete Appl. Math. 186, 283-285 (2015). MSC: 91B06 52A01 05B35 PDFBibTeX XMLCite \textit{J. Fuji}, Discrete Appl. Math. 186, 283--285 (2015; Zbl 1314.91093) Full Text: DOI
Pfaltz, J. L.; Šlapal, J. Transformations of discrete closure systems. (English) Zbl 1299.54027 Acta Math. Hung. 138, No. 4, 386-405 (2013). MSC: 54B30 54A05 54C99 PDFBibTeX XMLCite \textit{J. L. Pfaltz} and \textit{J. Šlapal}, Acta Math. Hung. 138, No. 4, 386--405 (2013; Zbl 1299.54027) Full Text: DOI
Ryan, Matthew J. Mixture sets on finite domains. (English) Zbl 1198.91063 Decis. Econ. Finance 33, No. 2, 139-147 (2010). MSC: 91B06 52A01 PDFBibTeX XMLCite \textit{M. J. Ryan}, Decis. Econ. Finance 33, No. 2, 139--147 (2010; Zbl 1198.91063) Full Text: DOI
Kempner, Yulia; Levit, Vadim E. Duality between quasi-concave functions and monotone linkage functions. (English) Zbl 1228.05280 Discrete Math. 310, No. 22, 3211-3218 (2010). MSC: 05D05 05B25 51A05 91B02 PDFBibTeX XMLCite \textit{Y. Kempner} and \textit{V. E. Levit}, Discrete Math. 310, No. 22, 3211--3218 (2010; Zbl 1228.05280) Full Text: DOI arXiv
Bordalo, Gabriela; Caspard, Nathalie; Monjardet, Bernard Going down in (semi)lattices of finite Moore families and convex geometries. (English) Zbl 1224.06005 Czech. Math. J. 59, No. 1, 249-271 (2009). MSC: 06A12 05B25 06A15 PDFBibTeX XMLCite \textit{G. Bordalo} et al., Czech. Math. J. 59, No. 1, 249--271 (2009; Zbl 1224.06005) Full Text: DOI EuDML Link
Monjardet, B. Statement of precedence and a comment on IIA terminology. (English) Zbl 1141.91010 Games Econ. Behav. 62, No. 2, 736-738 (2008). Reviewer: Maurice Salles (Louvigny) MSC: 91B06 91B42 PDFBibTeX XMLCite \textit{B. Monjardet}, Games Econ. Behav. 62, No. 2, 736--738 (2008; Zbl 1141.91010) Full Text: DOI
Monjardet, Bernard Some order dualities in logic, games and choices. (English) Zbl 1115.06004 Int. Game Theory Rev. 9, No. 1, 1-12 (2007). MSC: 06A15 03B22 91A70 91A12 91B14 PDFBibTeX XMLCite \textit{B. Monjardet}, Int. Game Theory Rev. 9, No. 1, 1--12 (2007; Zbl 1115.06004) Full Text: DOI
Ando, Kazutoshi Extreme point axioms for closure spaces. (English) Zbl 1110.54001 Discrete Math. 306, No. 24, 3181-3188 (2006). Reviewer: Bernhard Behrens (Göteborg) MSC: 54A05 05B35 91B08 52A01 PDFBibTeX XMLCite \textit{K. Ando}, Discrete Math. 306, No. 24, 3181--3188 (2006; Zbl 1110.54001) Full Text: DOI
Danilov, V.; Koshevoy, G. A new characterization of the path independent choice functions. (English) Zbl 1184.91084 Math. Soc. Sci. 51, No. 2, 238-245 (2006). MSC: 91B14 91B06 PDFBibTeX XMLCite \textit{V. Danilov} and \textit{G. Koshevoy}, Math. Soc. Sci. 51, No. 2, 238--245 (2006; Zbl 1184.91084) Full Text: DOI
Danilov, V.; Koshevoy, G. Mathematics of Plott choice functions. (English) Zbl 1115.91022 Math. Soc. Sci. 49, No. 3, 245-272 (2005). MSC: 91B14 05C69 06B20 52A41 PDFBibTeX XMLCite \textit{V. Danilov} and \textit{G. Koshevoy}, Math. Soc. Sci. 49, No. 3, 245--272 (2005; Zbl 1115.91022) Full Text: DOI arXiv
Koshevoy, Gleb A. Path-independence and closure operators with the anti-exchange property. (English) Zbl 1090.90164 Discrete Appl. Math. 147, No. 1, 81-89 (2005). MSC: 90C27 PDFBibTeX XMLCite \textit{G. A. Koshevoy}, Discrete Appl. Math. 147, No. 1, 81--89 (2005; Zbl 1090.90164) Full Text: DOI
Kashiwabara, Kenji; Nakamura, Masataka; Okamoto, Yoshio The affine representation theorem for abstract convex geometries. (English) Zbl 1113.52002 Comput. Geom. 30, No. 2, 129-144 (2005). MSC: 52A01 52C40 PDFBibTeX XMLCite \textit{K. Kashiwabara} et al., Comput. Geom. 30, No. 2, 129--144 (2005; Zbl 1113.52002) Full Text: DOI
Monjardet, Bernard The presence of lattice theory in discrete problems of mathematical social sciences. Why. (English) Zbl 1054.91062 Math. Soc. Sci. 46, No. 2, 103-144 (2003). MSC: 91B68 PDFBibTeX XMLCite \textit{B. Monjardet}, Math. Soc. Sci. 46, No. 2, 103--144 (2003; Zbl 1054.91062) Full Text: DOI
Caspard, Nathalie; Monjardet, Bernard The lattices of closure systems, closure operators, and implicational systems on a finite set: A survey. (English) Zbl 1026.06008 Discrete Appl. Math. 127, No. 2, 241-269 (2003); erratum ibid. 145, No. 3, 333 (2005). MSC: 06A15 68P15 PDFBibTeX XMLCite \textit{N. Caspard} and \textit{B. Monjardet}, Discrete Appl. Math. 127, No. 2, 241--269 (2003; Zbl 1026.06008) Full Text: DOI