RT Journal Article
T1 Structure of polytopes associated to non-additive measures via toric ideals and Gröbner bases
A1 García Segador, Pedro
A1 Miranda Menéndez, Pedro
AB In this paper we study the geometrical structure of some polytopes appearing in the study of families of non-additive measures using toric ideals and Gröbner bases. Toric ideals and Gröbner bases are tools appearing in Computational Algebra when dealing with ideals in the ring of polynomials in several variables, and they have been applied for obtaining both the faces and a triangulation of a polytope whose vertices are integer-valued. In this paper we provide examples on which we compare these tools with other ones: order polytopes and the polytope of 2-additive measures. Finally, we derive the combinatorial structure of the subfamily of 2-additive k-ary capacities.
PB Springer Nature Link
SN 0040-5833
SN 1573-7187
YR 2025
FD 2025
LK https://hdl.handle.net/20.500.14352/124701
UL https://hdl.handle.net/20.500.14352/124701
LA eng
NO García-Segador, P., & Miranda, P. Structure of polytopes associated to non-additive measures via toric ideals and Gröbner bases: P. García-Segador, P. Miranda. Theory and Decision, 2025;1-29.
NO Acuerdos Transfomativos CRUE 2025
DS Docta Complutense
RD 14 oct 2025