RT Journal Article
T1 Characterizing isometries on the order polytope with an application to the theory of fuzzy measures
A1 Combarro, Elías F.
A1 Miranda Menéndez, Pedro
AB In this paper we study the group of isometries over the order polytope of a poset. We provide a result that characterizes any isometry based on the order structure in the original poset. From this result we provide upper bounds for the number of isometries over the order polytope in terms of its number of connected components. Finally, as an example of application, we recover the set of isometries for the polytope of fuzzy measures and the polytope of p-symmetric measures when the indifference partition is fixed.
PB Elsevier
SN 0020-0255
YR 2010
FD 2010
LK https://hdl.handle.net/20.500.14352/42369
UL https://hdl.handle.net/20.500.14352/42369
LA eng
NO MEC
NO FEDER
DS Docta Complutense
RD 6 abr 2025