2026-06-29T16:40:03Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/423692023-08-28T05:56:48Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Combarro, Elías F.
author
Miranda Menéndez, Pedro
2023-06-20T00:18:30Z
2023-06-20T00:18:30Z
2010
0020-0255
10.1016/j.ins.2009.09.020
https://hdl.handle.net/20.500.14352/42369
http://www.sciencedirect.com/science/article/pii/S0020025509004241
http://www.sciencedirect.com
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.
eng
Characterizing isometries on the order polytope with an application to the theory of fuzzy measures
journal article
URL
https://docta.ucm.es/bitstreams/35f211cb-0fa2-444f-bd6c-455196f49dca/download
File
MD5
658adb62cfd25896e6ef09ce69707429
519140
application/pdf
Miranda05.pdf