2026-06-28T10:11:39Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/531692023-09-07T19:26:03Zcom_20.500.14352_14col_20.500.14352_21
Docta Complutense
author
Combarro, Elías F.
author
Miranda Menéndez, Pedro
editor
Torra, Vicenç
editor
Narukawa, Yasuo
2023-06-20T13:38:37Z
2023-06-20T13:38:37Z
2008
978-3-540-88268-8
10.1007/978-3-540-88269-5_8
https://hdl.handle.net/20.500.14352/53169
http://www.springerlink.com/content/ekv20717683wl3gv/fulltext.pdf
http://www.springerlink.com
In this paper we deal with the problem of studying the structure of the polytope of fuzzy measure for finite referential sets. We prove that the diameter of tire polytope of fuzzy measures is 3 for referentials of 3 elements or more. We also show that the polytope is combinatorial, whence we deduce that the adjacency graph of fuzzy measures is Hamilton connected if the cardinality of the referential set is not 2. We also give some results about the facets and edges of this polytope. Finally, we treat the corresponding results for the polytope given by the convex hull of monotone boolean functions.
eng
The Polytope of Fuzzy Measures and Its Adjacency Graph
book part
URL
https://docta.ucm.es/bitstreams/9c9552f7-a499-4d17-96ee-6af1498c07b9/download
File
MD5
59b9664ce17749b2385fcc5ba7f8dff5
507660
application/pdf
Miranda11.pdf