RT Journal Article
T1 On the polytope of 3-tolerant fuzzy measures
A1 García Segador, P.
A1 Miranda Menéndez, Pedro
AB In this paper we study some geometrical properties of the polytope of 3-tolerant fuzzy measures. To achieve this task, we profit that this polytope is an order polytope and hence many properties can be extracted from the subjacent poset. The main result in the paper is a straightforward procedure for obtaining a random 3-tolerant fuzzy measure. We also compute the volume and obtain some other properties of this polytope. These results can be also applied by duality to the polytope of 3-intolerant measures and they can also be easily extended to other subfamilies of fuzzy measures.
PB World Scientific
SN 0218-4885
SN 1793-6411
YR 2023
FD 2023-02
LK https://hdl.handle.net/20.500.14352/105917
UL https://hdl.handle.net/20.500.14352/105917
LA eng
NO García-Segador, P., & Miranda, P.. On the polytope of 3-tolerant fuzzy measures. Int. J. Uncertain. Fuzziness Knowl.-Based Syst., 2023 :31(01): 57-82.
DS Docta Complutense
RD 10 abr 2025