RT Book, Section
T1 Hesitant fuzzy sets and relations using lists
A1 González Del Campo Rodríguez Barbero, Ramón
A1 Garmendia Salvador, Luis
A1 Recasens, Jordi
A1 Montero De Juan, Francisco Javier
AB Hesitant Fuzzy Sets are useful to represent the information given by several experts. However, this possibility usually require to deal with sets of values with different cardinality and the necessity to compare them, it is, not all experts evaluate all the elements in the universe. In this paper it is proposed a new nomenclature for Hesitant Fuzzy Sets called Hesitant Fuzzy Sets using Lists. It is proposed a new partial order relation between lists of membership degrees. This partial order relation allows to handle lists with different lengths. In addition, Hesitant Fuzzy Relations on Lists operations are defined and the T-transitive closure of a Hesitant Fuzzy Relation is given. It is proved this T-transitive closure always exists and it is unique. Finally, an algorithm to compute the T-transitive closure of a Hesitant Fuzzy Relation is proposed and several examples are given.
PB IEEE
SN 978-1-5090-6034-4
YR 2017
FD 2017
LK https://hdl.handle.net/20.500.14352/19469
UL https://hdl.handle.net/20.500.14352/19469
LA eng
NO Del Campo, R.G., Garmendia, L., Recasens, J., Montero, J.: Hesitant fuzzy sets and relations using lists. En: 2017 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). pp. 1-6. IEEE, Naples, Italy (2017)
NO Ministerio de Economía, Comercio y Empresa (España)
DS Docta Complutense
RD 19 abr 2025