dc.contributor.author | Alcantud, José Carlos R. | |
dc.contributor.author | Torra, Vicenç | |
dc.date.accessioned | 2024-01-12T15:11:56Z | |
dc.date.available | 2024-01-12T15:11:56Z | |
dc.date.issued | 2018 | |
dc.identifier.citation | Alcantud, J. C. R., y Torra, V (2018). Decomposition theorems and extension principles for hesitant fuzzy sets. Information Fusion, 41, 48-56. https://doi.org/10.1016/j.inffus.2017.08.005 | es_ES |
dc.identifier.issn | 1566-2535 | |
dc.identifier.uri | http://hdl.handle.net/10366/154190 | |
dc.description.abstract | We prove a decomposition theorem for hesitant fuzzy sets, which states that every typical hesitant fuzzy
set on a set can be represented by a well-structured family of fuzzy sets on that set. This decomposition
is expressed by the novel concept of hesitant fuzzy set associated with a family of hesitant fuzzy sets,
in terms of newly defined families of their cuts. Our result supposes the first representation theorem
of hesitant fuzzy sets in the literature. Other related representation results are proven. We also define
two novel extension principles that extend crisp functions to functions that map hesitant fuzzy sets into
hesitant fuzzy sets. | es_ES |
dc.language.iso | eng | es_ES |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Unported | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/ | * |
dc.subject | Hesitant fuzzy set | es_ES |
dc.subject | Cut set | es_ES |
dc.subject | Decomposition theorem | es_ES |
dc.subject | Representation theorem | es_ES |
dc.subject | Extension principle | es_ES |
dc.title | Decomposition theorems and extension principles for hesitant fuzzy sets | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.relation.publishversion | https://www.sciencedirect.com/science/article/pii/S1566253517301537 | es_ES |
dc.subject.unesco | 5308 Economía General | es_ES |
dc.identifier.doi | 10.1016/j.inffus.2017.08.005 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |
dc.journal.title | Information Fusion | es_ES |
dc.volume.number | 41 | es_ES |
dc.page.initial | 48 | es_ES |
dc.page.final | 56 | es_ES |
dc.type.hasVersion | info:eu-repo/semantics/submittedVersion | es_ES |