Compartir
Titel
Decomposition theorems and extension principles for hesitant fuzzy sets
Autor(es)
Schlagwort
Hesitant fuzzy set
Cut set
Decomposition theorem
Representation theorem
Extension principle
Clasificación UNESCO
5308 Economía General
Fecha de publicación
2018
Citación
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
Resumen
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.
URI
ISSN
1566-2535
DOI
10.1016/j.inffus.2017.08.005
Versión del editor
Aparece en las colecciones
- BORDA. Artículos [32]