Orness measurements for lattice m-dimensional interval-valued OWA operators
Fecha
2018Autor
Versión
Acceso abierto / Sarbide irekia
Tipo
Artículo / Artikulua
Versión
Versión aceptada / Onetsi den bertsioa
Identificador del proyecto
ES/1PE/TIN2016-77356
Impacto
|
10.1016/j.amc.2018.07.013
Resumen
Ordered weighted average (OWA) operators are commonly used to aggregate
information in multiple situations, such as decision making problems or image
processing tasks.
The great variety of weights that can be chosen to determinate an OWA
operator provides a broad family of aggegating functions, which obviously
give diferent results in the aggregation of the same set of data.
In this paper, ...
[++]
Ordered weighted average (OWA) operators are commonly used to aggregate
information in multiple situations, such as decision making problems or image
processing tasks.
The great variety of weights that can be chosen to determinate an OWA
operator provides a broad family of aggegating functions, which obviously
give diferent results in the aggregation of the same set of data.
In this paper, some possible classifications of OWA operators are suggested
when they are de ned on m-dimensional intervals taking values on a
complete lattice satisfying certain local conditions. A first classification is
obtained by means of a quantitative orness measure that gives the proximity
of each OWA to the OR operator. In the case in which the lattice is finite, another
classification is obtained by means of a qualitative orness measure. In
the present paper, several theoretical results are obtained in order to perform
this qualitative value for each OWA operator. [--]
Materias
OWA operator,
Lattice-valued fuzzy sets,
Interval-valued fuzzy sets,
Orness,
T-norm,
T-conorm
Editor
Elsevier
Publicado en
Applied Mathematics and Computation, volume 339, 15 december 2018, pages 63-80
Departamento
Nafarroako Unibertsitate Publikoa. Estatistika, Informatika eta Matematika Saila /
Universidad Pública de Navarra/Nafarroako Unibertsitate Publikoa. Institute for Advanced Materials and Mathematics - INAMAT2 /
Universidad Pública de Navarra/Nafarroako Unibertsitate Publikoa. Institute of Smart Cities - ISC /
Universidad Pública de Navarra. Departamento de Estadística, Informática y Matemáticas
Versión del editor
Entidades Financiadoras
This work has been partially supported by MINECO, AEI/FEDER, UE under project TIN2016-77356-P.