@misc{10481/92520,
year = {2024},
month = {1},
url = {https://hdl.handle.net/10481/92520},
abstract = {Ordered Weighted Averaging (OWA) operators are some of the most widely used aggregation
functions in classic literature, but their application to fuzzy numbers has been limited due to the
complexity of defining a total order in fuzzy contexts. However, the recent notion of admissible
order for fuzzy numbers provides an effective method to totally order them by refining a given
partial order. Therefore, this paper is devoted to defining OWA operators for fuzzy numbers
with respect to admissible orders and investigating their properties. Firstly, we define the OWA
operators associated with such admissible orders and then we show their main properties.
Afterward, an example is presented to illustrate the applicability of these AOWA operators in
linguistic decision-making. In this regard, we also develop an admissible order for trapezoidal
fuzzy numbers that can be efficiently applied in practice.},
organization = {National Council for Scientific and Technological Development (CNPq-Brazil) within Projects
301618/2019-4, 312053/2018-5, 311429/2020-3, and 200282/2022-0},
organization = {Coordination for the Improvement of Higher Education
Personnel (CAPES-Brazil) within the project Capes-Print 88887.363001/2019-00},
organization = {FAPERGS/Brazil (Proc. 19/2551-0001660-3)},
organization = {PID2022-136627NB-I00 of the Spanish Government},
organization = {Ministerio de Ciencia e Innovación
by Project PID2020-119478 GB-I00},
organization = {Junta de Andalucía Program FEDER Andalucía 2014–2020, Project A-FQM-170-UGR20},
organization = {Spanish Ministry of Economy and Competitiveness through the Spanish National
Project PGC2018-099402-B-I00},
organization = {FEDER-UJA project 1380637},
organization = {Spanish Ministry of Science, Innovation and
Universities through a Formación de Profesorado Universitario grant (FPU2019/01203)},
publisher = {Elsevier},
keywords = {OWA operators},
keywords = {Fuzzy numbers},
keywords = {Admissible orders},
title = {Admissible OWA operators for fuzzy numbers},
doi = {10.1016/j.fss.2024.108863},
author = {García Zamora, Diego and Cruz, Anderson and Neres, Fernando and Santiago, Regivan H. N. and Roldán López de Hierro, Antonio Francisco and Paiva, Rui and Dimuro, Graçaliz. P. and Martínez López, Luis and Bedregal, Benjamín and Bustince, Humberto},
}