On Admissible Orders on the Set of Discrete Fuzzy Numbers for Application in Decision Making Problems

The study of orders is a constantly evolving topic, not only for its interest from a theoretical point of view, but also for its possible applications. Recently, one of the hot lines of research has been the construction of admissible orders in different frameworks. Following this direction, this pa...

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Detalhes bibliográficos
Autores: Riera, Juan Vicente, Massanet, Sebastia, Bustince, Humberto, Fernandez, Javier
Formato: artículo
Fecha de publicación:2021
País:España
Recursos:Conselleria de Salut i Consum del Govern de les Illes Balears
Repositorio:Docusalut
Idioma:inglés
OAI Identifier:oai:docusalut.com:20.500.13003/11331
Acesso em linha:https://hdl.handle.net/20.500.13003/11331
Access Level:acceso abierto
Palavra-chave:discrete fuzzy number
total order
admissible orders
ranking discrete fuzzy numbers
Descrição
Resumo:The study of orders is a constantly evolving topic, not only for its interest from a theoretical point of view, but also for its possible applications. Recently, one of the hot lines of research has been the construction of admissible orders in different frameworks. Following this direction, this paper presents a new representation theorem in the field of discrete fuzzy numbers that enables the construction of two families of admissible orders in the set of discrete fuzzy numbers whose support is a closed interval of a finite chain, leading to the first admissible orders introduced in this framework.