Consistency of crisp and fuzzy preference relations

In this paper we point out some difficulties in developing rationality measures of fuzzy preference relations, as defined by Cutello and Montero in a previous paper. In particular, we analyze some alternative approaches, taking into account that consistency can not be viewed as an univoque concept i...

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Detalhes bibliográficos
Autores: García Lapestra, J. L., Montero De Juan, Francisco Javier
Tipo de documento: capítulo de livro
Data de publicação:2004
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositório:Docta Complutense
Idioma:inglês
OAI Identifier:oai:docta.ucm.es:20.500.14352/53436
Acesso em linha:https://hdl.handle.net/20.500.14352/53436
Access Level:Acceso aberto
Palavra-chave:510.64
Fuzzy Preferences
Rationality Measures
Decision Making
Lógica simbólica y matemática (Matemáticas)
1102.14 Lógica Simbólica
Descrição
Resumo:In this paper we point out some difficulties in developing rationality measures of fuzzy preference relations, as defined by Cutello and Montero in a previous paper. In particular, we analyze some alternative approaches, taking into account that consistency can not be viewed as an univoque concept in a fuzzy framework, neither in the crisp context, where consistency should not be necessarily represented in terms of linear orders.