On the dimension of fuzzy preference relations

The concept of Dimension plays a key role in the context of crisp (classical) preference modelling. Dimension analysis allows a better insight of structure of individual preferences, giving a hint about the complexity of the preference modelling problem. Several attempts can be found in the literatu...

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Detalhes bibliográficos
Autores: Montero De Juan, Francisco Javier, Yáñez Gestoso, Francisco Javier, Cutello, Vincenzo
Tipo de documento: capítulo de livro
Data de publicação:1998
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositório:Docta Complutense
Idioma:inglês
OAI Identifier:oai:docta.ucm.es:20.500.14352/60925
Acesso em linha:https://hdl.handle.net/20.500.14352/60925
Access Level:Acceso aberto
Palavra-chave:004.8
Fuzzy Preference Relation
Fuzzy Binary Relation.
Inteligencia artificial (Informática)
1203.04 Inteligencia Artificial
Descrição
Resumo:The concept of Dimension plays a key role in the context of crisp (classical) preference modelling. Dimension analysis allows a better insight of structure of individual preferences, giving a hint about the complexity of the preference modelling problem. Several attempts can be found in the literature in order to translate such a concept and its associated procedures into fuzzy preference models. In this paper, we shallrst of all discuss some of these approaches, showing that no more extra knowledge about the problem is sometimes attained, mainly due to some a priori introduced restrictions. Then we shall propose an alternative approach based upon the analysis of all associated crisp ®-cuts. Some consequences in related fuzzy preference modelling problems are also discussed.