A method of multiobjective decision making using a vector value function

A decision situation with partial information on preferences by means of a vector value function is assumed. The concept of minimum value dispersion solution as a reference point joined with a pseudodistance function from such a point and a dispersion level ε, lead to the notion of ε-dispersion set....

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Detalles Bibliográficos
Autores: Ríos Insúa, Sixto, González Pachón, Jacinto, Mateos, Alfonso
Tipo de recurso: artículo
Fecha de publicación:1994
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2099/4047
Acceso en línea:https://hdl.handle.net/2099/4047
Access Level:acceso abierto
Palabra clave:Mathematical programming
Operations research
Multiobjective decision making
Vector value function
Efficient set
Partial information on preferences
Programació (Matemàtica)
Investigació operativa
Classificació AMS::90 Operations research, mathematical programming::90B Operations research and management science
Classificació AMS::90 Operations research, mathematical programming::90C Mathematical programming
Descripción
Sumario:A decision situation with partial information on preferences by means of a vector value function is assumed. The concept of minimum value dispersion solution as a reference point joined with a pseudodistance function from such a point and a dispersion level ε, lead to the notion of ε-dispersion set. The dispersion level represents the amount of value that the decision maker can be indifferent to, therefore he should choose his most preferred solution in this set. Convergence properties, as well as an interactive method based on the reduction of ε-sets by means of parametric variation of ε, to aid decision making in discrete problems is considered. Detailed numerical examples are included.