International Series in Operations Research &Amp; Management Science
DOI: 10.1007/0-306-48107-3_5
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Interactive Nonlinear Multiobjective Procedures

Abstract: Keywords:An overview of the interactive methods for solving nonlinear multiple criteria decision making problems is given. In interactive methods, the decision maker progressively provides preference information so that the most satisfactory compromise can be found. The basic features of several methods are introduced and some theoretical results are provided. In addition, references to modifications and applications as well as to other methods are indicated.Multiple criteria decision making, Multiobjective op… Show more

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Cited by 9 publications
(5 citation statements)
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“…Métodos para resolver este problema pueden encontrarse en enfoques Interactivos Multiobjetivo (véase Miettinen, 2002y Steuer, 1986, que asumen que el deci-sor es capaz de proporcionar un feedback consistente sobre sus preferencias el cual se incluye de alguna manera en el proceso de resolución. Esta interacción puede guiar una búsqueda hacia las zonas más preferidas de la frontera de Pareto obtenida evitando explorar soluciones no interesantes.…”
Section: Objetivos Estructura Del Trabajo Y Fuentes Utilizadasunclassified
“…Métodos para resolver este problema pueden encontrarse en enfoques Interactivos Multiobjetivo (véase Miettinen, 2002y Steuer, 1986, que asumen que el deci-sor es capaz de proporcionar un feedback consistente sobre sus preferencias el cual se incluye de alguna manera en el proceso de resolución. Esta interacción puede guiar una búsqueda hacia las zonas más preferidas de la frontera de Pareto obtenida evitando explorar soluciones no interesantes.…”
Section: Objetivos Estructura Del Trabajo Y Fuentes Utilizadasunclassified
“…The single objective optimization problems were solved with the controlled random search algorithm of Price (1983) using 200 function evaluations and adaptive penalties (see e.g. Miettinen [2003] for the constraints).…”
Section: Post-decision Making Phasementioning
confidence: 99%
“…Second, to facilitate the evaluation of any remaining tradeoffs that, initially, are unknown or only partially revealed, we may replace the final selection step by an interactive method [12,20,23,29] which supports the decisions of the DM and enhances the ease of articulating preferences to reduce or more accurately identify a set of potential candidate solutions for the original problem. We deploy these benefits within the proposed decomposition framework by proposing a novel interactive decision-making procedure that coordinates additional tradeoff decisions within or between the different subproblems using a concept of approximate efficiency [22,25,39], which thereby enables the DM to work exclusively with the decomposed and smaller-sized subproblems to identify a preferred decision for the overall problem.…”
Section: Introductionmentioning
confidence: 99%