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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/43653
Decision-making with distance measures and induced aggregation operators
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[spa] Se presenta un nuevo modelo para la toma de decisiones basado en el uso de medidas de distancia y de operadores de agregación inducidos. Se introduce la distancia media ponderada ordenada inducida (IOWAD). Es un nuevo operador de agregación que extiende el operador OWA a través del uso de distancias y un proceso de reordenación de los argumentos basado en variables de ordenación inducidas. La principal ventaja el operador IOWAD es la posibilidad de utilizar una familia parametrizada de operadores de agregación entre la distancia individual máxima y la mínima. Se estudian algunas de sus principales propiedades y algunos casos particulares. Se desarrolla un ejemplo numérico en un problema de toma de decisiones sobre selección de inversiones. Se observa que la principal ventaja de este modelo en la toma de decisiones es la posibilidad de mostrar una visión más completa del proceso, de forma que el decisor está capacitado para seleccionar la alternativa que está más cerca de sus intereses.
[eng] We present a new decision-making approach that uses distance measures and induced aggregation operators. We introduce the induced ordered weighted averaging distance (IOWAD) operator, a new aggregation operator that extends the OWA operator by using distance measures and a reordering of the arguments that depends on order-inducing variables. The main advantage of the IOWAD is that it provides a parameterized family of distance aggregation operators between the maximum and the minimum distance based on a complex reordering process that reflects a complex attitudinal character of the decision-maker. We study some of its main properties and particular cases. We develop an application in a decision-making problem regarding the selection of investments. We see that the main advantage of this approach in decision-making is that it is able to provide a more complete picture of the decision process, so the decision-maker is able to select the alternative most in accordance with his interests.
[eng] We present a new decision-making approach that uses distance measures and induced aggregation operators. We introduce the induced ordered weighted averaging distance (IOWAD) operator, a new aggregation operator that extends the OWA operator by using distance measures and a reordering of the arguments that depends on order-inducing variables. The main advantage of the IOWAD is that it provides a parameterized family of distance aggregation operators between the maximum and the minimum distance based on a complex reordering process that reflects a complex attitudinal character of the decision-maker. We study some of its main properties and particular cases. We develop an application in a decision-making problem regarding the selection of investments. We see that the main advantage of this approach in decision-making is that it is able to provide a more complete picture of the decision process, so the decision-maker is able to select the alternative most in accordance with his interests.
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MERIGÓ LINDAHL, José M. and CASANOVAS RAMÓN, Montserrat. Decision-making with distance measures and induced aggregation operators. Documents de treball (Facultat d'Economia i Empresa. Espai de Recerca en Economia). 2009. Vol. E09/231. ISSN 1136-8365. [consulted: 12 of June of 2026]. Available at: https://hdl.handle.net/2445/43653