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2009

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/48352

The induced generalized OWA operator

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Abstract

We present the induced generalized ordered weighted averaging (IGOWA) operator. It is a new aggregation operator that generalizes the OWA operator by using the main characteristics of two well known aggregation operators: the generalized OWA and the induced OWA operator. Then, this operator uses generalized means and order inducing variables in the reordering process. With this formulation, we get a wide range of aggregation operators that include all the particular cases of the IOWA and the GOWA operator, and a lot of other cases such as the induced ordered weighted geometric (IOWG) operator and the induced ordered weighted quadratic averaging (IOWQA) operator. We further generalize the IGOWA operator by using quasi-arithmetic means. The result is the Quasi-IOWA operator. Finally, we also develop a numerical example of the new approach in a financial decision making problem.

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http://doi.org/10.1016/j.ins.2008.11.013

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Presa de decisions, Teoria d'operadors

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Decision making, Operator theory

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MERIGÓ LINDAHL, José M. and GIL LAFUENTE, Anna Maria. The induced generalized OWA operator. Information Sciences. 2009. Vol. 179, num. 6, pags. 729-741. ISSN 0020-0255. [consulted: 6 of October of 2026]. Available at: https://hdl.handle.net/2445/48352

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