The induced generalized hybrid averaging operator and its application in financial decision making
- Autores: José María Merigó Lindahl, Montserrat Casanovas Ramón
- Localización: Estableciendo puentes en una economía global / coord. por Julio Pindado García, Gregory Payne, Vol. 1, 2008 (Ponencias), ISBN 978-84-7356-556-1, pág. 57
- Idioma: inglés
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Resumen
We present the induced generalized hybrid averaging (IGHA) operator. It is a new aggregation operator that generalizes the hybrid averaging (HA) by using generalized means and order inducing variables. With this formulation, we get a wide range of mean operators such as the induced HA (IHA), the induced hybrid geometric averaging (IHGA), the induced hybrid quadratic averaging (IHQA), the HA, etc. The ordered weighted averaging (OWA) operator and the weighted average (WA) are included as special cases of the HA operator. Therefore, with this generalization we can obtain a wide range of WA, WA operators and induced OWA (IOWA) operators such as the induced generalized OWA (IGOWA), the generalized OWA (GOWA), etc. We further generalize the IGHA operator by using quasi-arithmetic means. Then, we get the Quasi-IHA operator. Finally, we also develop an illustrative example of the new approach in a financial decision making problem.
