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Abstract
Troiano and Díaz presented the analytic solution to the iterative ordered weights averaging (ItOWA) operator weights. Their findings validate Dujmović and Larsen’s conjecture and profoundly contribute to the ItOWA operator due to the closed formula derived. This paper attempts to present another way of deriving the ItOWA operator weights based on other theories. Further, as iterative OWA performs repeated computations for a higher dimension, the orness of the resulting ItOWA operator weights is different from the one initially used in aggregating two input arguments. To resolve this unwanted situation, we suggest some weighting functions that generate the OWA operator weights having a property of constant orness irrespective of the number of input arguments.
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