Abstract

We discuss the maximum entropy approach to obtaining the weights associated with the ordered weighted averaging (OWA) aggregation operator. The resulting weights are called the MEOWA weights. Using the method of LaGrange multipliers, we obtain an analytic form for these weights and describe some of their properties. The concept of immediate probabilities is introduced as being a transformation of a probability distribution based on a decision maker's degree of optimism. This transformation, which is affected by an OWA operator, is shown to result in a relationship between the transformed expected value and the degree of optimism that is monotone when the weights used are the MEOWA weights.

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