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Ordering Ordinal Probability Distributions

Ronald R. Yager. Iona College


We consider the problem of ordering probability distributions which take the values in a set having only an ordering. Using the cumulative distribution function we are able to introduce some fundamental proper-ties required of such procedures. We then consider ordering procedures that are based on the mapping of a probability distribution into a single value. Finally we consider an ordering procedure that involves a pairwise comparison of the probability distributions.

Keywords: Decision Making, Uncertainty, Ordinal Information, Decision Attitude

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