Modelling Vagueness

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Media Analytics theory says that among variables, whose values should intuitively be mutually exclusive, only those shall be used for which this intuition can be rigidified by means of criteria that for each case let only one value be correct. In practice, this is not feasible everywhere, so that in some cases arguably more than one value is correct. The implications of this for building a correct descriptive model are everything but straightforward. I will discuss pros and cons of several options, among them collapsing vagueness and introducing further probability metrics.