An open-frame theory of incomplete interval probabilities

We develop ct reference setting for uncertainty representation, i.e. incomp lete interval probabilities, which we: think may be useful not only at the formal but also at, the conceptual level. The universe we choose to work on is a finite set, which is thought of as open (incomplete, not fully observ able); a pre assumption we make is acceptance of Dempster rule without the normalization coefficient as an adequate tool for pooling opinions. We make use of three comparatively old ingredients: interval probabilities, open-f rame bodies of evidence and Renyi's incomplete probabilities. As for open-f rame bodies of evidence, we introduce a formal novelty, seemingly of little or no consequence, which instead leads us quite naturally to the unifying approach of incomplete interval probabilities. We tackle the problem of for cing incomplete states of knowledge into completeness, as required at the o perational stags of decision making.