When merging belief functions, Dempster rule of combination is justified only when sources can be considered as independent. When dependencies are ill-known, it is usual to ask the merging operation to satisfy the property of idempotence, as this property ensures a cautious behaviour in the face of dependent sources. There are different strategies to find such rules for belief functions. One st...

We overview the existing conditional independence concepts from the viewpoint of their relation to possibility theory. We will show that a suitable notion — from this perspective — seems to be strong independence in the wider framework of credal sets.

Possibility is considered as a promising mathematical tool to represent that particular case of incomplete information given by a measurement result. A measurement result can be affected by systematic and random effects. The combination of random contributions in the possibility theory returns only approximated results, and it is important to identify an optimal combination method to obtain acc...

Predictive accuracy is the sum of two kinds of uncertainty–natural variability and modeling uncertainty. This paper addresses the quantification of predictive accuracy of complex simulation models from two perspectives. First, it recognizes that there is a difference between variability and modeling uncertainty; the former can not be reduced with more test information, while the latter can. We ...

Real options modeling, which extends the ability of option pricing models to evaluate real assets, can be used to evaluate risky projects because of its capacity to handle uncertainties. This research utilizes possibility theory to represent private risks of a project, which are not reflected in the market and hence are not fully evaluated by standard option pricing models. Using a transformati...

| The introduction of a notion of independence in possibility theory is a problem of long-standing interest. The deenitions that have up to now been given in the literature face some diiculties as far as interpretation is concerned. Also, there are inconsistencies between the deenition of independence of measurable sets and possibilistic variables. After a discussion of these deenitions and the...

I I I I We introduce the operation of possibility qualification and show how I this modal-like operator can be used to represent "typical" or default knowledge in a theory of nonmonotonic reasoning. We investigate the representational power of this ·approach I by· looking at a number of prototypical problems from the nonmonotoni� reasoning literature. particular we look at the so called Yale sh...

The introduction of the notion of independence in possibility theory is a problem of long-standing interest. Many of the measure-theoretic definitions that have up to now been given in the literature face some difficulties as far as interpretation is concerned. Also, there are inconsistencies between the definition of independence of measurable sets and possibilistic variables. After a discussi...

P(Z) logic offers a new way to reason about vagueness (ie fuzziness), that treats fuzziness as degrees, distinct from probabilities. One then applies probability distributions over fuzziness. This approach is different from both classical fuzzy logic [26] and possibility theory [1]. P(Z) logic is specially designed for common-sense reasoning.