In many real-life situations, we only have partial information about the actual probability distribution. For example, under Dempster-Shafer uncertainty, we only know the masses m1, . . . , mn assigned to different sets S1, . . . , Sn, but we do not know the distribution within each set Si. Because of this uncertainty, there are many possible probability distributions consistent with our knowle...

We study equilibrium liquid crystal configurations in three-dimensional domains, within the continuum Landau-De Gennes theory. We obtain explicit bounds for the equilibrium scalar order parameters in terms of the temperature and material-dependent constants. We explicitly quantify the temperature regimes where the Landau-De Gennes predictions match and the temperature regimes where the Landau-D...

To enforce security without user enrollment, trust (or reputation) systems were proposed to use experience as crucial information to support cooperation as well as for security enforcement mechanisms. However, use of trust introduces very difficult problems that still discourage from exploitation of trust for security mechanisms. The ability to change trust quickly and react effectively to chan...

Dempster-Shafer theory offers an alternative to traditional probabilistic theory for the mathematical representation of uncertainty. The significant innovation of this framework is that it allows for the allocation of a probability mass to sets or intervals. DempsterShafer theory does not require an assumption regarding the probability of the individual constituents of the set or interval. This...

In many real-life situations, we only have partial information about the actual probability distribution. For example, under Dempster-Shafer uncertainty, we only know the masses m1, . . . , mn assigned to different sets S1, . . . , Sn, but we do not know the distribution within each set Si. Because of this uncertainty, there are many possible probability distributions consistent with our knowle...

This special issue aims to make people aware and up to date of the innovative research in the area of emerging techniques and methods in security of information and network. The majority of organizations in the commercial and government sectors are relying completely on their computer and network systems. Extensive attacks can cause heavy loss in a few seconds. Therefore, securing their compute...

The combination of evidence in Dempster-Shafer theory is compared with the combination of evidence in probabilistic logic. Sufficient conditions are stated for these two methods to agree. It is then shown that these conditions are minimal in the sense that disagreement can occur when any one of them is removed. An example is given in which the traditional assumption of conditional independence ...

In this note, we argue that the axiomatic requirement of range to the measure of aggregated total uncertainty (ATU) in Dempster-Shafer theory is not reasonable.