The Shilkret integral with respect to a completely maxitive capacity is fully determined by possibility distribution. In this paper, we introduce weaker topological form of maxitivity and show that under assumption the still its distribution for functions are sufficiently regular. Motivated large deviations theory, provide Laplace principle integrals characterize certain separation convexity as...

We study the relation between possibility measures and the theory of imprecise probabilities. It is shown that a possibility measure is a coherent upper probability iff it is normal. We also prove that a possibility measure is the restriction to events of the natural extension of a special kind of upper probability, defined on a class of nested sets. Next, we go from upper probabilities to uppe...

A hierarchical family of integrals based on a fixed copula is introduced and discussed. The extremal members of this family correspond to the inner and outer extension of integrals of basic functions, the copula under consideration being the corresponding multiplication. The limits of the members of the family are just copulabased universal integrals as recently introduced in Klement et al. (IE...

We study the relation between possibility measures and the theory of imprecise probabilities, and argue that possibility measures have an important part in this theory. It is shown that a possibility measure is a coherent upper probability if and only if it is normal. A detailed comparison is given between the possibilistic and natural extension of an upper probability, both in the general case...

Sternutatio (sneeze) is a poorly understood polysynaptic physiologic reflex phenomenon; even less are some variations of the such as photic sneeze (photo-sternutatory reflex), sneezing induced by bright light, overeating, plucking eyebrows (palpebro-sternutatory reflex) and paroxysmal sneezing, episodes intractable sneezing. The present contribution reviews various aspects patho-physiology its ...

in this paper, we present an efficient method for determining the solution of the stochastic second kind volterra integral equations (svie) by using the taylor expansion method. this method transforms the svie to a linear stochastic ordinary differential equation which needs specified boundary conditions. for determining boundary conditions, we use the integration technique. this technique give...