The study of random geometrical objects goes back to the famous Buffon needle problem.
Similar to the ideas of Geometric Probability, which can be traced back to the very origins of …

A random set is a multivalued measurable function defined on a probability space. If this
multivalued function depends on the second argument (eg, time or space), then random …

In earlier papers we changed the concept of the inner product to a more general one, to the
so-called Minkowski product. This product changes on the tangent space hence we could …

The space 𝔽 F of closed sets (and also the space 𝕂 K of compact sets) is non-linear, so that
conventional concepts of expectations in linear spaces are not directly applicable for …

As the name suggests, a random set is an object with values being sets, so that the
corresponding record space is the space of subsets of a given carrier space. At this stage, a …

The probabilistic algorithms are widely applied in designing computational applications
such as distributed systems and probabilistic databases, to determine distributed consensus …

The probabilistic databases contain large datasets embedded with noise and uncertainties
in data association rules and queries. The data identification and interpretation in …

The probabilistic databases contain large datasets embedded with noise and uncertainties
in data association rules and queries. The data identification and interpretation in …

Minkowski addition is a natural operation for sets in linear spaces. If M and L are two subsets
of a linear space E, their Minkowski (or elementwise) sum is defined as M+ L= x+ y: x∈ M …

We give the basic formulas of special relativity in a time-space defined by an earlier paper of
the author. We also give the concept of time-space manifold especially the concept of …