Random Sets

I. Image Modeling and Analysis.- Morphological analysis of random sets. An introduction.- Statistical problems for random sets.- On estimating granulometric discrete size distributions of random sets.- Logical granulometric filtering in the signal-union-clutter model.- On optimal filtering of morphologically smooth discrete random sets and related open problems.- II. Information/Data Fusion and Expert Systems.- On the maximum of conditional entropy for upper/lower probabilities generated by random sets.- Random sets in information fusion. An overview.- Cramér-Rao type bounds for random set problems.- Random sets in data fusion. Multi-object state-estimation as a foundation of data fusion theory.- Extension of relational and conditional event algebra to random sets with applications to data fusion.- Belief functions and random sets.- III. Theoretical Statistics and Expert Systems.- Uncertainty measures, realizations and entropies.- Random sets in decision-making.- Random sets unify, explain, and aid known uncertainty methods in expert systems.- Laws of large numbers for random sets.- Geometric structure of lower probabilities.- Some static and dynamic aspects of robust Bayesian theory.- List of Participants.

Hung T. Nguyen is a professor of Mathematical Sciences at New Mexico State University, USA.