Construction of multidimensional models by operators of composition: current state of art

Abstract

 This is a survey paper summarizing some of the main results that have been achieved during the last years in connection with development of an alternative approach to multidimensional distribution description. This approach is based on special operators of composition. As this approach was developed in both probabilistic and possibilistic frameworks and most of previous papers [3, 4, 9, 10, 6, 5] dealt with one theoretical background only, this paper concentrates mainly on results holding for both of them. Naturally, the paper of rather limited extent cannot comprehend all the results achieved. The selection was made with the goal to include concepts most important (like e.g. concept of perfect sequences) as well as examples of auxiliary lemmata that being proven in both theoretical backgrounds constitute means for proving more advanced results independently of the theoretical framework.