Johan Schubert. Creating Prototypes for Fast Classification in Dempster-Shafer Clustering. In Dov M. Gabbay, Rudolf Kruse, Andreas Nonnengart, Hans Jürgen Ohlbach, editors, Qualitative and Quantitative Practical Reasoning, First International Joint Conference on Qualitative and Quantitative Practical Reasoning ECSQARU-FAPR 97, Bad Honnef, Germany, June 9-12, 1997, Proceedings. Volume 1244 of Lecture Notes in Computer Science, pages 525-535, Springer, 1997.
We develop a classification method for incoming pieces of evidence in Dempster-Shafer theory. This methodology is based on previous work with clustering and specification of originally nonspecific evidence. This methodology is here put in order for fast classification of future incoming pieces of evidence by comparing them with prototypes representing the clusters, instead of making a full clustering of all evidence. This method has a computational complexity of O(M N) for each new piece of evidence, where M is the maximum number of subsets and N is the number of prototypes chosen for each subset. That is, a computational complexity independent of the total number of previously arrived pieces of evidence. The parameters M and N are typically fixed and domain dependent in any application.