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Symbolic discrimination rules. (English) Zbl 0976.62061
Bock, Hans-Hermann (ed.) et al., Analysis of symbolic data. Exploratory methods for extracting statistical information from complex data. Berlin: Springer. Studies in Classification, Data Analysis, and Knowledge Organization. 244-265 (2000).
A tree-growing algorithm is proposed in order to treat explicitly probabilistic data. A population of $$n$$ objects partitioned into $$m$$ classes is considered. Each object is formally described by symbolic data of probabilistic assertion type. The aim is: (i) to describe in the form of a binary tree the various classes of the given partition; (ii) to build a decision rule (discrimination or classification rule) which is able to classify new objects (with unknown class membership) to one class of the given partition. Non-probabilistic Boolean descriptions can also be handled in the proposed framework by transforming to modal variables with uniform probability functions.
For the entire collection see [Zbl 1039.62501].

##### MSC:
 62H30 Classification and discrimination; cluster analysis (statistical aspects) 62C99 Statistical decision theory 68P01 General topics in the theory of data
##### Keywords:
symbolic objects; decision rules; binary trees