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The term classification (diagnostics) is given to the solution procedure for problems with the following properties:
1. The domain consists of two finite, disjunctive sets - one containing observations
and the other problem solutions - and of typically uncertain, complex
knowledge about the relationships between these two sets.
2. A problem is defined by a given subset of observations, which may be incomplete.
3. The result of the classification is the selection of one or more solutions to
the problem.
4. If the quality of the solution can be improved by considering additional observations, one of the tasks of classification is to determine which additional observations are to be requested.
Figure 13.1 illustrates the basic principle of classification. The derivation of the solutions from the observations usually takes place via some intermediate steps, the "intermediate diagnostic structure." In this introductory chapter, starting from the great variety of domains, an attempt is made to achieve a classification of problem-solving methods via problem types and requirements for problem-solving methods.