Selection from a fuzzy signature database by Mamdani-algorithm

There are many complex, well structured problems, where a hierarchical structure within the data is present. This means, that one or several components of the structure are determined at a higher level by a sub-tree of other components. The concept of fuzzy signatures was introduced to help model these kinds of problems. The data set belonging to a problem has an arbitrary structure, but due to some missing components, the structures of the data may slightly differ. So that these data can be evaluated, aggregation operators are given for each node in the arbitrary structure for the purpose of modifying the structure. To deduce a conclusion for an observation from a data set having the structure mentioned above, fuzzy signature based rule bases and the generalisation of Mamdani-type inference were introduced. In this paper the formerly introduced idea of Mamdani-type inference in fuzzy signature based rule bases will be used for selecting records from an available data base which maximally match the requirements specified in a pattern. Finally a possible application on a realistic example with missing data components will be shown.