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Querying a summary of database - APMD

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70 J Intell Inf Syst (2006) 26: 59–73query (see Section 4.1), may cause duplicate values to appear. When such values exist for aquery, they are grouped in a class as shown in the following table.Interpretation Relevant summaries Result (hardness){thin, moderated} z 5 s<strong>of</strong>t{thin, normal} z 7 s<strong>of</strong>t{medium, moderated} z 3 , z 6 s<strong>of</strong>t, hard{medium, normal} z 4 s<strong>of</strong>tAggregation <strong>of</strong> summaries inside a class (for instance, {medium, moderated}) is a union<strong>of</strong> descriptors: for each attribute A i <strong>of</strong> output set Y , the querying process supplies a set <strong>of</strong>descriptors. This set characterizes summaries that respond to the query through the samelogical interpretation (i.e., summaries that show the same labels for input attributes).As a response to a query, the process returns a list <strong>of</strong> classes along with a characterization<strong>of</strong> the class for each output attribute. The list is interpreted as follows: while searching for thinor medium-thickness and normal or moderated-temperature materials, it turned out that:– there exist thin moderated-temperature materials which are s<strong>of</strong>t;– there exist medium-thickness moderated-temperature materials which are either s<strong>of</strong>t orhard;– ...The use <strong>of</strong> classes has a few benefits: the results are expressed in an intensional way; one can easily identify which class accounts for an output label; it remains possible to provide a single list <strong>of</strong> output labels by performing a union <strong>of</strong> labelsfrom all classes.4.5. Experimental resultsFigure 4 shows a screenshot <strong>of</strong> the current implementation <strong>of</strong> the querying process. The dataset used for this specific screenshot describes the images <strong>of</strong> an image repository based ontheir color characteristics. For the expression <strong>of</strong> a query, Larsen (1999) idea that the queryFig. 4 Screenshot <strong>of</strong> the current implementationSpringer

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