Reduction of Knowledge Structures

Description

Computes the reduction of knowledge structures.

Usage

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  ## S3 method for class 'kstructure'
reduction(x, operation=c("discrimination", "union", "intersection"),...)

Arguments

x

An R object of class kstructure.

operation

The set operation under which the reduction is computed.

...

Other arguments to be passed to methods.

Details

reduction performs the reduction of a knowledge structure by computing the minimal subset having the same closure as the knowledge structure. Additionally, it allows for computing the discriminative reduction of a knowledge structure. Such a discriminative reduction is a knowledge structure in which each notion contains a single item.

Value

An R object of the same class as x where each subset represents one knowledge state of the resulting reduction.

References

Doignon, J.-P., Falmagne, J.-C. (1999) Knowledge Spaces. Heidelberg: Springer Verlag.

See Also

kstructure, knotions, reduction

Examples

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kst <- kstructure(set(set("a"), set("a","b"), set("a","c"), set("d","e"), 
   set("a","b","d","e"), set("a","c","d","e"), set("a","b","c","d","e")))
reduction(kst, operation="discrimination")