distancePermutationInterchange: Interchange Distance for Permutations
Description
The interchange distance is an edit-distance, counting how many edit operation (here: interchanges, i.e., transposition of two arbitrary elements) have to be
performed to transform permutation x into permutation y.
Usage
distancePermutationInterchange(x, y)
Value
numeric distance value $$d(x,y)$$, scaled to values between 0 and 1 (based on the maximum possible distance between two permutations)
Arguments
x
first permutation (integer vector)
y
second permutation (integer vector)
References
Schiavinotto, Tommaso, and Thomas Stuetzle. "A review of metrics on permutations for search landscape analysis." Computers & operations research 34.10 (2007): 3143-3153.
x <- 1:5y <- c(1,4,3,2,5)
distancePermutationInterchange(x,y)
p <- replicate(10,sample(1:5),simplify=FALSE)
distanceMatrix(p,distancePermutationInterchange)