Interchange Distance for Permutations
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.
distancePermutationInterchange(x, y)
x |
first permutation (integer vector) |
y |
second permutation (integer vector) |
numeric distance value
d(x,y)
, scaled to values between 0 and 1 (based on the maximum possible distance between two permutations)
Schiavinotto, Tommaso, and Thomas Stuetzle. "A review of metrics on permutations for search landscape analysis." Computers & operations research 34.10 (2007): 3143-3153.
x <- 1:5 y <- c(1,4,3,2,5) distancePermutationInterchange(x,y) p <- replicate(10,sample(1:5),simplify=FALSE) distanceMatrix(p,distancePermutationInterchange)
Please choose more modern alternatives, such as Google Chrome or Mozilla Firefox.