fm.NonmodularityIndexMobkadditive {Rfmtool}

Function for calculating all Nonmodularity indices of k-additive in Mobius representation

Description

Calculate all the m = 2^n nonmodularity indices of k-additive in Mobius representation(in cardinality ordering)

Usage

  fm.NonmodularityIndexMobkadditive(Mob, env = NULL, kadd = "NA")

Arguments

Mob

Fuzzy measure in Mobius representation of size m=2^n. Its values can be provided by users, or by estimating from empirical data

env

Environment variable obtained from fm.Init(n).

kadd

kadd is the value of k-additivity, which is used for reducing the complexity of fuzzy measures. default value is kadd = n. 1 < kadd < n+1; if kdd=n - f.m. is unrestricted.

Value

output

The output is an array of size m.

Author(s)

Gleb Beliakov, Andrei Kelarev, Quan Vu, Daniela L. Calderon, Deakin University

Examples

 
  env<-fm.Init(3)
  fm.NonmodularityIndexMobkadditive(c(0.0,0.3,0.5,-0.2,0.4,0.1,-0.2,0.1),env,2)