fm.dualMobKadd {Rfmtool}

Function for calculating dual of k-additive fuzzy measure in Mobius representation

Description

Calculates the dual of a k-additive fuzzy measures for n inputs.

Usage

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

Arguments

Mob

Mobius fuzzy measure 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

Value of k-interactivity, which is used for reducing the complexity of fuzzy measures. It is defined as an optional argument

Value

output

The output is the dual of a k-additive fuzzy measures for n inputs

Author(s)

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

Examples

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