fm.Choquet2addMob {Rfmtool}

Function for calculating Choquet integral value for 2-additive fuzzy measure in Mobius representation

Description

Calculates the Choquet integral value of a 2-additive fuzzy measure for n inputs given in Mobius representation.

Usage

  fm.Choquet2addMob(n, x, Mob)

Arguments

n

Number of inputs

x

Input vector of size n, containing utility value of input criteria. x is in [0,1].

Mob

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

Value

output

The output is the Choquet integral value in Mobius representation.

Author(s)

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

Examples

 
  Choquet <- fm.Choquet2addMob(3, c(0.2,0.5,0.4), c(0.2, 0.3, 0.5, -0.2, 0.4, 0.1))