fm.ChoquetKinter {Rfmtool}

Choquet integral value computation function in standard representation wrt k-interactive fuzzy measure

Description

This is an alternative calculation of the Choquet integral from the fuzzy measure in Mobius representation.

Usage

fm.ChoquetKinter(x, v, kint, env)

Arguments

x

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

v

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

kint

the k-interactivity parameter, must be smaller than n.

env

Environment variable obtained from fm.Init(n).

Value

output

The ouput is a single value of the computed Choquet integral.

Author(s)

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

Examples

env<-fm.Init(3)
fm.ChoquetKinter(c(0.6,0.3,0.8),c(0,0.3,0.5,0.6,0.4,0.8,0.7,1),2,env)
env<-fm.Free(env)