fm.ChoquetKinter: Choquet integral value computation function in standard...

In Rfmtool: Fuzzy Measure Tools

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)

Rfmtool documentation built on Feb. 16, 2023, 9:21 p.m.