fm.OrnessChoquetMob {Rfmtool}

OrnessChoquet function in Mobius representation

Description

Calculate Orness value of the Choquet integral of the fuzzy measure, where Mob is the Mobius representation.

Usage

fm.OrnessChoquetMob(Mob,env=NULL)

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).

Value

output

The output is the Orness the Choquet integral for the fuzzy measure.

Author(s)

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

Examples

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