dualm function

Description

Calculates the dual of fuzzy measure v, returns it as value of the function (array of size m).

Usage

1
fm.dualm(v, env=NULL)

Arguments

v

the general fuzzy measure of size m=2^n. Its values can be provided by users, or by estimating from emperical data.

env

Environment variable obtained from fm.Init(n).

Value

output

The ouput is an array of size m with the dual of fuzzy measure v.

Author(s)

Gleb Beliakov, Andrei Kelarev, Quan Vu, Deakin University

References

[1] http://www.deakin.edu.au/~gleb/fmtools.html [2] H.Q. Vu, G. Beliakov, G. Li, 2014, A choquet integral toolbox and its application in customer preference analysis, in Data mining applications with R, Elsevier Inc., Waltham, MA., pp.247-272.

Examples

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

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