fm.Zeta: Zeta transform function

Description Usage Arguments Value Author(s) References Examples

Description

Calculates the general fuzzy measure from Mobius representation. The input and output is an array of size 2^n=m in binary ordering. This is the inverse of the Mobius function.

Usage

1
fm.Zeta(Mob,env)

Arguments

Mob

fuzzy measure value in Mobius representation.

env

Environment variable obtained from fm.Init(n).

Value

output

the output is the fuzzy measure in general representation.

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


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