| veto-methods {kappalab} | R Documentation |
Veto indices
Description
Computes the veto indices of a Choquet integral from the
underlying normalized capacity. The capacity can be given either under the form
of an object of class capacity, card.capacity or Mobius.capacity.
Methods
- object = "Mobius.capacity"
The veto indices are computed from the Möbius transform of a capacity.
- object = "capacity"
The veto indices are computed directly from a capacity.
- object = "card.capacity"
The veto indices are computed from a cardinal capacity.
References
J.-L. Marichal (2000), Behavioral analysis of aggregation in multicriteria decision aid, in: Preferences and Decisions under Incomplete Knowledge, J. Fodor and B. De Baets and P. Perny Eds, Physica-Verlag, pages 153-178.
J.-L. Marichal (2004), Tolerant or intolerant character of interacting criteria in aggregation by the Choquet integral, European Journal of Operational Research 155:3, pages 771-791.
See Also
capacity-class,
Mobius.capacity-class,
card.capacity-class,
Mobius-methods.
Examples
## a capacity
mu <- capacity(c(0:13,13,13)/13)
## its Mobius transform
a <- Mobius(mu)
## their veto indices
veto(mu)
veto(a)
## the same with a card.capacity object
mu <- lower.capacity(4)
veto(mu)