orness-methods {kappalab} | R Documentation |
Computes the orness degree 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
.
The orness degree is computed from the Möbius transform of a capacity.
The orness degree is computed directly from a capacity.
The orness degree is computed from a cardinal capacity.
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, 2000.
capacity-class
,
Mobius.capacity-class
,
card.capacity-class
,
Mobius-methods
.
## the upper capacity mu <- capacity(c(0,rep(1,15))) ## the Choquet integral w.r.t mu behaves like the maximum operator f <- c(0.1,0.1,0,0.9) Choquet.integral(mu,f) ## its orness is 1 orness(mu) ## the same example with a Mobius.capacity object a <- Mobius(mu) Choquet.integral(a,f) orness(a) ## the same example with a card.capacity object mu <- upper.capacity(4) Choquet.integral(mu,f) orness(mu)