| Sipos.integral-methods {kappalab} | R Documentation |
Computes the Sipos integral (also called symmetric Choquet
integral) of a real-valued function with respect to a game. The game can be
given either under the form of an object of class game,
card.game or Mobius.game.
f
is computed from a game.f is computed from the Möbius transform of a game.f is computed from a cardinal game.
M. Grabisch and Ch. Labreuche (2002), The symmetric and asymmetric Choquet integrals on finite spaces for decision making, Statistical Papers 43, pages 37-52.
game-class,
Mobius.game-class,
card.game-class.
## a normalized capacity mu <- capacity(c(0:13/13,1,1)) ## and its Möbius transform a <- Mobius(mu) ## a discrete function f f <- c(0.1,-0.9,-0.3,0.8) ## the Sugeno integral of f w.r.t mu Sipos.integral(mu,f) Sipos.integral(a,f) ## a similar example with a cardinal capacity mu <- uniform.capacity(4) Sipos.integral(mu,f)