conjugate-methods {kappalab} | R Documentation |
Computes the conjugate (also called the dual) of a set function. The conjugate of the conjugate of a game gives the original game back.
Returns an object of class capacity
.
Returns an object of class card.capacity
.
Returns an object of class card.game
.
Returns an object of class game
.
T. Murofushi and M. Sugeno (2000), Fuzzy measures and fuzzy integrals, in: M. Grabisch, T. Murofushi, and M. Sugeno Eds, Fuzzy Measures and Integrals: Theory and Applications, Physica-Verlag, pages 3-41.
capacity-class
,
card.capacity-class
,
set.func-class
,
card.set.func-class
.
## a game mu <- game(c(0,-7:7)) mu ## its conjugate conjugate(mu) ## and mu again conjugate(conjugate(mu)) ## a similar example with the upper capacity mu <- capacity(c(0,rep(1,15))) mu conjugate(mu) conjugate(conjugate(mu)) ## a similar example with an object of class card.capacity mu <- upper.capacity(6) mu conjugate(mu) conjugate(conjugate(mu)) ## the conjugate of a set function is a game mu <- set.func(-7:8) mu conjugate(mu) mu <- card.set.func(-2:5) conjugate(mu)