dual-methods {kappalab} | R Documentation |
Computes the dual (also called the conjugate) of a set function. The dual of the dual of a game gives the original game back.
capacity
.card.capacity
.card.game
.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 dual dual(mu) ## and mu again dual(dual(mu)) ## a similar example with the upper capacity mu <- capacity(c(0,rep(1,15))) mu dual(mu) dual(dual(mu)) ## a similar example with an object of class card.capacity mu <- upper.capacity(6) mu dual(mu) dual(dual(mu)) ## the dual of a set function is a game mu <- set.func(-7:8) mu dual(mu) mu <- card.set.func(-2:5) dual(mu)