R Under development (unstable) (2023-11-06 r85483 ucrt) -- "Unsuffered Consequences" Copyright (C) 2023 The R Foundation for Statistical Computing Platform: x86_64-w64-mingw32/x64 R is free software and comes with ABSOLUTELY NO WARRANTY. You are welcome to redistribute it under certain conditions. Type 'license()' or 'licence()' for distribution details. R is a collaborative project with many contributors. Type 'contributors()' for more information and 'citation()' on how to cite R or R packages in publications. Type 'demo()' for some demos, 'help()' for on-line help, or 'help.start()' for an HTML browser interface to help. Type 'q()' to quit R. > library(kappalab) Loading required package: lpSolve Loading required package: quadprog Loading required package: kernlab > > ## a set function > mu <- set.func(c(0,1,1,1,2,2,2,3)) > mu set.func {} 0.000000 {1} 1.000000 {2} 1.000000 {3} 1.000000 {1,2} 2.000000 {1,3} 2.000000 {2,3} 2.000000 {1,2,3} 3.000000 > is.kadditive(mu,2) [1] FALSE > is.kadditive(mu,1) [1] TRUE > > ## the Mobius representation of a set function, 2-additive by construction > a <- Mobius.set.func(c(0,1,2,1,3,1,2,1,2,3,1),4,2) > is.kadditive(a,2) [1] TRUE > is.kadditive(a,1) [1] FALSE > > > > > proc.time() user system elapsed 0.50 0.07 0.56