lex2bin {TUGLab} | R Documentation |
Lexicographic order to binary order
Description
Given a characteristic function in lexicographic order, this function returns the characteristic function in binary order.
Usage
lex2bin(v)
Arguments
v |
A characteristic function, as a vector in lexicographic order. |
Details
Lexicographic order arranges coalitions in ascending order according to size, and applies lexicographic order to break ties among coalitions of the same size. The binary order position of a coalition S\in 2^N
is given by \sum_{i\in S} 2^{i-1}
.
Value
The characteristic function, as a vector in binary order.
See Also
bin2lex, codebin2lex, codelex2bin
Examples
v <- seq(1:31)
lex2bin(v)
bin2lex(lex2bin(v))==v
[Package TUGLab version 0.0.1 Index]