I have $n$ functions $f_i(x) \{i = 1 ,...,n\} $that does not preserve the monotonic mapping order.
i.e. if $x_1 < x_2$, then in general, $f_i(x_1)$ is not less than $f_i(x_2)$ (for all $i = 1 ... n$)
Can I construct a function $g$ mapping on $f_i$'s such that $g(f_1, f_2, ... f_n)$ is monotonic?
If yes, please elaborate on the method for the same.
Even if $g$ is a unimodal function, it should be fine.