There are two fuzzy sets whose elements are as follows

$T=\{-100,-50,0,50,100\},$ and $,F=\{8,16,25,33\}$

Suppose a Cartesian product between F and T is formed that results in the following relation

$R=\{\begin{array}{c}\text{:}[8]\\ 86\\ 25\\ 33\end{array}\left[\begin{array}{ccccc}-100& -50& 0& 50& 100\\ 0\mathrm{.}2& 0\mathrm{.}5& 0\mathrm{.}7& 1& 0\mathrm{.}9\\ 0\mathrm{.}3& 0\mathrm{.}5& 0\mathrm{.}7& 1& 0\mathrm{.}8\\ 0\mathrm{.}4& 0\mathrm{.}6& 0\mathrm{.}8& 0\mathrm{.}9& 0\mathrm{.}4\\ 0\mathrm{.}9& 1& 0\mathrm{.}8& 0\mathrm{.}6& 0\mathrm{.}4\end{array}\right]$

Another fuzzy set $M$ is like that

$M=\{1,2,4,8,16\}$

S is the Cartesian product between T and M

$S=-100-500050100\left[\begin{array}{ccccc}1& 2& 4& 8& 16\\ 1& 0\mathrm{.}8& 0\mathrm{.}6& 0\mathrm{.}3& 0\mathrm{.}1\\ 0\mathrm{.}7& 1& 0\mathrm{.}7& 0\mathrm{.}5& 0\mathrm{.}4\\ 0\mathrm{.}5& 0\mathrm{.}6& 1& 0\mathrm{.}8& 0\mathrm{.}8\\ 0\mathrm{.}3& 0\mathrm{.}4& 0\mathrm{.}6& 1& 0\mathrm{.}9\\ 0\mathrm{.}9& 0\mathrm{.}3& 0\mathrm{.}5& 0\mathrm{.}7& 1\end{array}\right]$

To find a relationship W between F and M $,$ use

a$.$ Max$-$min composition

b$.$ Max$-$product composition

a$.),W=$

$.),W=$

$($max$-$min$)$

$($max$-$prod$)$