\begin{definition}[Definition:Fuzzy Set]
Let $S$ be a set.
Let $\left [{0 \,.\,.\, 1}\right]$ denotes the closed unit interval.
Let $\mu: S \to \left [{0 \,.\,.\, 1}\right]$ be a mapping.
Then $\left({S, \mu}\right)$ is a '''fuzzy set'''.
\end{definition}