Definition:Fuzzy Set
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Definition
Let $S$ be a set.
Let $\closedint 0 1$ denote the closed unit interval.
Let $\mu: S \to \closedint 0 1$ be a mapping.
Then $\struct {S, \mu}$ is a fuzzy set.
Domain
$S$ is the domain of $\struct {S, \mu}$.
Membership Function
$\mu$ is the membership function of $\struct {S, \mu}$.
Also see
- Results about fuzzy sets can be found here.
Sources
- 2000: Kenneth H. Rosen and John G. Michaels: Handbook of Discrete and Combinatorial Mathematics: $\S 1.7.2$