模糊数学Fuzzy Set第1讲——Classic Fuzzy Set: Theory and Applications

Classic Fuzzy Set: Theory and Applications

Uncertainty 不确定性

$$Uncertainty\{\begin{array}{ll}Random,& \text{非此即彼}\\ Fuzzy,& \text{亦此亦彼}\end{array}$$

Fuzzy Set

Classic Set

$设X为全集，A\subset X$. 对于$\forall x\in X$, 则有：
X A ( x ) = { 1 , x ∈ A 0 , x ∉ A X_A(x) =\begin{cases} 1, & \text {$x \in A$} \\ 0, & \text{$x\notin A$} \end{cases}