Enum TNormKind 

pub enum TNormKind {
    Minimum,
    Product,
    Lukasiewicz,
    Drastic,
    NilpotentMinimum,
    Hamacher,
}

T-norm (triangular norm) kinds for fuzzy AND operations. A t-norm is a binary operation T: [0,1] × [0,1] → [0,1] that is:

• Commutative: T(a,b) = T(b,a)
• Associative: T(a,T(b,c)) = T(T(a,b),c)
• Monotonic: If a ≤ b then T(a,c) ≤ T(b,c)
• Has 1 as identity: T(a,1) = a

Variants

Minimum

Minimum t-norm (Gödel): T(a,b) = min(a,b) Standard fuzzy AND, also known as Zadeh t-norm

Product

Product t-norm: T(a,b) = a * b Probabilistic interpretation of independence

Lukasiewicz

Łukasiewicz t-norm: T(a,b) = max(0, a + b - 1) Strong conjunction in Łukasiewicz logic

Drastic

Drastic t-norm: T(a,b) = { b if a=1, a if b=1, 0 otherwise } Most restrictive t-norm

NilpotentMinimum

Nilpotent minimum: T(a,b) = { min(a,b) if a+b>1, 0 otherwise }

Hamacher

Hamacher product: T(a,b) = ab/(a+b-ab) for a,b > 0 Generalizes product t-norm

Trait Implementations

impl Clone for TNormKind

fn clone(&self) -> TNormKind

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Copy for TNormKind

impl Debug for TNormKind

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl<'de> Deserialize<'de> for TNormKind

fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>

where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl Eq for TNormKind

impl PartialEq for TNormKind

fn eq(&self, other: &TNormKind) -> bool

Tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl Serialize for TNormKind

fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>

where __S: Serializer,

Serialize this value into the given Serde serializer.

impl StructuralPartialEq for TNormKind