Документация Engee

Membership functions

Страница в процессе перевода.

DifferenceSigmoid membership function

# FuzzyLogic.DifferenceSigmoidMF — Type

struct DifferenceSigmoidMF{T<:Real} <: FuzzyLogic.AbstractMembershipFunction

Difference of two sigmoids. See also SigmoidMF.

Fields

  • a1::Real: slope of the first sigmoid.

  • c1::Real: center of the first sigmoid.

  • a2::Real: slope of the second sigmoid.

  • c2::Real: center of the second sigmoid.

Example

mf = DifferenceSigmoidMF(5, 2, 5, 7)

Gaussian membership function

# FuzzyLogic.GaussianMF — Type

struct GaussianMF{T<:Real} <: FuzzyLogic.AbstractMembershipFunction

Gaussian membership function ²² .

Fields

  • mu::Real: mean .

  • sig::Real: standard deviation .

Example

mf = GaussianMF(5.0, 1.5)

GeneralizedBell membership function

# FuzzyLogic.GeneralizedBellMF — Type

struct GeneralizedBellMF{T<:Real, S<:Real} <: FuzzyLogic.AbstractMembershipFunction

Generalized Bell membership function .

Fields

  • a::Real: Width of the curve, the bigger the wider.

  • b::Real: Slope of the curve, the bigger the steeper.

  • c::Real: Center of the curve.

Example

mf = GeneralizedBellMF(2, 4, 5)

Linear membership function

# FuzzyLogic.LinearMF — Type

struct LinearMF{T<:Real} <: FuzzyLogic.AbstractMembershipFunction

Linear membership function. If , it is increasing (S-shaped), otherwise it is decreasing (Z-shaped).

Fields

  • a::Real: foot.

  • b::Real: shoulder.

Example

mf = LinearMF(2, 8)

PiShape membership function

# FuzzyLogic.PiShapeMF — Type

struct PiShapeMF{T<:Real} <: FuzzyLogic.AbstractMembershipFunction

Π-shaped membership function.

Fields

  • a::Real: left foot.

  • b::Real: left shoulder.

  • c::Real: right shoulder.

  • d::Real: right foot.

Example

mf = PiShapeMF(1, 4, 5, 10)

PiecewiseLinear membership function

# FuzzyLogic.PiecewiseLinearMF — Type

struct PiecewiseLinearMF{T<:Real, S<:Real} <: FuzzyLogic.AbstractMembershipFunction

Piecewise linear membership function.

Fields

  • points::Array{Tuple{T, S}, 1} where {T<:Real, S<:Real}

Notes

If the input is between two points, its membership degree is computed by linear interpolation. If the input is before the first point, it has the same membership degree of the first point. If the input is after the last point, it has the same membership degree of the first point.

Example

mf = PiecewiseLinearMF([(1, 0), (2, 1), (3, 0), (4, 0.5), (5, 0), (6, 1)])

ProductSigmoid membership function

# FuzzyLogic.ProductSigmoidMF — Type

struct ProductSigmoidMF{T<:Real} <: FuzzyLogic.AbstractMembershipFunction

Product of two sigmoids. See also SigmoidMF.

Fields

  • a1::Real: slope of the first sigmoid.

  • c1::Real: center of the first sigmoid.

  • a2::Real: slope of the second sigmoid.

  • c2::Real: center of the second sigmoid.

Example

mf = ProductSigmoidMF(2, 3, -5, 8)

SShape membership function

# FuzzyLogic.SShapeMF — Type

struct SShapeMF{T<:Real} <: FuzzyLogic.AbstractMembershipFunction

S-shaped membership function.

Fields

  • a::Real: foot.

  • b::Real: shoulder.

Example

mf = SShapeMF(1, 8)

Sigmoid membership function

# FuzzyLogic.SigmoidMF — Type

struct SigmoidMF{T<:Real} <: FuzzyLogic.AbstractMembershipFunction

Sigmoid membership function .

Fields

  • a::Real: parameter controlling the slope of the curve.

  • c::Real: center of the slope.

Example

mf = SigmoidMF(2, 5)

Trapezoidal membership function

# FuzzyLogic.TrapezoidalMF — Type

struct TrapezoidalMF{T<:Real} <: FuzzyLogic.AbstractMembershipFunction

Trapezoidal membership function.

Fields

  • a::Real: left foot.

  • b::Real: left shoulder.

  • c::Real: right shoulder.

  • d::Real: right foot.

Example

mf = TrapezoidalMF(1, 3, 7, 9)

Triangular membership function

# FuzzyLogic.TriangularMF — Type

struct TriangularMF{T<:Real} <: FuzzyLogic.AbstractMembershipFunction

Triangular membership function.

Fields

  • a::Real: left foot.

  • b::Real: peak.

  • c::Real: right foot.

Example

mf = TriangularMF(3, 5, 7)

Type2 membership function

# FuzzyLogic.Type2MF — Type

struct Type2MF{MF1<:FuzzyLogic.AbstractMembershipFunction, MF2<:FuzzyLogic.AbstractMembershipFunction} <: FuzzyLogic.AbstractMembershipFunction

A type-2 membership function.

  • lo::FuzzyLogic.AbstractMembershipFunction: lower membership function.

  • hi::FuzzyLogic.AbstractMembershipFunction: upper membership function.

Example

mf = 0.7 * TriangularMF(3, 5, 7) .. TriangularMF(1, 5, 9)

Weighted membership function

# FuzzyLogic.WeightedMF — Type

struct WeightedMF{MF<:FuzzyLogic.AbstractMembershipFunction, T<:Real} <: FuzzyLogic.AbstractMembershipFunction

A membership function scaled by a parameter .

  • mf::FuzzyLogic.AbstractMembershipFunction: membership function.

  • w::Real: scaling factor.

Example

mf = 0.5 * TriangularMF(1, 2, 3)

ZShape membership function

# FuzzyLogic.ZShapeMF — Type

struct ZShapeMF{T<:Real} <: FuzzyLogic.AbstractMembershipFunction

Z-shaped membership function.

Fields

  • a::Real: shoulder.

  • b::Real: foot.

Example

mf = ZShapeMF(3, 7)