membership(axisfuzzy.membership)

Introduction

The membership module supplies a concise, extensible library of fuzzy membership functions used for fuzzification in AxisFuzzy. It includes an abstract MembershipFunction base class, a comprehensive set of standard implementations (triangular, trapezoidal, Gaussian, sigmoid, S/Z/Pi, generalized bell, double Gaussian, etc.), and a factory for creating functions by name or alias. Each function supports NumPy-vectorized evaluation, parameter validation and updates, optional plotting, and careful numerical handling. Designed for easy integration with the fuzzification pipeline, the module also allows users to add custom membership functions that are discovered and instantiated by the factory.

• membership.base
  • Architecture
  • Core Methods
  • Usage Patterns
  • Design Principles
  • MembershipFunction
    • MembershipFunction.name
    • MembershipFunction.parameters
    • MembershipFunction.compute()
    • MembershipFunction.get_parameters()
    • MembershipFunction.plot()
    • MembershipFunction.set_parameters()
• membership.function
  • Available Functions
  • Design Principles
  • Parameter Conventions
  • Vectorization Support
  • Performance Characteristics
  • Integration with AxisFuzzy
  • DoubleGaussianMF
    • DoubleGaussianMF.compute()
    • DoubleGaussianMF.get_parameters()
    • DoubleGaussianMF.plot()
    • DoubleGaussianMF.set_parameters()
  • GaussianMF
    • GaussianMF.compute()
    • GaussianMF.get_parameters()
    • GaussianMF.plot()
    • GaussianMF.set_parameters()
  • GeneralizedBellMF
    • GeneralizedBellMF.compute()
    • GeneralizedBellMF.get_parameters()
    • GeneralizedBellMF.plot()
    • GeneralizedBellMF.set_parameters()
  • PiMF
    • PiMF.compute()
    • PiMF.get_parameters()
    • PiMF.plot()
    • PiMF.set_parameters()
  • SMF
    • SMF.compute()
    • SMF.get_parameters()
    • SMF.plot()
    • SMF.set_parameters()
  • SigmoidMF
    • SigmoidMF.compute()
    • SigmoidMF.get_parameters()
    • SigmoidMF.plot()
    • SigmoidMF.set_parameters()
  • TrapezoidalMF
    • TrapezoidalMF.compute()
    • TrapezoidalMF.get_parameters()
    • TrapezoidalMF.plot()
    • TrapezoidalMF.set_parameters()
  • TriangularMF
    • TriangularMF.compute()
    • TriangularMF.get_parameters()
    • TriangularMF.plot()
    • TriangularMF.set_parameters()
  • ZMF
    • ZMF.compute()
    • ZMF.get_parameters()
    • ZMF.plot()
    • ZMF.set_parameters()
• membership.factory
  • Architecture
  • Core Functions
  • Automatic Class Discovery
  • Alias System
  • Parameter Handling
  • Error Handling
  • create_mf()
  • get_mf_class()