Fuzzy Inference System Modeling

Build Mamdani and Sugeno fuzzy inference systems

Fuzzy inference is the process of formulating input/output mappings using fuzzy logic. Fuzzy Logic Toolbox™ software provides command-line functions and an app for creating Mamdani and Sugeno fuzzy systems. For more information on fuzzy logic, seeWhat Is Fuzzy Logic?For more information on fuzzy inference, seeFuzzy Inference Process.

Apps

Fuzzy Logic Designer

Design and test fuzzy inference systems

Functions

Create Fuzzy Systems

`newfis`	Create new fuzzy inference system
`genfis`	Generate fuzzy inference system structure from data
`genfisOptions`	Option set for genfis command
`addvar`	Add variable to fuzzy inference system
`rmvar`	Remove variables from fuzzy inference system
`mam2sug`	Transform Mamdani Fuzzy Inference System into Sugeno Fuzzy Inference System
`getfis`	Get fuzzy system properties
`setfis`	Set fuzzy system properties

Specify Membership Functions

`mfedit`	Open Membership Function Editor
`addmf`	Add membership function to fuzzy inference system
`rmmf`	Remove membership function from fuzzy inference system

Specify Fuzzy Rules

`ruleedit`	Open Rule Editor
`ruleview`	Open Rule Viewer
`addrule`	Add rule to fuzzy inference system
`showrule`	Display fuzzy inference system rules
`parsrule`	Parse fuzzy rules

Evaluate and Visualize Fuzzy Systems

`evalfis`	Perform fuzzy inference calculations
`plotfis`	Plot Fuzzy Inference System
`surfview`	Open Surface Viewer
`gensurf`	Generate fuzzy inference system output surface
`gensurfOptions`	Option set for gensurf command
`showfis`	Display annotated Fuzzy Inference System

Import and Export

`readfis`	Load Fuzzy Inference System from file
`writefis`	Save fuzzy inference system to file

Construct Custom Fuzzy Systems

`gaussmf`	Gaussian curve membership function
`gbellmf`	Generalized bell-shaped membership function
`trimf`	Triangular-shaped membership function
`dsigmf`	Difference between two sigmoidal membership functions
`gauss2mf`	Gaussian combination membership function
`pimf`	Π-shaped membership function
`psigmf`	Product of two sigmoidal membership functions
`sigmf`	Sigmoidal membership function
`smf`	S-shaped membership function
`trapmf`	Trapezoidal-shaped membership function
`zmf`	Z-shaped membership function
`plotmf`	Plot all membership functions for given variable
`evalmf`	Generic membership function evaluation
`mf2mf`	Translate parameters between membership functions
`defuzz`	Defuzzify membership function
`probor`	概率或
`fuzarith`	Perform fuzzy arithmetic

Topics

Fuzzy Logic Basics

What Is Fuzzy Logic?

Fuzzy logic uses linguistic variables, defined as fuzzy sets, to approximate human reasoning.

Foundations of Fuzzy Logic

A fuzzy logic system is a collection fuzzy if-then rules that perform logical operations on fuzzy sets.

Fuzzy Inference

Fuzzy Inference Process

Fuzzy inference maps an input space to an output space using a series of fuzzy if-then rules.

What Is Mamdani-Type Fuzzy Inference?

In Mamdani systems, the output of each if-then rule is a fuzzy set. To determine a crisp output value, these fuzzy sets are aggregated and defuzzified.

What Is Sugeno-Type Fuzzy Inference?

In Sugeno systems, the output of each if-then rule is either constant or a linear function of the input variables. The final output value is the weighted average of all rule outputs.

Comparison of Sugeno and Mamdani Systems

Both Mamdani and Sugeno systems have several advantages depending on your specific application.