Generalized Bell MF

Generalized bell membership function

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Libraries:
Fuzzy Logic Toolbox / Membership Functions

Description

The Generalized Bell MF block implements a membership function based on a generalized bell-shaped function.

$$f\left(x;a,b,c\right)=\frac{1}{1+{\left|\frac{x-c}{a}\right|}^{2b}}$$

Here, a and b control the width of the function and c controls the center of the function.

Ports

Input

x — Input value

scalar | vector

Input value for which to compute membership values, specified as a scalar or vector.

Output

MF — Membership value

scalar | vector

Membership value, returned as a scalar or a vector. The dimensions of MF match the dimensions of x. Each element of MF is the membership value computed for the corresponding element of x.

Parameters

a — Function shape parameter

5 (default) | scalar

Parameter that, together with b, defines the shape of the membership function.

Programmatic Use

Block Parameter: a

Type: string, character vector

Default: "5"

b — Function shape parameter

4 (default) | positive scalar

Parameter that, together with a, defines the shape of the membership function.

Programmatic Use

Block Parameter: b

Type: string, character vector

Default: "4"

c — Center point

0 (default) | scalar

Function center point.

Programmatic Use

Block Parameter: c

Type: string, character vector

Default: "0"

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.

PLC Code Generation
Generate Structured Text code using Simulink® PLC Coder™.

Version History

Introduced before R2006a