Fuzzy number

[1] This weight is called the membership function.

A fuzzy number is thus a special case of a convex, normalized fuzzy set of the real line.

[2] Just like fuzzy logic is an extension of Boolean logic (which uses absolute truth and falsehood only, and nothing in between), fuzzy numbers are an extension of real numbers.

Calculations with fuzzy numbers allow the incorporation of uncertainty on parameters, properties, geometry, initial conditions, etc.

The arithmetic calculations on fuzzy numbers are implemented using fuzzy arithmetic operations, which can be done by two different approaches: (1) interval arithmetic approach;[3] and (2) the extension principle approach.