# Intuitionistic fuzzy sets

Revision as of 12:09, 13 October 2008 by 194.160.34.77 (talk) (New page: Let us have a fixed universe <math>E</math> and its subset <math>A</math>. The set <div align="center"> <math>A^* = \lbrace \langle x, \mu_A(x), \nu_A(x) \rangle \ | \ x \in E \rbrace</m...)

Let us have a fixed universe and its subset . The set

where
is called **intuitionistic fuzzy set**.

Functions and represent *degree of membership (validity, etc.)* and *non-membership (non-validity, etc.)*.

We can define also function through

and it corresponds to *degree of indeterminacy (uncertainty, etc.)*.

For brevity, we shall write below instead of , whenever this is possible.

Obviously, for every ordinary fuzzy set : for each and these sets have the form