C++ Neural Networks and Fuzzy Logic: Preface

Fuzzy Set Operations

The usual operations you can perform on ordinary sets are union, in which you take all the elements that are in

one set or the other; and intersection, in which you take the elements that are in both sets. In the case of fuzzy

sets, taking a union is finding the degree of membership that an element should have in the new fuzzy set,

which is the union of two fuzzy sets.

If a, b, c, and d are such that their degrees of membership in the fuzzy set A are 0.9, 0.4, 0.5, and 0,

respectively, then the fuzzy set A is given by the fit vector (0.9, 0.4, 0.5, 0). The components of this fit vector

are called fit values of a, b, c, and d.