Encyclopedia > Fuzzy set

  Article Content

Fuzzy set

Fuzzy sets are an extension of the classical set theory. A fuzzy set is characterized by a membership-degree function, which maps the members of the universe into the real continuous interval [0;1]. The value 0 means that the member is not included in the given set, 1 describes a fully included member (this behaviour corresponds to the classical sets). The values between 0 and 1 characterize fuzzy members.

For the universe X and given the membership-degree function f : X→[0;1], the fuzzy set A is defined as A = {(x, f(x)) | x ∈ X}.



All Wikipedia text is available under the terms of the GNU Free Documentation License

 
  Search Encyclopedia

Search over one million articles, find something about almost anything!
 
 
  
  Featured Article
Muhammad Ali

... white man could look at him or listen to him and feel superior". He was diagnosed with Parkinson's disease in 1982, following which his motor functions began a slow ...