Fuzzy quantum logics as a basis for quantum probability theory
The author presents a representation of an abstract quantum logic with an ordering set \(S\) of states via fuzzy sets on \(S\) which are given by evaluational functionals. Such a representation of fuzzy sets is given by Łukasiewicz (or Giles) connectives. Some indications for building a phase-space representation of quantum mechanics free of the problem of negative probabilities are given.
scientific article; zbMATH DE number 1196995