FUZZY LOGICS AND OBSERVABLES

Systems of fuzzy subsets fulfilling quantum logic axioms with respect to fuzzy connectives are studied. An integral representation of a stat e on a fuzzy logic is shown. Fuzzy observables and their real-valued m ean values are introduced in the obvious way. Using the relationship b etween fuzzy observables and fuzzy real-valued random variables, a fuz zy real-valued mean value of a fuzzy observable is introduced. The rel ationship between both types of mean values is studied and an example is presented.