Fuzzy Turing machines revised

Jiřı́ Wiedermann · Digital Repository (National Repository of Grey Literature) · 2002

Fuzzy Turing machines and fuzzy languages were introduced by Zadeh, Lee and Santos in nineteen seventies.Unfortunately, it appears that from computability point of view their model is too powerful -its nondeterministic version accepts non-recursively enumerable fuzzy languages.Moreover, from the viewpoint of the modern fuzzy logic theory the model is too restrictive since it is defined only for a specific t-norm (Gödel norm).Therefore we propose a generalization of the original model that is based on rigorous mathematical fundamentals of fuzzy logic.Its acceptance criterion is modified so that the resulting model obeys the Church-Turing Theses.

Read the paper · More papers on PaperTik