Der Begriff Fuzzy-Mengentheorie wurde 1965 von dem sowjetischen Wissenschaftler Lotfi A. Zadeh zum ersten Mal in einer Publikation verwendet. Er sah ein, dass sich Mengen wie, schöne Frauen oder reelle Zahlen, die viel größer als eins sind, nicht im gewohnten mathematisch-gruppentheoretischen Sinn klassifizieren lassen. Da Zadeh dennoch die Rolle solcher unpräzisen Typen oder Klassen im menschlichen Denken erkannte, wies er ihnen den Namen Fuzzy Sets zu, um sie mathematisch untersuchen zu können. Die Fuzzy-Logik basiert auf der Negation des Satzes vom ausgeschlossenen Dritten: Während in traditionellen, scharfen Mengen ein Element entweder enthalten sein kann oder nicht, kann ein Element einer unscharfen Fuzzy-Menge auch ein bisschen vertreten sein. Um dies zu illustrieren, möchte ich zunächst die Paradoxie des Barbiers anführen, die auf den walisischen Mathematiker B. Russell zurückgeht: Die rasierten Männer einer spanischen Kleinstadt lassen sich als Menge mit der Eigenschaft rasiert klassifizieren. Diese Menge lässt sich nun i......

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