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Fuzzy set theory

Die Theorie der unscharfen Mengen

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Zusammenfassung

Seit Beginn der neunziger Jahre wird unter dem Schlagwort „Fuzzy Logic“ von einer Vielzahl von Anwendungen der Theorie unscharfer Mengen vor allem in Japan berichtet. Dies hat in Europa und hier insbesondere in Deutschland zu einem Umdenken bei Wissenschaftlern und Praktikern geführt, die lange Zeit die Potentiale der neuen Technologie verkannten. Nun ist schlagartig eine sehr große Nachfrage nach Informationen zu diesem Thema entstanden. Dieser Artikel gibt einen Überblick über die wesentlichen Grundlagen der Theorie unscharfer Mengen und zeigt potentielle Anwendungen auf.

Summary

Since the beginning nineties, entitled with the catchword “Fuzzy Logic” reports have been given on numerous, predominantly Japanese applications of fuzzy set theory. This had brought about a change in thinking for scientists and practitioners in Europe and, in particular, in Germany. Had the potentials of this new technology for a long time been underestimated, there now suddenly springs up a very high demand for information on this topic. This article gives a survey of the fundamentals of fuzzy set theory and describes potential applications.

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Lehmann, I., Weber, R. & Zimmermann, H.J. Fuzzy set theory. OR Spektrum 14, 1–9 (1992). https://doi.org/10.1007/BF01783496

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