The Emergence of Fuzzy Sets in the Decade of the Perceptron—Lotfi A. Zadeh’s and Frank Rosenblatt’s Research Work on Pattern Classification
The Research Institute for the History of Science and Technology, Deutsches Museum, 80538 Munich, Germany
Mathematics 2018, 6(7), 110; https://doi.org/10.3390/math6070110
Received: 25 May 2018
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Revised: 16 June 2018
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Accepted: 19 June 2018
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Published: 26 June 2018
(This article belongs to the Special Issue Fuzzy Mathematics)
In the 1950s, the mathematically oriented electrical engineer, Lotfi A. Zadeh, investigated system theory, and in the mid-1960s, he established the theory of Fuzzy sets and systems based on the mathematical theorem of linear separability and the pattern classification problem. Contemporaneously, the psychologist, Frank Rosenblatt, developed the theory of the perceptron as a pattern recognition machine based on the starting research in so-called artificial intelligence, and especially in research on artificial neural networks, until the book of Marvin L. Minsky and Seymour Papert disrupted this research program. In the 1980s, the Parallel Distributed Processing research group requickened the artificial neural network technology. In this paper, we present the interwoven historical developments of the two mathematical theories which opened up into fuzzy pattern classification and fuzzy clustering.
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Keywords:
pattern classification; fuzzy sets; perceptron; artificial neural networks; Lotfi A. Zadeh; Frank Rosenblatt
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MDPI and ACS Style
Seising, R. The Emergence of Fuzzy Sets in the Decade of the Perceptron—Lotfi A. Zadeh’s and Frank Rosenblatt’s Research Work on Pattern Classification. Mathematics 2018, 6, 110. https://doi.org/10.3390/math6070110
AMA Style
Seising R. The Emergence of Fuzzy Sets in the Decade of the Perceptron—Lotfi A. Zadeh’s and Frank Rosenblatt’s Research Work on Pattern Classification. Mathematics. 2018; 6(7):110. https://doi.org/10.3390/math6070110
Chicago/Turabian StyleSeising, Rudolf. 2018. "The Emergence of Fuzzy Sets in the Decade of the Perceptron—Lotfi A. Zadeh’s and Frank Rosenblatt’s Research Work on Pattern Classification" Mathematics 6, no. 7: 110. https://doi.org/10.3390/math6070110
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