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International Conference on Computer Aided Systems Theory

EUROCAST 2019: Computer Aided Systems Theory – EUROCAST 2019 pp 28–35Cite as

From Linear Systems to Fuzzy Systems to Perception-Based Systems

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 12013))

Abstract

This is another insight into the genesis of the theory of fuzzy sets and systems in the life of its founder Lotfi A. Zadeh. We present some historical roots of the theory of fuzzy systems and their further development to Computing with Words (CWW) and the Computational Theory of Perceptions (CTP).

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Notes

  1. 1.

    For basics on the theory of fuzzy sets see the paper “Lotfi Zadeh: Fuzzy Sets and Systems” in this volume. For a detailed study on that history see [12].

References

  1. Zadeh, L.A.: System theory. Columbia Eng. Q. 8, 16–19, and 34 (1954)

    Google Scholar 

  2. Zadeh, L.A., Desoer, Ch.A.: Linear System Theory: The State Space Approach. McGraw-Hill Book Company, New York (1963)

    Google Scholar 

  3. Zadeh, L.A., Polak, E. (eds.): System Theory. McGraw-Hill, Bombay (1969)

    Google Scholar 

  4. Mesarovic, M.D.: Views on general systems theory. In: Proceedings of the Second Systems Symposium at Case Institute of Technology. Robert E. Krieger Publ. Comp., Huntington, New York (1964)

    Google Scholar 

  5. Zadeh, L.A.: The Concept of State in System Theory, in [4], pp. 39–50

    Google Scholar 

  6. Zadeh, L.A.: In an interview with the author on July 26, 2000, Soda Hall, University of California, Berkeley, CA, USA

    Google Scholar 

  7. Zadeh, L.A.: From circuit theory to system theory. Proc. IRE 50(5), 856–865 (1962)

    Article  MathSciNet  Google Scholar 

  8. Bellman, R., Kalaba, R., Zadeh, L.A.: Abstraction and Pattern Classification, Memo RM-4307-PR, US Air Force Project Rand. The Rand Corporation, Santa Monica (1964)

    Google Scholar 

  9. Zadeh, L.A.: Fuzzy sets. Inf. Control 8, 338–353 (1965)

    Article  Google Scholar 

  10. Zadeh, L.A.: Fuzzy sets and systems. In: Fox, J. (ed.) System Theory. Microwave Research Institute Symposia Series XV, pp. 29–37. Polytechnic Press, Brooklyn (1965)

    Google Scholar 

  11. Zadeh, L.A.: Shadows of Fuzzy Sets. In: Problemy peredachi informatsii, Akademija Nauk SSSR Moskva, vol. 2, no. 1, pp. 37–44 (1966). Engl. transl. in: Problems of Information Transmission: A Publication of the Academy of Sciences of the USSR; the Faraday Press coverto-cover transl., New York, NY, 2 1966

    Google Scholar 

  12. Seising, R.: The Fuzzification of Systems. The Genesis of Fuzzy Set Theory and Its Initial Applications – Its Development to the 1970s. Springer, Heidelberg (2007). https://doi.org/10.1007/978-3-540-71795-9

    Book  MATH  Google Scholar 

  13. Zadeh, L.A.: Interview with Lotfi Zadeh, Creator of Fuzzy Logic by Betty Blair. Azerbaijada Int. 2(4), 47–52 (1994)

    Google Scholar 

  14. Seising, R.: The experimenter and the theoretician – linguistic synthesis to tell machines what to do. In: Trillas, E., Bonissone, P., Magdalena, L., Kacprycz, J. (eds.) Combining Experimentation and Theory – A Homage to Abe Mamdani, pp. 329–358. Springer, Berlin (2012). https://doi.org/10.1007/978-3-642-24666-1_23

    Chapter  Google Scholar 

  15. Rosch, E.: Natural categories. Cogn. Psychol. 4, 328–350 (1973)

    Article  Google Scholar 

  16. Lakoff, G.: Hedges a study in meaning criteria and the logic of fuzzy concepts. J. Philos. Log. 2, 458–508 (1973)

    Article  MathSciNet  Google Scholar 

  17. Zadeh, L.A.: A fuzzy-set-theoretic interpretation of linguistic hedges. J. Cybern. 2, 4–34 (1972)

    Article  MathSciNet  Google Scholar 

  18. Zadeh, L.A.: Outline of a new approach to the analysis of complex systems and decision processes. IEEE Trans. Syst. Man Cybern. SMC 3(1), 28–44 (1973)

    Article  MathSciNet  Google Scholar 

  19. Zadeh, L.A.: From computing with numbers to computing with words – from manipulation of measurements to manipulation of perceptions. IEEE Trans. Circuits Syst. I Fundam. Theory Appl. 45(1), 105–119 (1999)

    Article  MathSciNet  Google Scholar 

  20. Zadeh, L.A.: Fuzzy Logic = Computing with Words. IEEE Trans. Fuzzy Syst. 4(2), 103–111 (1996)

    Article  Google Scholar 

  21. Zadeh, L.A.: A new direction in AI. Toward a computational theory of perceptions. AI Mag. 22(1), 73–84 (2001)

    MATH  Google Scholar 

  22. Zadeh, L.A.: Fuzzy languages and their relation to human and machine intelligence. In: Proceedings of the International Conference on Man and Computer, Bordeaux, pp. 13–165. Karger, Basel (1970)

    Google Scholar 

  23. Zadeh, L.A.: Fuzzy logic, neural networks, and soft computing. Commun. ACM 37(3), 73–84 (1994)

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. Deutsches Museum, Munich, Germany

    Rudolf Seising

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  1. Rudolf Seising
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Correspondence to Rudolf Seising .

Editor information

Editors and Affiliations

  1. University of Las Palmas de Gran Canaria, Las Palmas de Gran Canaria, Spain

    Roberto Moreno-Díaz

  2. Johannes Kepler University Linz, Linz, Austria

    Franz Pichler

  3. University of Las Palmas de Gran Canaria, Las Palmas de Gran Canaria, Spain

    Alexis Quesada-Arencibia

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Seising, R. (2020). From Linear Systems to Fuzzy Systems to Perception-Based Systems. In: Moreno-Díaz, R., Pichler, F., Quesada-Arencibia, A. (eds) Computer Aided Systems Theory – EUROCAST 2019. EUROCAST 2019. Lecture Notes in Computer Science(), vol 12013. Springer, Cham. https://doi.org/10.1007/978-3-030-45093-9_4

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  • DOI: https://doi.org/10.1007/978-3-030-45093-9_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-45092-2

  • Online ISBN: 978-3-030-45093-9

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