Skip to main content

On Fuzziness, Its Homeland and Its Neighbour

  • Chapter
Book cover On Fuzziness

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 299))

Abstract

It has been frequently remembered (also in the invitation letter to contribute to the present volume) that in his 1962 paper [27] which is a sort of proto-manifesto of fuzzy sets [28], Zadeh among the possible names that could denote the new notion he was trying to introduce, basides fuzzy, mentioned the term cloudy. If he had chosen this last one as the name of the theory, today we had contributed to a volume On Cloudiness.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Alsina, C., Trillas, E., Valverde, L.J.: On Some Logical Connectives for Fuzzy Sets Theory. Journal of Mathematical Analysis and Applications 93(1), 15–26 (1983)

    Article  MathSciNet  MATH  Google Scholar 

  2. Arnheim, R.: Entropy and Art. University of California Press, Berkeley (1969)

    Google Scholar 

  3. Cardaci, M., Di Gesú, V., Petrou, M., Tabacchi, M.E.: On the Evaluation of Images Complexity: A Fuzzy Approach. In: Bloch, I., Petrosino, A., Tettamanzi, A.G.B. (eds.) WILF 2005. LNCS (LNAI), vol. 3849, pp. 305–311. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  4. Coletti, G., Scozzafava, R.: Probabilistic Logic in a Coherent Setting. Trends in Logic, vol. 15. Kluwer, Dordrecht (2002)

    Book  Google Scholar 

  5. de Finetti, B.: La prévision: ses lois logiques, ses sources subjectives, Annales de l’Institut Henri Poincaré, vol. 7, pp. 1–68 (1937); Translation reprinted: Kyburg, H.E., Smokler, H.E.: Studies in Subjective Probability, 2nd edn., pp. 53–118. Robert Krieger, New York (1980)

    Google Scholar 

  6. de Finetti, B.: Theory of Probability, vol. 1. John Wiley and Sons, New York (1974)

    MATH  Google Scholar 

  7. De Luca, A., Termini, S.: A Definition of a Non Probabilistic Entropy. Information and Control 4, 301–312 (1972)

    Article  Google Scholar 

  8. De Luca, A., Termini, S.: Entropy and Energy Measures of a Fuzzy Set. In: Gupta, M.M., Ragade, R.K., Yager, R.R. (eds.) Advances in Fuzzy Set Theory and Applications, pp. 321–338. North-Holland, Amsterdam (1979)

    Google Scholar 

  9. De Luca, A., Termini, S.: Entropy Measures in Fuzzy Set Theory. In: Singh, M.G. (ed.) Systems and Control Encyclopedia, pp. 1467–1473. Pergamon Press, Oxford (1988)

    Google Scholar 

  10. Moraga, C.: Towards a Fuzzy Computability? Mathware & Soft Computing 6(2-3), 163–172 (1999)

    MathSciNet  Google Scholar 

  11. von Neumann, J.: The General and Logical Theory of Automata. In: Cerebral Mechanisms in Behaviour – The Hixon Symposium. J. Wiley, New York (1951); reprinted in [13], pp. 288–328

    Google Scholar 

  12. von Neumann, J.: Probabilistic Logics and the Synthesis of Reliable Organisms from Unreliable Components. In: Shannon, C.E., MacCarthy, J. (eds.) Automata Studies, pp. 329–378. Princeton University Press (1956); reprinted in [13], pp. 329–378

    Google Scholar 

  13. von Neumann, J.: Design of Computers, Theory of Automata and Numerical Analysis. Collected Works, vol. V. Pergamon Press, Oxford (1961)

    Google Scholar 

  14. Pinna, B., Tabacchi, M.E.: A Fuzzy Approach to the Role of Symmetry in Shape Formation: The Illusion of the Scalene Triangle. In: Di Gesù, V., Pal, S.K., Petrosino, A. (eds.) WILF 2009. LNCS, vol. 5571, pp. 197–204. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  15. Scozzafava, R.: The Membership of a Fuzzy Set as Coherent Conditional Probability (In this volume)

    Google Scholar 

  16. Seising, R.: The Fuzzification of Systems. The Genesis of Fuzzy Set Theory and Its Initial Applications – Developments up to the 1970s. Springer, New York (2007)

    MATH  Google Scholar 

  17. Seising, R., Sanz, V. (eds.): Soft Computing in Humanities and Social Sciences. STUDFUZZ, vol. 273. Springer, Heidelberg (2011)

    Google Scholar 

  18. Tabacchi, M., Termini, S.: Measures of Fuzziness and Information: Some Challenges from Reflections on Aesthetic Experience. In: Yager, R.R., Reformat, M.Z., Shahbazova, S.N., Ovchinnikov, S. (eds.) Proceedings of the World Conference on Soft Computing, May 23-26, San Francisco State University, San Francisco (2011); (memory stick, paper no. 152)

    Google Scholar 

  19. Termini, S.: Remarks on the Development of Cybernetics. Scientiae Matematicae Japonicae 64(2), 461–468 (2006)

    MathSciNet  MATH  Google Scholar 

  20. Termini, S. (Istituto di Cibernetica “Eduardo Caianiello” Pozzuoli (NA) Italy) – Interview by Rudolf Seising. Philosophy & Soft Computing Newsletter 2(2), 7–14 (2010), http://docs.softcomputing.es/public/NewsletterPhilosophyAndSoftComputingNumber_3.pdf

    Google Scholar 

  21. Trillas, E., Riera, T.: Entropies for Finite Fuzzy Sets. Information Sciences 15, 159–168 (1978)

    Article  MathSciNet  MATH  Google Scholar 

  22. Trillas, E., Alsina, C.: Sur les mesures du degré de flou. Stochastica III(1), 81–84 (1979)

    Google Scholar 

  23. Trillas, E.: On Exact Conditionals. Stochastica 13(1), 137–143 (1992)

    MathSciNet  MATH  Google Scholar 

  24. Trillas, E.: Sobre funciones de negación en la teoría de subconjuntos difusos. Stocastica III, 47–59; an english version appeared in the volume: Barro, S., Bugarin, A., Alejandro, S. (eds.): Advances of Fuzzy Logic, pp. 31–43. Press of the Universidad de Santiago de Compostela, Spain (1998)

    Google Scholar 

  25. Trillas, E.: Non Contradiction, Excluded Middle, and Fuzzy Sets. In: Di Gesù, V., Pal, S.K., Petrosino, A. (eds.) WILF 2009. LNCS, vol. 5571, pp. 1–11. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  26. Takéhiko, N., Trillas, E., Itziar, G.-H.: Axiomatic Investigation of Fuzzy Probabilities. In: [17], pp. 125–140

    Google Scholar 

  27. Zadeh, L.A.: From Circuit Theory to System Theory. Proceedings of the IRE 50, 856–865 (1962)

    Article  MathSciNet  Google Scholar 

  28. Zadeh, L.A.: Fuzzy Sets. Information and Control 8, 338–353 (1965)

    Article  MathSciNet  MATH  Google Scholar 

  29. Zadeh, L.A.: Fuzzy Algorithms. Information and Control 12, 99–102 (1968)

    Article  MathSciNet  Google Scholar 

  30. Zadeh, L.A.: The Concept of a Linguistic Variable and its Application to Approximate Reasoning I. Information Science 8(3), 199–249 (1975); II: Information Science 8(4), 301–357 (1975), III: 9(1), pp. 43–80 (1975)

    Article  MathSciNet  MATH  Google Scholar 

  31. Zadeh, L.A.: From Computing with Numbers to Computing with Words – From Manipulation of Measurements to Manipulation of Perceptions. International Journal of Applied Mathematics and Computer Science 12, 307–324 (2002)

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Termini, S. (2013). On Fuzziness, Its Homeland and Its Neighbour. In: Seising, R., Trillas, E., Moraga, C., Termini, S. (eds) On Fuzziness. Studies in Fuzziness and Soft Computing, vol 299. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35644-5_36

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-35644-5_36

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-35643-8

  • Online ISBN: 978-3-642-35644-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics