Skip to main content

On Some “family resemblances” of Fuzzy Set Theory and Human Sciences

  • Chapter
  • First Online:
Soft Computing in Humanities and Social Sciences

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 273))

Abstract

The aim of this paper is to underline the importance of detecting similarities or at least, ‘family resemblances’ among different fields of investigation. As a matter of fact, the attention will be focused mainly on fuzzy sets and a few features of human sciences; however, I hope that the arguments provided and the general context outlined will show that the problem of picking up (dis)similarities among different disciplines is of a more general interest. Usually strong dichotomies guide out attempts at understanding the paths along which scientific research proceed; i.e., soft versus hard sciences, humanities versus the sciences of nature, Naturwissenschaften versus Geisteswissenschaften, Kultur versus Zivilization, applied sciences and technology versus fundamental, basic (or, as has become recently fashionable to denote it, “curiosity driven”) research. However, the similarity or dissimilarity of different fields of investigation is - to quote Lotfi Zadeh - “a matter of degree”. This is particularly evident in the huge, composite, rich and chaotic field of the investigations having to do with the treatment of information, uncertainty, partial and revisable knowledge (and their application to different problems). The specific points treated in this paper can be then seen as case studies of a more general crucial question. A question which could be important in affording also the problems posed by interdisciplinarity. The specific point of the interaction between fuzzy sets and human sciences can be seen as an episode of a larger question. There is a long history, in fact, regarding the mutual relationship existing between the (so-called) humanities and the (so-called) hard sciences, that has produced the so-called question of the two Cultures. At the end of the paper possible epistemological similarities between the development of Fuzzy Set theory and new emerging disciplines, like Trust Theory, will be briefly discussed.

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 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
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. Castelfranchi, C., Falcone, R.: Trust Theory – A Socio-cognitive and Computational Model. John Wiley, Chichester (2010)

    Google Scholar 

  2. Greco, P.: L’astro narrante. Springer, Milan (2009)

    Book  Google Scholar 

  3. Greco, P.: Storia della comunicazione della scienza nel Seicento. In: L’idea pericolosa di Galileo. UTET, Turin (2009)

    Google Scholar 

  4. Termini, S.: Do Uncertainty and Fuzziness Present Themselves (and Behave) in the Same Way in Hard and Human Sciences? In: Hüllermeier, E., Kruse, R., Hoffmann, F. (eds.) IPMU 2010. CCIS, vol. 81, pp. 334–343. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  5. Kluck, N.: Some Notes on the Value of Vagueness in Everyday Communication. In: Hüllermeier, E., Kruse, R., Hoffmann, F. (eds.) IPMU 2010. CCIS, vol. 81, pp. 344–349. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  6. De Luca, A., Termini, S.: A definition of a non probabilistic entropy in the setting of fuzzy sets theory. Information and Control 20, 301–312 (1972)

    Article  MathSciNet  MATH  Google Scholar 

  7. 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 

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

    Google Scholar 

  9. Lukasiewicz, J.: Philosophical remarks on many-valued systems of propositional logic. In: Borkowski, L. (ed.) Jan Lukasiewicz: Selected Works. Studies in Logic and the Foundations of Mathematics, pp. 153–178. North-Holland Publ. Comp./Pol. Scientif. Publ., Amsterdam, Warszawa (1970)

    Google Scholar 

  10. Seising, R.: The Fuzzification of Systems. The Genesis of Fuzzy Set Theory and Its Initial Applications – Its Development to the 1970s. STUDFUZZ, vol. 216. Springer, Berlin (2007)

    Google Scholar 

  11. Seising, R. (ed.): Views on Fuzzy Sets and Systems from Different Perspectives. Philosophy and Logic, Criticisms and Applications. STUDFUZZ, vol. 243. Springer, Berlin (2009)

    MATH  Google Scholar 

  12. Snow, C.P.: The Two Cultures and the Scientific Revolution. Cambridge University Press, Cambridge (1959)

    Google Scholar 

  13. Tamburrini, G., Termini, S.: Do Cybernetics, System Science and Fuzzy Sets share some epistemological problems? I. An analysis of Cybernetics. In: Proceedings of the 26th Annual Meeting Society for General Systems Research, Washington, D.C, January 5-9, pp. 460–464 (1982)

    Google Scholar 

  14. Tamburrini, G., Termini, S.: Some Foundational Problems in the Formalization of Vagueness. In: Gupta, M.M., Sanchez, E. (eds.) Fuzzy Information and Decision Processes, pp. 161–166. North-Holland (1982)

    Google Scholar 

  15. Termini, S.: The formalization of vague concepts and the traditional conceptual framework of mathematics. In: Proceedings of the VII International Congress of Logic, Methodology and Philosophy of Science, Salzburg, vol. 3, Section 6, pp. 258–261 (1983)

    Google Scholar 

  16. Termini, S.: Aspects of vagueness and some epistemological problems related to their formalization. In: Skala Heinz, J., Termini, S., Trillas, E. (eds.) Aspects of Vagueness, pp. 205–230. Reidel, Dordrecht (1984)

    Chapter  Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

  18. Termini, S.: Vagueness in Scientific Theories. In: Singh, M.G. (ed.) Encyclopedia of Systems and Control, pp. 4993–4996. Pergamon Press (1988)

    Google Scholar 

  19. Termini, S.: On some vagaries of vagueness and information. Annals of Mathematics and Artificial Intelligence 35, 343–355 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  20. Termini, S.: Imagination and Rigor: their interaction along the way to measuring fuzziness and doing other strange things. In: Termini, S. (ed.) Imagination and Rigor, pp. 157–176. Springer, Milan (2006)

    Chapter  Google Scholar 

  21. Termini, S.: On Explicandum versus Explicatum: A few elementary remarks on the birth of innovative notions in Fuzzy Set Theory (and Soft Computing). In: Seising, R., Sanz, V. (eds.) Soft Computing in Humanities and Social Sciences. Studies in Fuzziness and Soft Computing, vol. I, Springer, Heidelberg (2011)

    Google Scholar 

  22. Termini, S.: Concepts, Theories, and Applications: the role of “experimentation” for formalizing new ideas along innovative avenues. In: Trillas, E., Bonissone, P., Magdalena, L., Kacprycz, J. (eds.) Experimentation and Theory: Hommage to Abe Mamdani. STUDFUZZ, Physica-Verlag (to appear, 2011)

    Google Scholar 

  23. Terricabras, J.-M., Trillas, E.: Some remarks on vague predicates. Theoria 10, 1–12 (1988)

    MathSciNet  Google Scholar 

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

    Chapter  Google Scholar 

  25. Trillas, E., Mas, M., Miquel, M., Torrens, J.: Conjecturing from consequences. International Journal of General Systems 38(5), 567–578 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  26. Trillas, E., Pradera, A., Alvarez, A.: On the reducibility of hypotheses and consequences. Information Sciences 179(23), 3957–3963 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  27. Trillas, E., Moraga, C., Sobrino, A.: On ’family resemblance’ with fuzzy sets. In: Proceedings of the 13th IFSA World Congress and 6th EUSFLAT Conference - IFSA-EUSFLAT 2009, pp. 306–311 (2009)

    Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

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

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Termini, S. (2012). On Some “family resemblances” of Fuzzy Set Theory and Human Sciences. In: Seising, R., Sanz González, V. (eds) Soft Computing in Humanities and Social Sciences. Studies in Fuzziness and Soft Computing, vol 273. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24672-2_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-24672-2_2

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24671-5

  • Online ISBN: 978-3-642-24672-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics