Skip to main content

In the Future Everyone Will Be a Fuzzy Set: Enric Trillas, FST as an Experimental Science and the Relationship with Theory of Concepts

  • Chapter
Accuracy and Fuzziness. A Life in Science and Politics

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 323))

Abstract

Enrique Trillas Ruiz has had a long association with Italy, and for ten years now has been in the Scientific committee of WILF, the International Workshop on Fuzzy Logic born and breed in our country; it was not until WILF 2009, which our research group organised in Terrasini (Palermo) and in which organising committee I sat, that I become aware of the “complementary soul” of Enric’s work. Up to that point I had stumbled upon his papers on fuzzy operators and logic, mostly the joint works of him and Claudi Alsina, such as [1, 2, 21], but my research interest at the time seemed to me away and far apart from the ensemble of symbols and logical implication: I was trying to use the elements of Fuzzy Set Theory to assess and compare typical cognitive tasks in humans - evaluation of image complexity was and still is one of my research interests, and the plethora of symbols seemed at the time to clash with the idea of representing what was normally expressed with words, intuitions and feelings.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 109.99
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.: On the symmetric difference of fuzzy sets. Fuzzy Sets and Systems 153(2), 181–194 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  2. Alsina, C., Trillas, E.: On the difference of fuzzy sets. Int. J. Intell. Syst. 23(3), 355–363 (2008)

    Article  MATH  Google Scholar 

  3. Bandler, W., Kohout, L.J.: Fuzzy power set and fuzzy implication operators. Fuzzy Sets and Systems 4, 13–30 (1980)

    Article  MATH  MathSciNet  Google Scholar 

  4. Belohlavek, R., Klir, G.J.: Concepts and fuzzy logic. MIT Press (2011)

    Google Scholar 

  5. Calegari, S., Ciucci, D.: Integrating fuzzy logic in ontologies. In: ICEIS (2), pp. 66–73 (2006)

    Google Scholar 

  6. D’Asaro, F.A., Perticone, V., Tabacchi, M.E., Termini, S.: Reflections on technology and human sciences: rediscovering a common thread through the analysis of a few epistemological features of fuzziness. Archives for the Philosophy and History of Soft Computing 1 (2013)

    Google Scholar 

  7. D’Asaro, F.A., Perticone, V., Tabacchi, M.E., Termini, S.: Technology and human sciences: a dialogue to be constructed or a common tread to be rediscovered? In: Pedrycz, W., Reformat, M. (eds.) 2013 Joint IFSA World Congress NAFIPS Annual Meeting. IEEE SMC (2013)

    Google Scholar 

  8. Hampton, J.A.: Conceptual combination: Conjunction and negation of natural concepts. Memory and Cognition 25(6), 888–909 (1997)

    Article  Google Scholar 

  9. Hampton, J.A.: Concepts and natural language. In: Belohlavek, R., Klir, G.J. (eds.) Concepts and Fuzzy Logic. MIT Press (2011)

    Google Scholar 

  10. Hampton, J.A.: Conceptual combinations and fuzzy logic. In: Belohlavek, R., Klir, G.J. (eds.) Concepts and Fuzzy Logic. MIT Press (2011)

    Google Scholar 

  11. Jönsson, M.L., Hampton, J.A.: The inverse conjunction fallacy. Journal of Memory and Language 55(3), 317–334 (2006)

    Article  Google Scholar 

  12. Osherson, D.N., Smith, E.E.: On the adequacy of prototype theory as a theory of concepts. Cognition 9(1), 35–58 (1981)

    Article  Google Scholar 

  13. Rosch, E.: “slow lettuce”: categories, concepts, fuzzy sets, and logical deduction. In: Belohlavek, R., Klir, G.J. (eds.) Concepts and Fuzzy Logic. MIT Press (2011)

    Google Scholar 

  14. Rosch, E.: Neither concepts nor lotfi zadeh are fuzzy sets. In: Seising, R., Trillas, E., Moraga, C., Termini, S. (eds.) On Fuzziness. STUDFUZZ, vol. 299, pp. 591–596. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  15. Tabacchi, M.E., Termini, S.: Fuzziness and social life: informal notions, formal definitions. In: Proceedings of the Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS (2012)

    Google Scholar 

  16. Tabacchi, M.E., Termini, S.: Theory of computation, fuzziness and a physics of the immaterial. In: Ciucci, D., Montero, J., Pasi, G. (eds.) Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology. Advances in Intelligent Systems Research. European Society for Fuzzy Logic and Technology. Atlantis Press (2013)

    Google Scholar 

  17. Tabacchi, M.E., Termini, S.: Some reflections on fuzzy set theory as an experimental science. In: Laurent, A., Strauss, O., Bouchon-Meunier, B., Yager, R.R. (eds.) IPMU 2014, Part II. CCIS, vol. 443, pp. 546–555. Springer, Heidelberg (2014)

    Chapter  Google Scholar 

  18. Tabacchi, M.E., Termini, S.: Experimental modeling for a natural landing of fuzzy sets in new domains. In: Esteva, F., Magdalena, L., Verdegay, J.L. (eds.) Enric Trillas: Passion for Fuzzy Sets. STUDFUZZ, vol. 322, pp. 179–188. Springer, Heidelberg (2015)

    Chapter  Google Scholar 

  19. Termini, S., Tabacchi, M.E.: Fuzzy set theory as a methodological bridge between hard science and humanities. International Journal of Intelligent Systems 29(1), 104–117 (2014)

    Article  Google Scholar 

  20. Trillas, E.: On the use of words and fuzzy sets. Information Sciences 176(11), 1463–1487 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  21. Trillas, E., Alsina, C.: On the joint verification of modus ponens and modus tollens in fuzzy logic. In: Proceedings of the 2nd International Conference in Fuzzy Logic and Technology, Leicester, United Kingdom, September 5-7, pp. 257–260 (2001)

    Google Scholar 

  22. Trillas, E., Guadarrama, S.: What about fuzzy logic’s linguistic soundness? Fuzzy Sets and Systems 156(3), 334–340 (2005); 40th Anniversary of Fuzzy Sets

    Article  MATH  MathSciNet  Google Scholar 

  23. Turing, A.M.: Computing machinery and intelligence. Mind, 433–460 (1950)

    Google Scholar 

  24. Tversky, A., Kahneman, D.: Rational choice and the framing of decisions. Journal of Business, 251–278 (1986)

    Google Scholar 

  25. Verkuilen, J., Kievit, R.A., Scholten, A.Z.: Representing concepts by fuzzy sets. In: Belohlavek, R., Klir, G.J. (eds.) Concepts and Fuzzy Logic. MIT Press (2011)

    Google Scholar 

  26. Zadeh, L.A.: A note on prototype theory and fuzzy sets. Cognition 12(3), 291–297 (1982)

    Article  MathSciNet  Google Scholar 

  27. Zadeh, L.A.: Fuzzy logic = computing with words. IEEE Transactions on Fuzzy Systems 4(2), 103–111 (1996)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Tabacchi, M.E. (2015). In the Future Everyone Will Be a Fuzzy Set: Enric Trillas, FST as an Experimental Science and the Relationship with Theory of Concepts. In: Seising, R. (eds) Accuracy and Fuzziness. A Life in Science and Politics. Studies in Fuzziness and Soft Computing, vol 323. Springer, Cham. https://doi.org/10.1007/978-3-319-18606-1_14

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-18606-1_14

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-18605-4

  • Online ISBN: 978-3-319-18606-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics