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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Alsina, C., Trillas, E.: On the symmetric difference of fuzzy sets. Fuzzy Sets and Systems 153(2), 181–194 (2005)
Alsina, C., Trillas, E.: On the difference of fuzzy sets. Int. J. Intell. Syst. 23(3), 355–363 (2008)
Bandler, W., Kohout, L.J.: Fuzzy power set and fuzzy implication operators. Fuzzy Sets and Systems 4, 13–30 (1980)
Belohlavek, R., Klir, G.J.: Concepts and fuzzy logic. MIT Press (2011)
Calegari, S., Ciucci, D.: Integrating fuzzy logic in ontologies. In: ICEIS (2), pp. 66–73 (2006)
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)
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)
Hampton, J.A.: Conceptual combination: Conjunction and negation of natural concepts. Memory and Cognition 25(6), 888–909 (1997)
Hampton, J.A.: Concepts and natural language. In: Belohlavek, R., Klir, G.J. (eds.) Concepts and Fuzzy Logic. MIT Press (2011)
Hampton, J.A.: Conceptual combinations and fuzzy logic. In: Belohlavek, R., Klir, G.J. (eds.) Concepts and Fuzzy Logic. MIT Press (2011)
Jönsson, M.L., Hampton, J.A.: The inverse conjunction fallacy. Journal of Memory and Language 55(3), 317–334 (2006)
Osherson, D.N., Smith, E.E.: On the adequacy of prototype theory as a theory of concepts. Cognition 9(1), 35–58 (1981)
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)
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)
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)
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)
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)
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)
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)
Trillas, E.: On the use of words and fuzzy sets. Information Sciences 176(11), 1463–1487 (2006)
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)
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
Turing, A.M.: Computing machinery and intelligence. Mind, 433–460 (1950)
Tversky, A., Kahneman, D.: Rational choice and the framing of decisions. Journal of Business, 251–278 (1986)
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)
Zadeh, L.A.: A note on prototype theory and fuzzy sets. Cognition 12(3), 291–297 (1982)
Zadeh, L.A.: Fuzzy logic = computing with words. IEEE Transactions on Fuzzy Systems 4(2), 103–111 (1996)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights 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)