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A Few Remarks on the Roots of Fuzziness Measures

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Advances in Computational Intelligence (IPMU 2012)

Abstract

In the forty years from the introduction of Fuzzy Entropy, fuzziness measures has been employed in many different fields pertaining both hard and soft sciences, from medicine to art, from engineering to linguistics. If we look back at the road traveled, we can safely state that on of the main reasons for this enduring presence, and maybe the most underrated, is the truly uniqueness of the concept of fuzziness. Far from a reminiscence, this consideration is more of a projection on the future of fuzziness: we strongly believe that the innovation implicit in the concept, while having sometime hindered in the past its perception as a powerful paradigm and tool for the hard science community, will maintain fuzziness measures topical and relevant. New developments of Fuzzy Sets Theory such as Computing with Words, will need new ways of measuring, and new fuzzy measures.

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References

  1. De Luca, A., Termini, S.: A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory. Information and Control 20(4), 301–312 (1972)

    Article  MathSciNet  MATH  Google Scholar 

  2. Wang, Z., Klir, G.J.: Fuzzy measure theory. Plenum Press (1992)

    Google Scholar 

  3. Cardaci, M., Di Gesu, V., Petrou, M., Tabacchi, M.E.: A fuzzy approach to the evaluation of image complexity. Fuzzy Sets Syst. 160(10) (2009)

    Google Scholar 

  4. Carmeci, F., Tabacchi, M.E.: La Stima Temporale come Misura della Complessità Percettiva di Combinazioni di Stimoli Visivi-Uditivi. In: Atti del Quarto Convegno Nazionale Dell’Associazione Italiana Scienze Cognitive (2007)

    Google Scholar 

  5. 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 

  6. Tabacchi, M.E., Termini, S.: Measures of Fuzziness and Information: some challenges from reflections on aesthetic experience. In: Proceedings of WConSC 2011 (2011)

    Google Scholar 

  7. Birkhoff, G.: Aesthetic Measures. Kessinger Publishing Co. (1993)

    Google Scholar 

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

    Google Scholar 

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© 2012 Springer-Verlag Berlin Heidelberg

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Tabacchi, M.E., Termini, S. (2012). A Few Remarks on the Roots of Fuzziness Measures. In: Greco, S., Bouchon-Meunier, B., Coletti, G., Fedrizzi, M., Matarazzo, B., Yager, R.R. (eds) Advances in Computational Intelligence. IPMU 2012. Communications in Computer and Information Science, vol 298. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31715-6_8

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  • DOI: https://doi.org/10.1007/978-3-642-31715-6_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31714-9

  • Online ISBN: 978-3-642-31715-6

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