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But, What Is It Actually a Fuzzy Set?

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Soft Computing Based Optimization and Decision Models

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 360))

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Abstract

Supported in a new view of meaning as a quantity in whatever universe of discourse, and for its possible use concerning plain language and ordinary reasoning in ‘Computing with Words’, the paper deals with the basic concept of a fuzzy set. That is, not only with the collective a linguistic label generates in language, but also with what membership functions reflect on it once ideally seen as measures of meaning.

To Professor José Luis Verdegay, with deep affection for his academic work. Curro, thanks for the large friendship we jointly kept from so long ago!

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References

  1. Zadeh, L.A.: Fuzzy Sets. Inf. Control 8, 338–353 (1965)

    Article  MATH  Google Scholar 

  2. Quine, W.V.O.: Ontological Relativity and Other Essays. Columbia University Press, New York (1969)

    Google Scholar 

  3. Trillas, E.: On a model for the meaning of Predicates. In: Seising, R. (ed.) Views on Fuzzy Sets and Systems from Different Perspectives, pp. 175–205. Springer, Berlin (2009)

    Chapter  Google Scholar 

  4. Halmos, P.R.: Naive Set Theory. Van Nostrand, New York (1960)

    MATH  Google Scholar 

  5. Trillas, E., Urtubey, L.A.: Towards the dissolution of the sorites paradox. J. Appl. Soft Comput. 11(2), 1506–1510 (2011)

    Article  Google Scholar 

  6. Trillas, E., Eciolaza, L.: Fuzzy logic. An Introductory Course for Engineers. Springer, Berlin (2015)

    Google Scholar 

  7. Wittgenstein, L.: Philosophical Investigations. Basil Blackwell, London (1958)

    MATH  Google Scholar 

  8. Trillas, E.: On a Model for the meaning of predicates. In: Seising, R. (ed.) Views of Fuzzy Sets and Systems from Different Perspectives pp. 175–2005. Springer, Berlin (2009)

    Google Scholar 

  9. Sugeno, M.: Theory of fuzzy integrals and its applications. Ph.D. Tokyo Institute of Technology, Tokyo (1974)

    Google Scholar 

  10. de Luca, A., Termini, S.: A definition of a non-probabilistic entropy in the setting of fuzzy sets theory. Inf. Control 20, 301–312 (1972)

    Article  MATH  Google Scholar 

  11. Lord Kelvin, W.T.: Lecture on electrical units of measurement; popular lectures and addresses, I/79. Mc Millan, London (1889)

    Google Scholar 

  12. Castro, J.L., Delgado, M.: Fuzzy systems with defuzzification are universal approximators. IEEE Trans. Syst. Man Cybern. 26, 149–152 (1996)

    Article  Google Scholar 

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Authors and Affiliations

  1. University of Oviedo, Asturias, Spain

    Enric Trillas

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  1. Enric Trillas
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Correspondence to Enric Trillas .

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Editors and Affiliations

  1. Department of Computer Science and A.I. Higher Technical School of Information Technology and Telecommunications Engineering, University of Granada, Granada, Spain

    David A. Pelta

  2. Department of Computer Science and A.I. Higher Technical School of Information Technology and Telecommunications Engineering, University of Granada , Granada, Spain

    Carlos Cruz Corona

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Trillas, E. (2018). But, What Is It Actually a Fuzzy Set?. In: Pelta, D., Cruz Corona, C. (eds) Soft Computing Based Optimization and Decision Models. Studies in Fuzziness and Soft Computing, vol 360. Springer, Cham. https://doi.org/10.1007/978-3-319-64286-4_12

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  • DOI: https://doi.org/10.1007/978-3-319-64286-4_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-64285-7

  • Online ISBN: 978-3-319-64286-4

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