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Sugeno Integral on Property-Based Preference Domains

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Book cover Advances in Fuzzy Logic and Technology 2017 (EUSFLAT 2017, IWIFSGN 2017)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 641))

Abstract

We consider decision problems in which we have to compare and rank a set of alternatives and each alternative is defined by its attributes or properties. We introduce and characterize property-based preference domains. This paper proposes also a characterization and a generalization of Sugeno integral in our framework.

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References

  1. Cardin, M.: Benchmarking over distributive lattices. Commun. Comput. Inf. Sci. 610, 117–125 (2016)

    Google Scholar 

  2. Caspard, N., Leclerc, B., Monjardet, B.: Finite Ordered Sets. Encyclopedia of Mathematics and Its Applications. Cambridge University Press, Cambridge (2012)

    MATH  Google Scholar 

  3. Couceiro, M., Marichal, J.-L.: Polynomial functions over bounded distributive lattices. J. Mult. Valued Log. Soft Comput. 18, 247–256 (2012)

    MathSciNet  MATH  Google Scholar 

  4. Couceiro M., Marichal J.L.: Characterizations of discrete Sugeno integrals as lattice polynomial functions. In: Proceedings of the 30th Linz Seminar on Fuzzy Set Theory, LINZ 2009, pp. 17–20 (2009)

    Google Scholar 

  5. Couceiro, M., Marichal, J.L.: Characterizations of discrete Sugeno integrals as polynomial functions over distributive lattices. Fuzzy Set Syst. 161, 694–707 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  6. Daniëls, T., Pacuit, E.: A general approach to aggregation problems. J. Log. Comput. 19(3), 517–536 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  7. Davey, B.A., Priestley, H.A.: Introduction to Lattices and Order. Cambridge University Press, New York (2002)

    Book  MATH  Google Scholar 

  8. Giacobazzi, R., Ranzato, F.: Some properties of complete congruences lattices. Algebra Univ. 40, 189–200 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  9. Gordon, S.: Unanimity in attribute-based preference domains. Soc. Choice Welf. 44, 13–29 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  10. Grabisch, M., Marichal, J.L., Mesiar, R., Pap, E.: Aggregation Functions. Encyclopedia of Mathematics and its Applications. Cambridge University Press, Cambridge (2009)

    Book  MATH  Google Scholar 

  11. Grätzer, G.: General Lattice Theory. Birkhäuser Verlag, Berlin (2003)

    MATH  Google Scholar 

  12. Hala\(\breve{s}\), R.: Congruences on posets. Contrib. Gen. Algebra 12, 195–210 (2000). Verlag

    Google Scholar 

  13. Hala\(\breve{s}\), R., Mesiar, R., Pócs, J.: A new characterization of the discrete Sugeno integral. Inform. Fusion 29, 84–86 (2016)

    Google Scholar 

  14. Hala\(\breve{s}\), R., Mesiar, R., Pócs, J.: Congruences and the discrete Sugeno integrals on bounded distributive lattices. Inf. Sci. 367, 443–448 (2016)

    Google Scholar 

  15. Leclerc, B., Monjardet, B.: Aggregation and residuation. Order 30, 261–268 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  16. List, C., Polak, B.: Introduction to judgment aggregation. J. Econ. Theory 145, 441–446 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  17. Monjardet, B.: Arrowian characterization of latticial federation consensus functions. Math. Soc. Sci. 20, 51–71 (1990)

    Article  MathSciNet  MATH  Google Scholar 

  18. Nehring, K., Puppe, C.: Abstract Arrowian aggregation. J. Econ. Theory 145, 467–494 (2010)

    Article  MathSciNet  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Economics, Università Ca’ Foscari, Venezia, Italy

    Marta Cardin

Authors
  1. Marta Cardin
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Correspondence to Marta Cardin .

Editor information

Editors and Affiliations

  1. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

  2. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Eulalia Szmidt

  3. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Sławomir Zadrożny

  4. Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Krassimir T. Atanassov

  5. WIT - Warsaw School of Information Technology, Warsaw, Poland

    Maciej Krawczak

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Cardin, M. (2018). Sugeno Integral on Property-Based Preference Domains. In: Kacprzyk, J., Szmidt, E., Zadrożny, S., Atanassov, K., Krawczak, M. (eds) Advances in Fuzzy Logic and Technology 2017. EUSFLAT IWIFSGN 2017 2017. Advances in Intelligent Systems and Computing, vol 641. Springer, Cham. https://doi.org/10.1007/978-3-319-66830-7_36

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  • DOI: https://doi.org/10.1007/978-3-319-66830-7_36

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-66829-1

  • Online ISBN: 978-3-319-66830-7

  • eBook Packages: EngineeringEngineering (R0)

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