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International Conference on Modeling Decisions for Artificial Intelligence

MDAI 2010: Modeling Decisions for Artificial Intelligence pp 91–103Cite as

Sugeno Utility Functions II: Factorizations

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6408))

Abstract

In this paper we address and solve the problem posed in the companion paper [3] of factorizing an overall utility function as a composition q(ϕ 1(x 1),...,ϕ n (x n )) of a Sugeno integral q with local utility functions ϕ i , if such a factorization exists.

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References

  1. Bouyssou, D., Dubois, D., Prade, H., Pirlot, M. (eds.): Decision-Making Process - Concepts and Methods. ISTE/John Wiley (2009)

    Google Scholar 

  2. Couceiro, M., Marichal, J.-L.: Polynomial functions over bounded distributive lattices. Journal of Multiple-Valued Logic and Soft Computing (to appear), http://arxiv.org/abs/0901.4888

  3. Couceiro, M., Waldhauser, T.: Sugeno utility functions I: Axiomatizations. In: Torra, V., Narukawa, Y., Daumas, M. (eds.) MDAI 2010. LNCS (LNAI), vol. 6408, pp. 79–90. Springer, Heidelberg (2010)

    Google Scholar 

  4. Dubois, D., Marichal, J.-L., Prade, H., Roubens, M., Sabbadin, R.: The Use of the Discrete Sugeno Integral in Decision-Making: a Survey. Internat. J. Uncertain. Fuzziness Knowledge-Based Systems 9(5), 539–561 (2001)

    MathSciNet  MATH  Google Scholar 

  5. Goodstein, R.L.: The Solution of Equations in a Lattice. Proc. Roy. Soc. Edinburgh Sect. A 67, 231–242 (1965/1967)

    MathSciNet  MATH  Google Scholar 

  6. Grabisch, M.: The application of fuzzy integrals in multicriteria decision making. Eur. J. Oper. Res. 89(3), 445–456 (1996)

    Google Scholar 

  7. 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 

  8. Marichal, J.-L.: On Sugeno integral as an aggregation function. Fuzzy Sets and Systems 114, 347–365 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  9. Marichal, J.-L.: Weighted lattice polynomials. Discrete Mathematics 309(4), 814–820 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  10. Sugeno, M.: Theory of Fuzzy Integrals and its Applications. PhD thesis, Tokyo Institute of Technology, Tokyo (1974)

    Google Scholar 

  11. Sugeno, M.: Fuzzy Measures and Fuzzy Integrals–a Survey. In: Gupta, M.M., Saridis, G.N., Gaines, B.R. (eds.) Fuzzy Automata and Decision Processes, pp. 89–102. North-Holland, New York (1977)

    Google Scholar 

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Author information

Authors and Affiliations

  1. University of Luxembourg, 6, rue Richard Coudenhove-Kalergi, L-1359, Luxembourg

    Miguel Couceiro & Tamás Waldhauser

  2. Bolyai Institute, University of Szeged, Aradi vértanúk tere 1, H-6720, Szeged, Hungary

    Tamás Waldhauser

Authors
  1. Miguel Couceiro
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  2. Tamás Waldhauser
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Editor information

Editors and Affiliations

  1. IIIA-CSIC, Campus UAB s/n, 08193, Bellaterra, Catalonia, Spain

    Vicenç Torra

  2. Toho Gakuen, 3-1-10 Naka, Kunitachi, 186-0004, Tokyo, Japan

    Yasuo Narukawa

  3. Université de Perpignan, Tecnosud, Rambla de la thermodynamique, 66100, Perpignan, France

    Marc Daumas

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Couceiro, M., Waldhauser, T. (2010). Sugeno Utility Functions II: Factorizations. In: Torra, V., Narukawa, Y., Daumas, M. (eds) Modeling Decisions for Artificial Intelligence. MDAI 2010. Lecture Notes in Computer Science(), vol 6408. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16292-3_11

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  • DOI: https://doi.org/10.1007/978-3-642-16292-3_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-16291-6

  • Online ISBN: 978-3-642-16292-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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