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A Tractable Subclass of Fuzzy Constraint Networks

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Book cover Computer Aided Systems Theory – EUROCAST 2005 (EUROCAST 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3643))

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Abstract

The Fuzzy Constraint Networks model, a generalization of the Disjunctive Temporal Fuzzy Constraint Networks, is a framework that allows representing and reasoning with fuzzy qualitative and quantitative complex constraints. However, its general complexity is exponential, and we need to find tractable subclasses. In this paper we propose two algorithms to deal with a tractable subclass named Series-Parallel Fuzzy Constraint Networks.

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References

  1. Bosch, A., Torres, M., Marín, R.: Reasoning with Disjunctive Fuzzy Temporal Constraint Networks. In: Proc. of 9th Int. Symposium on Temporal Representation and Reasoning (TIME 2002), pp. 36–43. IEEE Computer Society Press, Los Alamitos (2002)

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  2. Bosch, A., Guil, F., Martinez, C., Marín, R.: Series-Parallel and Tree-Decomposition Approaches for Fuzzy Constraint Networks. In: Garijo, F.J., Riquelme, J.-C., Toro, M. (eds.) IBERAMIA 2002. LNCS (LNAI), vol. 2527, pp. 275–284. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  3. Dechter, R., Meiri, I., Pearl, J.: Temporal constraint networks. Artificial Intelligence 49, 61–95 (1991)

    Article  MATH  MathSciNet  Google Scholar 

  4. Dechter, R., Pearl, J.: Network-based heuristics for constraint-satisfaction problems. Artificial Intelligence 34, 1–38 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  5. Dubois, D., Prade, H.: Possibility Theory: An approach to computerized processing of uncertainty. Plenum Press, New York (1988)

    MATH  Google Scholar 

  6. Marin, R., Barro, S., Bosch, A., Mira, J.: Modeling time representation from a fuzzy perspective. Cybernetic & Systems 25(2), 207–215 (1994)

    Article  Google Scholar 

  7. Marín, R., Cardenas, M., Balsa, M., Sanchez, J.: Obtaining solutions in fuzzy constraint networks. Int. Journal of Approximate Reasoning 16, 261–288 (1997)

    Article  MATH  Google Scholar 

  8. Montanari, U.: Networks of constraints: fundamental properties and applications to picture processing. Information Science 7, 95–132 (1974)

    Article  MathSciNet  Google Scholar 

  9. Schwalb, E., Vila, L.: Temporal Constraints: A Survey. Constraints 3(2/3), 129–149 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  10. Wald, J.A., Colburn, C.J.: Steiner Trees, Partial 2-Trees and Minimum IFI Networks. Networks 13, 159–167 (1983)

    Article  MATH  MathSciNet  Google Scholar 

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Bosch, A., Guil, F., Marin, R. (2005). A Tractable Subclass of Fuzzy Constraint Networks. In: Moreno Díaz, R., Pichler, F., Quesada Arencibia, A. (eds) Computer Aided Systems Theory – EUROCAST 2005. EUROCAST 2005. Lecture Notes in Computer Science, vol 3643. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11556985_36

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  • DOI: https://doi.org/10.1007/11556985_36

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-29002-5

  • Online ISBN: 978-3-540-31829-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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