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Measuring Dissimilarity between Judgment Sets

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Logics in Artificial Intelligence (JELIA 2014)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8761))

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Abstract

Distances and scores are widely used to measure (dis)similarity between objects of information such as preferences, belief sets, judgment sets, etc. Typically, measures are directly imported from information theory or topology, with little consideration for adequacy in the context of comparing logically related information. We propose a set of desirable properties for measures used to aggregate (logically related) judgments, and show which of the measures used for this purpose satisfy them.

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References

  1. Baumeister, D., Erdélyi, G., Erdélyi, O.J., Rothe, J.: Computational aspects of manipulation and control in judgment aggregation. In: Perny, P., Pirlot, M., Tsoukiàs, A. (eds.) ADT 2013. LNCS, vol. 8176, pp. 71–85. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  2. Booth, R., Caminada, M., Podlaszewski, M., Rahwan, I.: Quantifying disagreement in argument-based reasoning. In: Proceedings of the 11th International Conference on Autonomous Agents and Multiagent Systems, AAMAS 2012, Richland, SC, pp. 493–500. International Foundation for Autonomous Agents and Multiagent Systems (2012)

    Google Scholar 

  3. Brandt, F., Conitzer, V., Endriss, U.: Computational social choice. In: Weiss, G. (ed.) Multiagent Systems, pp. 213–283. MIT Press (2013)

    Google Scholar 

  4. Caminada, M., Pigozzi, G.: On judgment aggregation in abstract argumentation. Autonomous Agents and Multi-Agent Systems 22(1), 64–102 (2011)

    Article  Google Scholar 

  5. Deza, M.M., Deza, E.: Encyclopedia of Distances. Springer (2009)

    Google Scholar 

  6. Dietrich, F.: Scoring rules for judgment aggregation. Social Choice and Welfare, 1–39 (2013)

    Google Scholar 

  7. Duddy, C., Piggins, A.: A measure of distance between judgment sets. Social Choice and Welfare 39(4), 855–867 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  8. Endriss, U., Grandi, U., Porello, D.: Complexity of judgment aggregation. Journal Artificial Intelligence Research (JAIR) 45, 481–514 (2012)

    MathSciNet  MATH  Google Scholar 

  9. Everaere, P., Konieczny, S., Marquis, P.: The strategy-proofness landscape of merging. Journal of Artificial Intelligence Research (JAIR) 28, 49–105 (2007)

    MATH  Google Scholar 

  10. Hamming, R.W.: Error detecting and error correcting codes. Bell System Technical Journal 29(2), 147–160 (1950)

    Article  MathSciNet  Google Scholar 

  11. Konieczny, S., Pino-Pérez, R.: Logic based merging. Journal of Philosophical Logic 40(2), 239–270 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  12. Lafage, C., Lang, J.: Propositional distances and compact preference representation. European Journal of Operational Research 160(3), 741–761 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  13. Lang, J., Slavkovik, M.: Judgment aggregation rules and voting rules. In: Perny, P., Pirlot, M., Tsoukiàs, A. (eds.) ADT 2013. LNCS, vol. 8176, pp. 230–243. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  14. Lang, J., Slavkovik, M., Vesic, S.: A weakening of independence in judgment aggregation: agenda separability (extended abstract). In: Schaub, T. (ed.) Proceedings of the 21st European Conference on Artificial Intelligence, page forthcoming (2014)

    Google Scholar 

  15. List, C., Puppe, C.: Judgment aggregation: A survey. In: Anand, P., Puppe, C., Pattanaik, P. (eds.) Oxford Handbook of Rational and Social Choice. Oxford (2009)

    Google Scholar 

  16. Miller, M.K., Osherson, D.: Methods for distance-based judgment aggregation. Social Choice and Welfare 32(4), 575–601 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  17. Pigozzi, G.: Belief merging and the discursive dilemma: an argument-based account to paradoxes of judgment aggregation. Synthese 152(2), 285–298 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  18. Slavkovik, M., Agotnes, T.: A judgment set similarity measure based on prime implicants. In: Proceedings of the 13th International Conference on Autonomous Agents and Multiagent Systems, AAMAS, page forthcoming (2013)

    Google Scholar 

  19. Slavkovik, M., Jamroga, W.: Distance-based rules for weighted judgment aggregation (extended abstract). In: Proceedings of AAMAS, pp. 1405–1406 (2012)

    Google Scholar 

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Author information

Authors and Affiliations

  1. University of Bergen, PB. 7802, 5020, Bergen, Norway

    Marija Slavkovik & Thomas Ågotnes

Authors
  1. Marija Slavkovik
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  2. Thomas Ågotnes
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Editor information

Editors and Affiliations

  1. University of Madeira, Funchal, Madeira, Portugal

    Eduardo Fermé

  2. CENTRIA, Universidade Nova de Lisboa, Caparica, Portugal

    João Leite

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© 2014 Springer International Publishing Switzerland

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Slavkovik, M., Ågotnes, T. (2014). Measuring Dissimilarity between Judgment Sets. In: Fermé, E., Leite, J. (eds) Logics in Artificial Intelligence. JELIA 2014. Lecture Notes in Computer Science(), vol 8761. Springer, Cham. https://doi.org/10.1007/978-3-319-11558-0_44

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  • DOI: https://doi.org/10.1007/978-3-319-11558-0_44

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-11557-3

  • Online ISBN: 978-3-319-11558-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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