book chapter · Frontiers in artificial intelligence and applications · 2010

Majority Merging: from Boolean Spaces to Affine Spaces

Jean-François Condotta, Souhila Kaci, Pierre Marquis, Nicolas Schwind

Cited by 3Abstract and details only

Abstract

This paper is centered on the problem of merging (possibly conflicting) information coming from different sources. Though this problem has attracted much attention in propositional settings, propositional languages remain typically not expressive enough for a number of applications, especially when spatial information must be dealt with. In order to fill the gap, we consider a (limited) first-order logical setting, expressive enough for representing and reasoning about information modeled as half-spaces from metric affine spaces. In this setting, we define a family of distance-based majority merging operators which includes the propositional majority operator &Delta;dH,&Sigma;. We identify a subclass of interpretations of our representation language for which the result of the merging process can be computed and expressed as a formula.

Cite this paper

APA 7

Condotta, J.-F., Kaci, S., Marquis, P., & Schwind, N. (2010). Majority Merging: from Boolean Spaces to Affine Spaces. Frontiers in artificial intelligence and applications. https://doi.org/10.3233/978-1-60750-606-5-627

MLA 9

Condotta, Jean-François, et al. “Majority Merging: from Boolean Spaces to Affine Spaces.” Frontiers in artificial intelligence and applications, 2010, https://doi.org/10.3233/978-1-60750-606-5-627.

Chicago

Condotta, Jean-François, Souhila Kaci, Pierre Marquis, and Nicolas Schwind. 2010. “Majority Merging: from Boolean Spaces to Affine Spaces.” Frontiers in artificial intelligence and applications. https://doi.org/10.3233/978-1-60750-606-5-627.

Harvard

Condotta, J.-F. et al. (2010) ‘Majority Merging: from Boolean Spaces to Affine Spaces’, Frontiers in artificial intelligence and applications. Available at: https://doi.org/10.3233/978-1-60750-606-5-627.

BibTeX

@incollection{condotta2010majority,
  title = {{Majority Merging: from Boolean Spaces to Affine Spaces}},
  author = {Condotta, Jean-François and Kaci, Souhila and Marquis, Pierre and Schwind, Nicolas},
  booktitle = {Frontiers in artificial intelligence and applications},
  year = {2010},
  doi = {10.3233/978-1-60750-606-5-627}
}

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