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Probabilistic Correlation Coefficients for Possibility Distributions

Robert Fullér, A. István Harmati, Péter Várlaki, Probabilistic Correlation Coefficients for Possibility Distributions . In: Liberios Vokorokos, János Fodor (Eds.), Proceedings of the 15th IEEE International Conference on Intelligent Engineering Systems (INES), 153-158, IEEE Computer Society Press, 2011.

http://dx.doi.org/10.1109/INES.2011.5954737

Abstract:

The goal of this paper to introduce two alternative definitions for the possibilistic correlation coefficient by equipping the level sets of a joint possibility distribution with nonuniform probability distributions which are directly derived from the shape function of the joint possibility distribution. We also show some examples for their exact calculation for joint possibility distributions defined by Mamdani, Łukasiewicz and Larsen triangular norms.

BibTeX entry:

@INPROCEEDINGS{inpFuHaV,
  title = {Probabilistic Correlation Coefficients for Possibility Distributions },
  booktitle = {Proceedings of the 15th IEEE International Conference on Intelligent Engineering Systems (INES)},
  author = {Fullér, Robert and Harmati, A. István and Várlaki, Péter},
  editor = {Vokorokos, Liberios and Fodor, János},
  publisher = {IEEE Computer Society Press},
  pages = {153-158},
  year = {2011},
  keywords = {Possibility distribution; correlation coefficient},
}

Belongs to TUCS Research Unit(s): Institute for Advanced Management Systems Research (IAMSR)

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