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A Normative View on Possibility Distributions

Christer Carlsson, Robert Fullér, Péter Majlender, A Normative View on Possibility Distributions. In: Lotfi A. Zadeh Masoud Nikravesh, Victor Korotkikh (Eds.), Fuzzy Partial Differential Equations and Relational Equations: Reservoir Characterization and Modeling, Studies in Fuzziness and Soft Computing Series 142, 186-205, Springer Verlag, 2004.

Abstract:

In this paper we will consider fuzzy numbers from a normative
point of view and will illustrate the
concepts of possibilistic mean value,
covariance, variance and correlation by several examples.
We will show that
zero correlation does not always imply
non-interactivity. We will also discuss the limitations
of direct definitions of
joint possibility distributions (for example,
when one simple aggregates
the membership values of two fuzzy numbers by a
triangular norm).

BibTeX entry:

@INPROCEEDINGS{inpCaFuMa04a,
  title = {A Normative View on Possibility Distributions},
  booktitle = {Fuzzy Partial Differential Equations and Relational Equations: Reservoir Characterization and Modeling},
  author = {Carlsson, Christer and Fullér, Robert and Majlender, Péter},
  volume = {142},
  series = {Studies in Fuzziness and Soft Computing Series},
  editor = {Masoud Nikravesh, Lotfi A. Zadeh and Victor Korotkikh},
  publisher = {Springer Verlag},
  pages = {186-205},
  year = {2004},
}

Belongs to TUCS Research Unit(s): Other

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