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Expected Value, Variance, Covariance and Correlation of Possibility Distributions

Christer Carlsson, Robert Fullér, Péter Majlender, Expected Value, Variance, Covariance and Correlation of Possibility Distributions. In: Cybernetics and Systems '2004, Proceedings of the Sixteenth European Meeting on Cybernetics and Systems Research, 470-474, Austrian Society for Cybernetic Studies, 2004.

Abstract:

In 2001 Carlsson and Full\'er \cite{Car01} introduced the
possibilistic mean value, variance and covariance
of fuzzy numbers.
In 2003 Full\'er and Majlender \cite{Ful03}
introduced the notations
of crisp weighted possibilistic
mean value, variance and covariance of fuzzy numbers,
which are consistent with
the extension principle. In 2003 Carlsson, Full\'er
and Majlender \cite{Car03} proved the possibilistic
Cauchy-Schwartz inequality.
Drawing heavily on \cite{Car01,Car03,Car04,Ful03,Ful04} we
will summarize some normative properties of
possibility distributions.

BibTeX entry:

@INPROCEEDINGS{inpCaFuMa04c,
  title = {Expected Value, Variance, Covariance and Correlation of Possibility Distributions},
  booktitle = {Cybernetics and Systems '2004,  Proceedings of the Sixteenth European Meeting on Cybernetics and Systems Research},
  author = {Carlsson, Christer and Fullér, Robert and Majlender, Péter},
  publisher = {Austrian Society for Cybernetic Studies},
  pages = {470-474},
  year = {2004},
}

Belongs to TUCS Research Unit(s): Other

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