A short survey of normative properties of possibility distributions

Fullér, Róbert and Majlender, Péter (2003) A short survey of normative properties of possibility distributions. In: Principles of Fuzzy Preference Modelling and Decision Making. Academia Press, Gent, pp. 183-193. ISBN 90-382-0567-8

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Abstract

In 2001 Carlsson and Full´er [1] introduced the possibilistic mean value, variance and covariance of fuzzy numbers. In 2003 Full´er and Majlender [4] 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 [2] proved the possibilisticCauc hy-Schwartz inequality. Drawing heavily on [1, 2, 3, 4, 5] we will summarize some normative properties of possibility distributions.

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