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Expected utility operators and possibilistic risk aversion. (English) Zbl 1269.91031
Summary: In this paper expected utility operators are introduced as an abstractization of some notions of possibilistic expected utility, already existing in the literature. A general theory of possibilistic risk aversion which encompasses the already existing treatments is developed. The possibilistic risk premium associated with a fuzzy number, a utility function, an expected utility operator and a weighting function is defined. An approximate calculation formula of possibilistic risk premium expressed in terms of Arrow-Pratt index and a possibilistic variance associated with an expected utility operator is obtained. In an abstract context a Pratt-type theorem is proved.

91B06 Decision theory
91B16 Utility theory
Full Text: DOI
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