We introduce a formal description of the Target-Based Approach to utility theory for the case of n > 1 attributes and point out the connections with aggregation-based extensions of capacities. Our discussion provides economic interpretations of different concepts of the theory of fuzzy measures. In particular, we analyze the meaning of extensions of capacities based on n-dimensional copulas. The latter describes stochastic dependence for random vectors of interest in the problem. We also trace the connections between the case of {0, 1}-valued capacities and the analysis of "coherent" reliability systems. © 2014 Elsevier B.V. All rights reserved.

Multi-attribute target-based utilities and extensions of fuzzy measures / Fabio, Fantozzi; Spizzichino, Fabio. - In: FUZZY SETS AND SYSTEMS. - ISSN 0165-0114. - STAMPA. - 259(2015), pp. 29-43. [10.1016/j.fss.2014.04.027]

Multi-attribute target-based utilities and extensions of fuzzy measures

SPIZZICHINO, Fabio
2015

Abstract

We introduce a formal description of the Target-Based Approach to utility theory for the case of n > 1 attributes and point out the connections with aggregation-based extensions of capacities. Our discussion provides economic interpretations of different concepts of the theory of fuzzy measures. In particular, we analyze the meaning of extensions of capacities based on n-dimensional copulas. The latter describes stochastic dependence for random vectors of interest in the problem. We also trace the connections between the case of {0, 1}-valued capacities and the analysis of "coherent" reliability systems. © 2014 Elsevier B.V. All rights reserved.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11573/556811
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