Multi-attribute target-based utilities and extensions of fuzzy measures
We introduce a formal description of the Target-Based Approach to utility theory for the case of n>1 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} { 0 , 1 } -valued capacities and the analysis of coherent reliability systems.
copulas stochastic dependence decision analysis mbius transform owen extension lovsz extension reliability-structured utilities correlation aversion