Abstract
Local soil amplification is one of the main phenomena contributing to local seismic hazard and consequently to local seismic risk. It is influenced both by randomness and by fuzziness. This paper offers a general fuzzy—random formulation, applicable to nonlinear soil amplification studies and hence to evaluations of local seismic hazard. The results obtainable by probabilistic analysis and also those arrived at using fuzzy analysis can be considered as consequences of particularizations of this formulation. The treatment is rendered explicit by adapting the response surface technique to the problem, as this is advantageous in terms of computational economy.
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