Fuzzy Frequency Response Function of a Composite Floor Subject to Uncertainty by Application of the Gad Algorithm

During the last decade, the application of fuzzy numbers in the civil engineering domain has evolved from small academic applications to large scale industrial cases. The most popular algorithm to perform the involved fuzzy calculations is the Transformation Method [1], although the application area of this method is limited by the requirement of monotonic input-output relationships on the one hand, and by the number of uncertain variables on the other hand: in case of non-monotonic input-output relationships, the Transformation Method may lead to an underestimation of the uncertainty on response variables, and the computational cost increases exponentially with the number of uncertain variables.