Based on the fuzzy theory

the identification algorithm for the concrete thermal parameters was proposed according to observed temperatures inner concrete. The objective function of the fuzzy optimization was presented with the statistical characters of observed temperatures. The inverse problem is formulated as a nonlinear optimization problem

which is then solved by using BFGS method. The statistical characters of identified parameters were investigated because the observed data were uncertainty. The numerical computation shows that the proposed method is able to identify efficiently the concrete thermal parameters while the measurement errors of temperatures are considered.