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A fuzzy mathematics theory model based on the semiempirical quantum chemical parameters was proposed.We Used HMO(Hückel molecular orbital)or PMO(perturbation molecular orbital)to calculate the characteristic indexes of all carcinogenic active regions in the PAHs(polycyclic aromatic hydrocarbons)molecules by considering the functions of certain active regions and their synergistic effect.After the fuzzy set of carcinogenic PAHs was worked out,it was used to distinguish how strong the carcinogenicity of PAHs is.Comparing the results of carcinogenic activity deduced by mathematical model mentioned in this paper with those done by experiments,we found that the coincidence rate is 100%.