Abstract: Based on the fuzzy logic present in analytical chemistry,a mathematical model of Beer′s law for the rapid multi component photometric determination was established by applying the fuzzy mathematical theory.The determination of Zn,Cd,Pb,Ag,Hg,Tl,Co,Cu,Bi and Ni in water samples by the dithizone-CCl4 extraction photometry was taken as an illustration in the experiments.It was stated that the supposing of bound tactics set and correction of analytical data (either photometry,AAS or ICP-AES methods) are very importment in the mathematical treatment.