Fuzzy calculus, as a fuzzy counterpart of stochastic calculus, includes Liu integral and Liu formula. Since it is difficult to calculate Liu integral when the integrand function is unbounded on common interval, fuzzy integral of unbounded function is taken into consideration. In this paper, the definition of generalized Liu integral of unbounded function is given. Moreover, the properties of these types of generalized fuzzy integrals are obtained.

fuzzy variable, fuzzy process, Liu process, generalized fuzzy integral.