This paper is devoted to a modem approach for solving type-2 duality fuzzy fractional transportation problem by using interval-valued trapezoidal intuitionistic fuzzy numbers using goal programming technique. The proposed method solves three types of models in which variables are taken to be type-2 fuzzy variables which have given rise to a fuzzy fractional transportation problem. In these models, duality is applied and a special type of non-linear (hyperbolic) membership functions are used to solve duality fractional transportation problem with fuzzy parameters. The computational process is carried out by program solving software called Tingo. A numerical example for inspecting the execution of the proposed model is inclined here.
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