This paper exhibits a novel approach for solving fully intuitionistic fuzzy multi-objective
fractional transportation problem (FIF-MOFTP). Because of the change of market policies, we
expect that the transportation cost, the shipped quantity, the source, and the destination parameters
are not generally exact. In this paper, a theorem which demonstrate that FIF-MOFTP is ever solvable
was presented. In our approach, the problem is converted into a linear one based on some
transformations. Then the linearized model is reduced to a crisp multi-objective transportation
problem utilizing the accuracy function for each objective. Moreover, various theorems that set
up the relation among the FIF-MOFTP and its equivalent crisp model using linear, hyperbolic,
and parabolic membership functions are also proofed. To approve the proposed approach, a
numerical example is incorporated. Deductions and future exploration of this paper are depicted
at end.