Fateme Kouchakinejad - Ph. D. student, Department of Mathematics, Graduate University of Advanced Technology, Kerman, Iran,
Esmaile Khorram - Academic member, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology, Tehran, Iran,
Mashaalah Mashinchi - Academic member, Department of Statistics, Faculty of Mathematics and Computer Sciences, Shahid Bahonar University, Kerman, Iran,

A fully intuitionistic fuzzy linear programming problem with trapezoidal intuitionistic fuzzy parameters is considered. Using arithmetic operators and Nehi‘s ranking for intuitionistic fuzzy numbers, the problem is converted to its equivalent multi-objective linear programming problem and then it is solved. By a theorem it is shown that the optimal solution of multi-objective linear programming problem can be considered as an optimal solution of the fully intuitionistic fuzzy linear programming problem.

Intuitionistic fuzzy linear programming problem, Intuitionistic Fuzzy trapezoidal number, Ranking function