A Novel Approach for Solving Linear Programming Problems with Intuitionistic Fuzzy Numbers

The literature of linear programming problem with trapezoidal intuitionistic parameters is full of solution approaches which are mainly ranking function based. Use of ranking function in the solution approaches could be a weakness as different ranking functions mag give different solutions. This paper, proposes a new solution approach without any ranking function for linear programming problem with trapezoidal intuitionistic parameters. For this aim, the trapezoidal intuitionistic fuzzy objective function is converted to a multi-objective function, and consequently, the problem is converted to a multi-objective crisp problem. As another contribution, in order to solve the obtained multi-objective problem for its efficient solutions, a new multi-objective optimization approach was developed and suited to the obtained multi-objective problem. The computational experiments of the study show the superiority of the proposed multi-objective optimization approach over the multi-objective optimization approaches of the literature.