Iterative Goal Programming Approach for Solving Multi-objective Intuitionistic Fuzzy Linear Programming Problem

This paper presents an Iterative goal programming approach for solving Multi-objective Intuitionistic Fuzzy Linear Programming Problem (MOIFLPP). The MOIFLP problem involving aspiration level and the right hand side constraints are trapezoidal intuitionistic fuzzy number (TIFN). The concept of ∝-cut of IFN is used to convert the TIFN into crisp one. A solution algorithm is proposed to solve the MOIFLPP and a numerical example is given in detail to explain the solution procedure. Furthermore, the proposed method is easy to apply in real-life situations which give more accurate solution in the sense that the objective values are sufficiently closer to the aspiration levels. Finally, a real life example is used and a compromise solution is found out to satisfy the decision maker.