A novel multi-objective bi-level programming problem under intuitionistic fuzzy environment and its application in production planning problem

Abstract This paper presents an optimization method to solve a multi-objective model of bi-level linear programming problem with intuitionistic fuzzy coefficients. The idea is based on TOPSIS (technique for order preference by similarity ideal solution) method. multiple criteria that identifies satisfactory solution from given set alternatives the minimization distance point and maximization nadir simultaneously. A new in environment has been considered. first reduced conventional using accuracy function. Then modified proposed at both leader follower level where various linear/non-linear membership functions are used represent flexibility approach decision-makers (DMs). solved hierarchically, i.e., then feasible region extended relaxing decision variables controlled leader. obtain DMs levels. Finally, application production planning company presented. An illustrative numerical example also explain methodology defined this paper.