An Interactive Model for Fully Fuzzy Multi-level Linear Programming Problem based on Multi-objective Linear Programming Technique

An interactive approach is proposed to find the optimal fuzzy solution of fully fuzzy multi-level linear programming (FFMLLP) problem. Firstly, convert the problem under consideration into non-fuzzy multi-level multi-objective linear programming (MLMOLP) problem by using the bound and decomposition method. Secondly, simplify the MLMOLP problem by transforming it into separate multi-objective decision-making problems with hierarchical structure, and solving it by using ε-constraint method. The main results obtained in this paper will be explained by an illustrative numerical example. Finally, compare the proposed approach for solving FFMLLP with The result found in O. Emam et al. [21] to show its effectiveness.