A New Approach for Solving Bi-Level Multi-Objective Non-Linear Programming Model under Neutrosophic Environment

Abstract

Multi-level programming problems (MLPPs) are considered very large decentralized decision problems, occur in hierarchical decision-making organizations where a decision maker (DM) is present at each decision-making level and is assigned the task of optimizing one or more objective functions. In this paper, a new computational algorithm using neutrosophic technique to solve bi-level multi-objective non-linear programming (BL-MONLP) problem is presented. Neutrosophic set theory is played an important role for dealing the inaccuracy and complexity of data found in solving real life problems. We compared also the performance of the optimal solution between fuzzy and neutrosophic optimization techniques through numerical example which has demonstrated the evolved algorithm.

Keywords

• multi-level programming with multiple objectives
• non-linear programming problems
• fuzzy programming; neutrosophtic set
• satisfactory solution