Neutrosophic Decision-Making in Eco-Friendly Logistics: A Case of Fractional Solid Transportation Optimization

Imagine solving a labyrinthine environmental maze: how to transport goods sustainably. This study focuses on an innovative approach to solving the challenge of environmentally friendly goods transportation within an endurable supply chain. It addresses the complex Fractional Solid Transportation Problem by integrating Neutrosophic Goal Programming techniques. This method efficiently deals with uncertain information in optimization, considering goals, constraints, and decision variables with varying degrees of truth, indeterminacy, and falsity. The primary aim is to optimize the distribution of goods to a green supplier, emphasizing fractional solid transportation. This problem arises in scenarios like resource distribution, supply chain management, and network flow optimization, all with a common goal of minimizing environmental impact. The proposed model effectively combines fractional solid transportation with Neutrosophic Goal Programming to manage conflicting objectives. The model incorporates real-world uncertainties through neutrosophic sets, allowing for a comprehensive representation of conflicting goals. Weight factors are introduced to prioritize objectives, enabling decision-makers to tailor trade-offs between different goals. Neutrosophic Goal Programming utilizes these weights to balance goals and constraints considering varying degrees of truth and uncertainty, guiding the optimization process effectively. Numerical experiments demonstrate the model's efficacy in handling the complexities of the fractional solid transportation problem, aiding sustainable decision-making in supply chain management. Unveil the treasure map of optimization, where each solution is a piece waiting to be placed, and the ranking approach is the compass guiding us to the best optimal solution. Furthermore, it can be implemented with optimization software such as Lingo 18, which provides a powerful computational tool to make these eco-friendly logistics a reality and effectively prioritize eco-conscious decision-making. This innovative approach could revolutionize eco-friendly logistics, offering a strategic method to transport goods sustainably while adhering to environmentally conscious principles.