Citation:

Wajahat Ali, Shakeel Javaid. "Enhancing Fermatean Fuzzy Transportation Problems: An Innovative Score Function-Based Optimization Strategy" International Research Journal of Economics and Management Studies, Vol. 2, No. 4, pp. 546-558, 2023.

Abstract:

This research paper introduces a novel approach for optimizing Fermatean fuzzy transportation problems (FFTP) by integrating a unique score function. Fermatean fuzzy numbers (FFN), known for their ability to represent uncertainty, pose challenges in transportation optimization. The proposed score function addresses these challenges by providing a comprehensive evaluation metric. We developed a traditional transportation problem (TP) model with a fermatean fuzzy environment (FFE) and, utilizing a new score function, transformed it into the deterministic form. Then, using the expected value technique, we created a new multiobjective, multi-level solid transportation model (MOMLST) using FFE and translated it into crisp form. Again, develop a multiobjective, multi-level solid transportation problem with fermatean fuzzy parameters (MOMLSTPWFF). It cannot be directly optimized because the fermatean fuzzy parameters (FFP) exist in levels of objective functions and are subject to constraints. However, we will follow the new score function in FFE and convert the mathematical model into crisp form. The numerical example is also provided to justify the convenience of the MOMLSTPWFF mathematical model and find a TP strategy that is best for our proposed mathematical model.

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Keywords:

Fermatean Fuzzy Transportation Problems, Optimization, New Score Function, Uncertainty Modeling, Multiobjective Optimization.