A Multi-Objective Step Fixed-Charge Solid Transportation Problem under Triangular Neutrosophic Environment

Uncertainty is an inherent characteristic of real-world transportation systems, where parameters are often affected by incomplete information, data limitations, and indeterminacy. To address these challenges, this study proposes a Multi-Objective Step Fixed-Charge Solid Transportation Problem (MOSFCSTP) in a triangular neutrosophic environment. The model simultaneously considers three conflicting objectives, namely minimizing total transportation cost, transportation time, and deterioration rate, while representing uncertain parameters through triangular neutrosophic numbers. The proposed problem is initially formulated as a nonlinear multi-objective neutrosophic programming model. To obtain a tractable formulation, a linear weighted ranking index is employed to convert neutrosophic objective functions into deterministic forms, while neutrosophic inequalities are utilized to transform the corresponding constraints into crisp constraints. Several solution approaches, including fuzzy programming, intuitionistic fuzzy programming, neutrosophic programming, weighted goal programming, and weighted Tchebycheff metric programming, are applied to generate Pareto-efficient compromise solutions.

کلیدواژه ها:

Multi-objective solid transportation problem ، Step fixed charge transportation problem ، Triangular neutrosophic numbers ، Neutrosophic programming ، Pareto optimization