PURCHASE NEGOTIATIONS USING FUZZY LINEAR PROGRAMMING: THE OPTIMUM WITHIN OPTIMALITY

This paper presents a fuzzy optimization approach for the allocation of gas detectors in chemical plants. In this context, gas sensors designed for explosive atmospheres are to be purchased. Quite often, the studies integrate computational fluid dynamics (CFD), classical linear programming, and sensor placement optimisation to identify cost-effective solutions. The proposed fuzzy linear programming method, in this research, enhances decisionmaking by addressing parameter uncertainty and variability, guiding engineers toward more robust solutions within the optimal set. By incorporating a fuzzy modeling framework capable of handling imprecision, the method provides greater flexibility in real-world decision contexts. Using classical linear programming, the optimal solution resulted in the purchase of 20 sensors at a total cost of R$137,777. In contrast, the fuzzy linear programming approach recommended 21 sensors at a significantly lower total cost of R$108,539, demonstrating the potential benefits of incorporating uncertainty into the optimization process.