Fuzzy-rough multi-objective product blending fixed-charge transportation problem with truck load constraints through transfer station

In this contribution, for the first time, an efficient model of multi-objective product blending fixed-charge transportation problem with truck load constraints through transfer station is formulated. Transfer inserts cost and type-I fixed-charge. Our aim to analyze extra that treats as type-II in designed required when amount items exceeds capacity vehicle fulfilling shipment by more than one trip. Type-II added other from station. We consider here important issue transporting raw materials different purity levels customers’ satisfaction. realistic point view, parameters are imprecise nature due existing several unpredictable factors. These factors apprehended incorporating fuzzy-rough environment on parameters. Expected-value operator utilized derive deterministic form data, experienced help fuzzy programming, neutrosophic linear programming global criteria method. Two numerical examples illustrated determine applicability proposed model.