BABAK KHABIRI - Department of Mathematics, Islamic Azad University, Jouybar Branch, Jouybar, Iran
MOHABAT GHANNADZADEH - Department of Mathematics, Babol Noshirvani University of Technology, Babol, Iran

We focus on consider a ‎multi-objective‎ ‎‎cost ‎flow ‎problem where there are several commodities to transport from‎ sources ‎to ‎destination‎s and there is more than one conveyance for those transporting. In the studied model, we assume that in each conveyance, there are distinct capacities for each commodity. The obtained model is not necessarily balanced and hence we introduce a method to solve this model without converting it to a balanced model.

Fuzzy multi-objective solid cost flow problem, fuzzy number, network ‎flow ‎problem