S. Niroomand - Department of Industrial Engineering, Firouzabad Institute of Higher Education, Firouzabad, Fars, Iran

A fractional minimal cost flow problem under linear type belief degree based uncertainty is studied for the first time. This type of uncertainty is useful when no historical information of an uncertain event is available. The problem is crisped using an uncertain chance-constrained programming approach and its non-linear objective function is linearized by a variable changing approach. An illustrative example is solved to prove the efficiency of the proposed formulation.

uncertainty theory, Belief degree, Fractional minimal cost flow problem, Chance-constrained programming