Suggestion for the solving multiobjective transportation problem with interval cost

ABSTRACTClassical transportation problem interests transportating of a unique material from i to j . Inthe classical transportation problem, transportation cost from i to j are stable. But for realworld, in transportation problem, unit costs of material which are transported from i to j cannot be stable. According to market conditions, the costs should not be stable.In this thesis, multiobjective transportation problems whose objective functions have intervalcoefficients are investigated. The problem with the interval objective function is convertedinto a multiobjective problem using ?interval arithmetic? (Ishibuchi and Tanaka, 1990). Themembership functions of objective functions are found, and equalized them. Consequently, itis found a new constraint. The founded constraint is added to original problem and it is givena solution proposal.This method are applied to three dimensional transportation problem (solid problem) otherthan two dimensional transportation probem.Keywords: interval arithmetic, two dimensional transportation problem, three dimensionaltransportation problem, solid problem, membership functions