Abstract
The transportation problems have a recognized importance. Their range of applications can be enlarged when some fuzziness in its formulation is accepted. This paper is devoted to the study of a resolution method for fuzzy transportation problems. In order that this may be done, in accordance with the decomposition theorem for fuzzy sets, a formulation as the transshipment problems cut by cut is done. Feasibility or un-feasibility of the former fuzzy problem is analyzed on these cuts by means of four functions. These are straightforwardly defined from the membership functions of the fuzzy parameters involved in the starting formulation. In order to find a fuzzy solution using an auxiliary problem, a parametric type algorithm is proposed. This one is shown to be more efficient than others existing in the current literature because of the lower dimensionality of the mentioned auxiliary problem.
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© 1987 Springer Science+Business Media Dordrecht
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Delgado, M., Verdegay, J.L., Vila, M.A. (1987). Fuzzy Transportation Problems: A General Analysis. In: Kacprzyk, J., Orlovski, S.A. (eds) Optimization Models Using Fuzzy Sets and Possibility Theory. Theory and Decision Library, vol 4. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3869-4_23
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DOI: https://doi.org/10.1007/978-94-009-3869-4_23
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