Multiobjective transportation problem with interval cost, source and destination parameters

Multiobjective transportation problem with interval cost, source and destination parameters

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Article ID: iaor20002431
Country: Netherlands
Volume: 117
Issue: 1
Start Page Number: 100
End Page Number: 112
Publication Date: Aug 1999
Journal: European Journal of Operational Research
Authors: , ,
Keywords: fuzzy sets, programming: transportation
Abstract:

In this paper, we focus on the solution procedure of the multiobjective transportation problem (MOTP) where the cost coefficients of the objective functions, and the source and destination parameters have been expressed as interval values by the decision maker. This problem has been transformed into a classical MOTP where to minimize the interval objective function, the order relations that represent the decision maker's preference between interval profits have been defined by the right limit, left limit, centre, and half-width of an interval. The constraints with interval source and destination parameters have been converted into deterministic ones. Finally, the equivalent transformed problem has been solved by fuzzy programming technique. Numerical examples have been provided to illustrate the solution procedure for three possible cases of the original problem.

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