A fuzzy approach to the multiobjective transportation problem

A fuzzy approach to the multiobjective transportation problem

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Article ID: iaor2001428
Country: United Kingdom
Volume: 27
Issue: 1
Start Page Number: 43
End Page Number: 57
Publication Date: Jan 2000
Journal: Computers and Operations Research
Authors: ,
Keywords: programming: multiple criteria, programming: transportation
Abstract:

The aim of this paper is to present a fuzzy compromise programming approach to multiobjective transportation problems. A characteristic feature of the approach proposed is that various objectives are synthetically considered with the marginal evaluation for individual objectives and the global evaluation for all objectives. The decision-maker's preference is taken into account by his/her assigning the weights of objectives. With the global evaluation for all objectives, a compromise programming model is formulated. This model covers a wide spectrum of methods with Zimmermann's fuzzy programming approach essentially equivalent to one of its special cases. Using ordinary optimization technique, we solve the fuzzy compromise programming model to obtain a non-dominated compromise solution at which the synthetic membership degree of the global evaluation for all objectives is maximum. A numerical example is given to demonstrate the efficiency of the proposed fuzzy compromise programming approach.

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