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The fuzzy linear programming (FLP) transportation problem is a useful tool for some civil engineering problems. It can deal with problems whose objective and constraints are not well-defined, or information on them is not precise. It considers that the objective and constraints are fuzzy sets in the space of alternatives and defines the decision set as the intersection of the two sets. The solution is the element of the decision set which has the maximum membership grade. This paper addresses the type of problems which are suited for fuzzy LP transportation modeling; examines the formulation of the model and characteristics of the solution; and presents an example of FLP transportation formulation for the earth moving problem during highway construction. The solution's sensitivity to the fuzziness of objective and information on the quantities of supply and demand is also analysed.
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Kikuchi et al. (1991) studied this question.
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