Membership function of the dummy demand region in the fuzzy transportation model
1997
Kasahara, K. (Tottori Univ. (Japan). Faculty of Agriculture) | Sembokuya, Y. | Song, J.
In this paper we attempt to show the setting method of the fuzzy membership function of the dummy demand region in the fuzzy transportation model. A general linear transportation model is a very special formural model, that is, the simplex table is made of only 1 or 0 coefficients. Therefore, a calculated optimal solution does not include errors in the least. Also, the fuzzy linear programming is a very useful mathematical method, because it can handle a fuzzy restriction for the demand quantity or a supply quantity. So, the fuzzy transportation model has both properties of the transportation model and the fuzzy linear programming model. But if the total demand quantity is no equal to the total supply quantity, we must set into the model the dummy region. We tried to settle a linear membership function into the dummy demand region. We could get a useful solution for the linear membership function of the dummy demand region by an appropriate membership function
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