Abstract
In this chapter, fuzzy dual numbers and probabilities as well as fuzzy dual entropy are introduced. The classical entropy maximization approach for trip distribution prediction in transportation networks is reviewed and a new formulation is proposed using the fuzzy dual formalism. This leads to the consideration of a new mathematical programming problem involving the primal and dual parts of the trip distribution probabilities. The complexity of this problem is analyzed and a solution method is proposed. The new approach for trip distribution prediction is illustrated in the case of a small size transportation network and finally its main interests and difficulties are discussed.
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Mora-Camino, F., Nunes Cosenza, C.A. (2018). Fuzzy Dual Entropy and Applications. In: Fuzzy Dual Numbers. Studies in Fuzziness and Soft Computing, vol 359. Springer, Cham. https://doi.org/10.1007/978-3-319-65418-8_6
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DOI: https://doi.org/10.1007/978-3-319-65418-8_6
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