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A Fuzzy, Heuristic, Interactive Approach to the Optimal Network Problem

In: Advances in Fuzzy Sets, Possibility Theory, and Applications

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  • Didier Dubois

    (CERT, Department d’Etudes et de Recherches en Automatique)

Abstract

Among the various problems that have to be solved in the transportation planning field, that of designing optimally a network has focused the attention of many researchers. The network is formally represented as a graph and we must find a subset of the maximal set of links, which are for instance streets or roads. The problem belongs to the combinatorial field, and its optimal solving is impossible for practical-sized sets of data; we are forced to use heuristic methods which are not completely satisfactory by their very nature.

Suggested Citation

  • Didier Dubois, 1983. "A Fuzzy, Heuristic, Interactive Approach to the Optimal Network Problem," Springer Books, in: Paul P. Wang (ed.), Advances in Fuzzy Sets, Possibility Theory, and Applications, pages 253-276, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4613-3754-6_17
    DOI: 10.1007/978-1-4613-3754-6_17
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