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Advances in Fuzzy Sets, Possibility Theory, and Applications pp 253–276Cite as

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

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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.

This paper is a summary of the author’s thesis, which was done at the Centre d’Etudes et de Recherches de Toulouse (France), Department d’Etudes et de Recherches en Automatique, under the sponsorship of the Ecole Nationale Superieure de l’Aeronautique et de l’Espace (Toulouse France). The author was supported by a scholarship of

the Societe des Amis de l’Enaae (Paris).

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Author information

Authors and Affiliations

  1. Department d’Etudes et de Recherches en Automatique, CERT, avenue Edouard Belin BP N° 4025, 31055, Toulouse Cedex, France

    Didier Dubois

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  1. Didier Dubois
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Editor information

Editors and Affiliations

  1. Duke University, Durham, North Carolina, USA

    Paul P. Wang

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© 1983 Plenum Press, New York

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Dubois, D. (1983). A Fuzzy, Heuristic, Interactive Approach to the Optimal Network Problem. In: Wang, P.P. (eds) Advances in Fuzzy Sets, Possibility Theory, and Applications. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3754-6_17

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  • DOI: https://doi.org/10.1007/978-1-4613-3754-6_17

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-3756-0

  • Online ISBN: 978-1-4613-3754-6

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