Hiérarchie des places centrales et graphes Φ-Flous

C Ponsard
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C Ponsard: Institut de Mathématiques Économiques, Université de Dijon, 4, Boulevard Gabriel, 21000 Dijon, France

Environment and Planning A, 1977, vol. 9, issue 11, 1233-1252

Abstract: This paper discusses the nature of the dominance relationships in a central-place system. The author takes account of the indeterminacy which fundamentally characterises the dominance relationship; one central place dominating another more or less . The formalisation put forward depends on the theory of fuzzy Φ-graphs. The first part describes the space of the influencing relations between agglomerations, and in the second part the indeterminate dominance relations are analysed. A central-place hierarchy exists if and only if the dominance-relations space can be partitioned into like classes. The author develops several theorems on fuzzy Φ-graphs. The model is operational. A numerical example is given in the three appendices which present, in conclusion, the necessary algorithms for putting it into practice.

Date: 1977
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Persistent link: https://EconPapers.repec.org/RePEc:sae:envira:v:9:y:1977:i:11:p:1233-1252

DOI: 10.1068/a091233

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