A pretopological approach for structural analysis

被引:25
作者
Largeron, C [1 ]
Bonnevay, S [1 ]
机构
[1] Univ Lyon 1, UMR CNRS 5823, F-69622 Villeurbanne, France
关键词
Algorithms - Geographic information systems - Set theory;
D O I
10.1016/S0020-0255(02)00189-5
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The aim of this paper is to present a methodological approach for problems encountered in structural analysis. This approach is based upon the pretopological concepts of pseudoclosure and minimal closed subsets. The advantage of this approach is that it provides a framework which is general enough to model and formulate different types of connections that exist between the elements of a population. In addition, it has enabled us to develop a new structural analysis algorithm. An explanation of the definitions and properties of the pretopological concepts applied in this work is first shown and illustrated in sample settings. The structural analysis algorithm is then described and the results obtained in an economic study of the impact of geographic proximity on scientific collaborations are presented. (C) 2002 Elsevier Science Inc. All rights reserved.
引用
收藏
页码:169 / 185
页数:17
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