Annales Mathematiques Africaines


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Modeling urban aerial pollution using stochastic pretopology



Sofiane Ben Amor
Laboratoire d'informatique et des systèmes complexes,
41 rue Gay Lussac, 75005 Paris, France


Marc Bui
Laboratoire d'informatique et des systèmes complexes,
41 rue Gay Lussac, 75005 Paris, France


Michel Lamure
Bâtiment Nautibus, Université Lyon 1,
43, bd du 11 novembre 1918, 69622 Villeurbanne cedex



Mathematics Subject Classification:
Key words : complex systems, urban aerial pollution, stochastic pretopology.

Abstract:


In this paper, we propose a modeling and a multi-agent systems based simulation of aerial pollution of an urban area; the city of Ouagadougou. First we develop a mathematical model of the spatial area from the pollution point of view. This model is based both on the concept of pretopological structure and the concept of random sets. The reader who is not familiar with pretopological concepts can find out all he needs in (Belmandt 1993). In a second part, we present a simulation approach using the multi agents systems paradigm. In conclusion, we review positive points of our modeling and problems remaining to be solved in view to implement efficient policies for fighting against pollution.

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