A fuzzy mathematics approach in measuring air pollution from motor vehicles

Air pollution from motor vehicle in cities specially in developing countries has been a major source of urban air pollution and hence a cause of concern for the administrators of the cities as well as for researchers in the field of ecology and mathematics. In the present work, the fuzzy membership...

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Main Authors: Soumak Biswas, Sripati Jha, Ramayan Singh
Format: Article
Language:English
Published: International Academy of Ecology and Environmental Sciences 2012-09-01
Series:Computational Ecology and Software
Subjects:
Online Access:http://www.iaees.org/publications/journals/ces/articles/2012-2(3)/a-fuzzy-mathematics-approach-in-measuring-air-pollution.pdf
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author Soumak Biswas
Sripati Jha
Ramayan Singh
author_facet Soumak Biswas
Sripati Jha
Ramayan Singh
author_sort Soumak Biswas
collection DOAJ
description Air pollution from motor vehicle in cities specially in developing countries has been a major source of urban air pollution and hence a cause of concern for the administrators of the cities as well as for researchers in the field of ecology and mathematics. In the present work, the fuzzy membership functions for some of the attributes regarding air pollution from motor vehicle are proposed. To study the index of air pollution in different area of a city, the air pollution index is proposed, which takes into account the membership function for the attributes of pollution. By applying a suitable interpolation formula (in our case Lagrange's interpolation formula) a polynomial curve is obtained, which gives the measure of air pollution at any point of the city under certain assumptions. The effectiveness and suitability of the method is established by taking an example.
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spelling doaj.art-c34ad6d1a1fb4ef8aa274519590868df2022-12-22T02:39:14ZengInternational Academy of Ecology and Environmental SciencesComputational Ecology and Software2220-721X2012-09-0123160168A fuzzy mathematics approach in measuring air pollution from motor vehiclesSoumak BiswasSripati JhaRamayan SinghAir pollution from motor vehicle in cities specially in developing countries has been a major source of urban air pollution and hence a cause of concern for the administrators of the cities as well as for researchers in the field of ecology and mathematics. In the present work, the fuzzy membership functions for some of the attributes regarding air pollution from motor vehicle are proposed. To study the index of air pollution in different area of a city, the air pollution index is proposed, which takes into account the membership function for the attributes of pollution. By applying a suitable interpolation formula (in our case Lagrange's interpolation formula) a polynomial curve is obtained, which gives the measure of air pollution at any point of the city under certain assumptions. The effectiveness and suitability of the method is established by taking an example.http://www.iaees.org/publications/journals/ces/articles/2012-2(3)/a-fuzzy-mathematics-approach-in-measuring-air-pollution.pdfpollution matrix(PM)weighted pollution matrix(WPM)pollution indexweightair pollution
spellingShingle Soumak Biswas
Sripati Jha
Ramayan Singh
A fuzzy mathematics approach in measuring air pollution from motor vehicles
Computational Ecology and Software
pollution matrix(PM)
weighted pollution matrix(WPM)
pollution index
weight
air pollution
title A fuzzy mathematics approach in measuring air pollution from motor vehicles
title_full A fuzzy mathematics approach in measuring air pollution from motor vehicles
title_fullStr A fuzzy mathematics approach in measuring air pollution from motor vehicles
title_full_unstemmed A fuzzy mathematics approach in measuring air pollution from motor vehicles
title_short A fuzzy mathematics approach in measuring air pollution from motor vehicles
title_sort fuzzy mathematics approach in measuring air pollution from motor vehicles
topic pollution matrix(PM)
weighted pollution matrix(WPM)
pollution index
weight
air pollution
url http://www.iaees.org/publications/journals/ces/articles/2012-2(3)/a-fuzzy-mathematics-approach-in-measuring-air-pollution.pdf
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