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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Format: | Article |
Language: | English |
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International Academy of Ecology and Environmental Sciences
2012-09-01
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Series: | Computational Ecology and Software |
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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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id | doaj.art-c34ad6d1a1fb4ef8aa274519590868df |
institution | Directory Open Access Journal |
issn | 2220-721X |
language | English |
last_indexed | 2024-04-13T16:41:04Z |
publishDate | 2012-09-01 |
publisher | International Academy of Ecology and Environmental Sciences |
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series | Computational Ecology and Software |
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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