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Fuzzy binary relation based elucidation of air quality over a highly polluted urban region of India

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Abstract

The paper reports a study on the air quality over Kolkata, India during the transition period from post-monsoon to winter. A fuzzy binary relation based approach is implemented to O3, N O2 and P M2 5 and the overall air quality index (AQI). Individual pollutants have been converted to fuzzy sets based on their concentrations as elements of the universe of discourse with appropriate fuzzy membership functions defined on them. AQI has been divided into categories based on the recommendations of the Central Pollution Control Board (CPCB), Govt of India. After defining the fuzzy relations, the fuzzy composite relations have been derived to construct fuzzy membership matrices based on the composite binary fuzzy relations. Afterwards, the membership grades of the matrices for the composite fuzzy binary relations have been studied and N O2 along with O3 have been consideblack as having highly significant influence on the overall AQI over the polluted study zone during the transition from post-monsoon to winter.

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Acknowledgements

The data are collected from the web site of the Central Pollution Control Board (CPCB), Govt of India. Supportive comments from the anonymous reviewers are thankfully acknowledged. Goutami Chattopadhyay acknowledges the financial support from DST (Govt of India) under Grant No. SR/WOS-A/EA-10/2017(G).

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Authors and Affiliations

  1. Department of Atmospheric Sciences, University of Calcutta, 51/2 Hazra Road, Kolkata, 700019, India

    Goutami Chattopadhyay & Subrata Kumar Midya

  2. Department of Mathematics, Amity University, Major Arterial Road, Action Area II, Rajarhat, New Town, Kolkata, 700135, India

    Surajit Chattopadhyay

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  1. Goutami Chattopadhyay
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  2. Surajit Chattopadhyay
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  3. Subrata Kumar Midya
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Correspondence to Surajit Chattopadhyay.

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Chattopadhyay, G., Chattopadhyay, S. & Midya, S.K. Fuzzy binary relation based elucidation of air quality over a highly polluted urban region of India. Earth Sci Inform 14, 1625–1631 (2021). https://doi.org/10.1007/s12145-021-00625-2

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