Abstract
In the present world, various natural and human activities introducing contaminants to the environment system result in diminishing of air quality in both global and local scopes. In the considered scopes, environmental officials and corresponding societies must be informed of degree of air quality. As a result, many scientists and standards try to develop and present a variety of air quality indices for estimation of adverse effects of air pollution, though the indices have their own limitations such as high levels of subjectivity and not hybrid attitude. This study attempts to develop fuzzy-based air quality indices analyzing: CO, PM2.5, SO2, NO2 and O3 for most urban areas or industrial areas without special pollutants like BTEX or H2S. Two fuzzy inference systems with different types: 1—Mamdani and 2—zero-order Takagi–Sugeno, are prepared for assessing the air quality index. In Mamdani Fuzzy Air Quality Index (MFAQI) different weighting factors are applied to each pollutant to include their degree of significance based on a query analyzing the health impacts, health precautions and safety measures. Next, the Takagi–Sugeno Fuzzy Air Quality Index (TSFAQI) is produced by mam2sug code in MATLAB R2013a. The naming FAQIs is applied for Shahre Rey Town as a case study to have a measure of applicability and performance of the proposed fuzzy indices. The concentration data for air criteria pollutants relate to the 2-year interval from April 2013 to April 2015. The prepared MFAQI and TSFAQI are studied and compared to the well-known air quality index (AQI) by United States Environmental Protection Agency for cross-validations. The cross-validation functioned by CF tool in MATLAB R2013a presents good fittings with slopes of 0.9934 and 1.079 (with 95 % accuracy) relatively for MFAQI and TSFAQI. The results express that the TSFAQI overestimates the AQI, while the MFAQI underestimates the AQI. On the other hand, TSFAQI exhibits less deviation from AQI; this is while the largest deviation occurred in the study equals 14.8 %.
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Notes
Pollutant Standard Index.
Revised Air Quality Index.
Environmental Risk Assessment.
Environmental Quality Assessment.
Environmental Impact Assessment.
Benzene, Toluene, Ethyl Benzene, Xylene.
Fuzzy Air Quality Index.
Analytical Hierarchy Process.
Detrended Fluctuation Analysis.
Air Pollution Indices.
Principal Component Analysis.
Fuzzy c-means.
Indoor air quality.
Total Volatile Organic Compounds.
Fuzzy Logic Assessment System.
Membership Function.
Fuzzy Inference System.
Center of Gravity.
Dose Response Analysis.
References
Adriaenssens V, De Baets B, Goethals PLM, De Pauw N (2004) Fuzzy rule-based models for decision support in ecosystem management. Sci Total Environ 319:1–12
Arunraj NS, Maiti J (2009) Development of environmental consequence index (ECI) using fuzzy composite programming. J Hazard Mater 162:29–43
Assimakopoulosa MN, Dounis A, Spanou A, Santamouris M (2013) Indoor air quality in a metropolitan area metro using fuzzy logic assessment system. Sci Total Environ 449:461–469
Bartra J, Mullol J, del Cuvillo A, Dávila I, Ferrer M, Jáuregui I, Montoro J, Sastre J, Valero A (2007) Air pollution and allergens. J Invest Allerg Clin 17:3–8
Bordogna G, Boschetti M, Brivio PA, Carrara M, Pagani M, Stroppiana D (2011) Recent developments in the ordered weighted averaging operators: theory and practice. In: Yager RR, Kacprzyk J, Beliakov G (eds) Fusion strategies based on the OWA operator in environmental applications. Springer, Berlin
Caniani D, Lioi DS, Mancini IM, Masi S (2011) Application of fuzzy logic and sensitivity analysis for soil contamination hazard classification. Waste Manage 31:583–594
Cheng WL, Chen YS, Zhang J, Lyons TJ, Pai JL, Chang SH (2007) Comparison of the revised air quality index with the PSI and AQI indices. Sci Total Environ 382:191–198
Dogruparmak SC, Keskin GA, Yaman S, Alkan A (2014) Using principal component analysis and fuzzy c-means clustering for the assessment of air quality monitoring. Atmos Pol Res 5(4):656–663
Dunea D, Pohoat AA, Langu E (2011) Fuzzy inference systems for estimation of air quality index. ROMAI J 7(2):63–70
Enea M, Salemi G (2001) Fuzzy approach to the environmental impact evaluation. Ecol Model 135:131–147
Fernandez F, Duarte A, Sanchez A (2006) Optimization of the fuzzy partition of a zero-order Takagi-Sugeno model. In: 11’th Information processing and management uncertainty in knowledge based systems (IMPU 2006)
Fisher BEA (2006) Fuzzy approaches to environmental decisions: application to air quality. Environ Sci Policy 9:22–31
Gagliardi F, Roscia M, Lazaroiu G (2007) Evaluation of sustainability of a city through fuzzy logic. Energy 32:795–802
García MAO, Hernández JJC, Fernández LPS, Bautista IH (2016) Air quality assessment using a weighted. Fuzzy Inference System Ecol Inform 33:57–74
Genske DD, Heinrich K (2009) A knowledge-based fuzzy expert system to analyse degraded terrain. Expert Syst Appl 36:2459–2472
Hernández JJC, Fernández LPS, Ochoa JAC, Trinidad JFM (2012) Assessment and prediction of air quality using fuzzy logic and autoregressive models. Atmos Environ 60:37–50
Kaufmann M, Tobias S, Schulin R (2009) Quality evaluation of restored soils with a fuzzy logic expert system. Geoderma 151:290–302
Lermontov A, Yokoyama L, Lermontov M, Soares-Machado MA (2009) River quality analysis using fuzzy water quality index: Ribeira do Iguape river watershed, Brazil. Ecol Indic 9:1188–1197
Liou YT, Lo SL (2005) A fuzzy index model for trophic status evaluation of reservoir waters. Water Res 39:1415–1423
Liu Z, Wang L, Zhu H (2015) A time–scaling property of air pollution indices: a case study of Shanghai, China. Atmos Pollut Res 6(5):886–892
López EM, García M, Schuhmacher M, Domingo JL (2008) A fuzzy expert system for soil characterization. Environ Int 34:950–958
Marchini A, Facchinetti T, Mistri M (2009) F-IND: a framework to design fuzzy indices of environmental conditions. Ecol Indic 9:485–496
Mendoza GA, Prabhu R (2003) Fuzzy methods for assessing criteria and indicators of sustainable forest management. Ecol Indic 3:227–236
Mo-Yuen C (1997) Methodologies of using neural network and fuzzy logic technologies for motor incipient fault detection. World Scientific, Singapore
NADF-009-AIRE (2006) Environmental standard for the federal district (norma ambiental para el Distrito Federal). Gaceta Oficial del Distrito Federal (in Spanish), XVI epoch
Nasiri F, Huang G, Fuller N (2007) Prioritizing groundwater remediation policies: a fuzzy compatibility analysis decision aid. J Environ Manage 82:13–23
Ocampo W, Ferré N, Domingo J, Schuhmacher M (2006) Assessing water quality in rivers with fuzzy inference systems: a case study. Environ Int 32:733–742
Peche R, Rodríguez E (2011) Environmental impact assessment by means of a procedure based on fuzzy logic: a practical application. Environ Impact Assess Rev 31(2):87–96
Prato T (2009) Fuzzy adaptive management of social and ecological carrying capacities for protected areas. J Environ Manage 90:2551–2557
Ross T (2004) Fuzzy logic with engineering applications. Wiley, New York
Siqueira A, Mello R (2006) A decision support method for environmental impact assessment using a fuzzy logic approach. Ecol Econ 58:170–181
SMA (2009) Mexican Ministry of Environment (Secretaría del Medio Ambiente, in Spanish). http://www.sma.df.gob.mx. Accessed August 2009
Soler Ruiz V (2007) Lógica difusa aplicada a conjuntos imbalanceados: aplicación a la detección del síndrome de down. Thesis Doctoral. Departament de Microelectrònica i Sistemes Electrònics, Universitat Autònoma de Barcelona
Sowlat M, Gharibi H, Yunesian M, Mahmoudi T, Lotfi S (2011) A novel, fuzzy-based air quality index (FAQI) for air quality assessment. Atmos Environ 45:2050–2059
Stroppiana D, Boschetti M, Brivio PA, Carrara P, Bordogna G (2009) Fuzzy anomaly indicator for environmental monitoring at continental scale. Ecol Indic 9:92–106
Sugeno M (1985) An introductory survey of fuzzy control. Interface Sci 36:59–83
Takagi T, Sugeno M (1985) Fuzzy identification of systems and its application to modelling and control. IEEE Trans Syst Man Cybern 15:116–132
Uricchio VF, Giordano R, Lopez N (2004) A fuzzy knowledge-based decision support system for groundwater pollution risk evaluation. J Environ Manage 73:189–197
US-EPA (2006) Guidelines for the reporting of daily air quality and the Air Quality Index (AQI). https://www3.epa.gov/ttn/caaa/t1/memoranda/rg701.pdf
US-EPA (2009a) Technical assistance document for the reporting of daily air quality e the Air Quality Index (AQI). https://www3.epa.gov/airnow/aqi-technical-assistance-document-dec2013.pdf
US-EPA (2009b) Air Quality Index, a guide to air quality and your health. https://www3.epa.gov/airnow/aqi_brochure_02_14.pdf
Van HMG, Zimmer C (1998) An indicator of pesticide environmental impact based on fuzzy expert system. Chemosphere 36:2225–2249
Yang M, Khan FI, Sadiq R (2011) Prioritization of environmental issues in offshore oil and gas operations: a hybrid approach using fuzzy inference system and fuzzy analytic hierarchy process. Process Saf Environ Prot 89:22–34
Zadeh L (1965) Fuzzy sets. Inform Cont 8:338–353
Zadeh L (1978) Fuzzy sets as a basis for theory of possibility. Fuzzy Set Syst 1:3–28
Acknowledgments
The authors are very happy to acknowledge the everlasting invention of professor L., A., Zade as the father of Fuzzy sets. We gratefully wish to thank the scientific teams: Sowlat et al. (2011), Dunea et al. (2011) and Fernandez et al. (2006) for their literatures all of which helped us to edit the present study.
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Sarkheil, H., Rahbari, S. Development of case historical logical air quality indices via fuzzy mathematics (Mamdani and Takagi–Sugeno systems), a case study for Shahre Rey Town. Environ Earth Sci 75, 1319 (2016). https://doi.org/10.1007/s12665-016-6131-2
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DOI: https://doi.org/10.1007/s12665-016-6131-2