Fuzzy Set Approach–A Tool to Cluster Holy Samples of Groundwater Quality Parameters at Rameswaram, South India

V. Sivasankar; M. Kameswari; T. A. M. Msagati; M. Venkatapathy; M. Senthil Kumar

doi:doi:10.11648/j.wros.20130203.12

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Fuzzy Set Approach–A Tool to Cluster Holy Samples of Groundwater Quality Parameters at Rameswaram, South India

V. Sivasankar, M. Kameswari, T. A. M. Msagati, M. Venkatapathy, M. Senthil Kumar

Published in Journal of Water Resources and Ocean Science (Volume 2, Issue 3)

Received: 6 June 2013 Published: 30 June 2013

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Abstract

A fuzzy set theoretic approach has been developed to study the potable nature of the holy groundwater samples in summer and winter by clustering method using equivalence relation. The physico-chemical parameters viz., pH, Salinity, TDS, CH, MH, TH, Chloride and Fluoride are considered as attributes to develop the clusters. Based on the WHO recommendations, the linguistic approach has been developed for the water quality parameters of 22 holy groundwater samples in this study. Normalized eucilidean distance chosen for this study, measures the deviation of the determined quality parameters for any two holy groundwater samples. In the present paper, the seasonal changes in the quality of the water samples among the clusters at various rational alpha cuts are derived. The fluctuation in the water quality parameters was apparent such that the clusters contract from summer to winter with an exception of one sample with remarkable quality called Sethumadhava.

Published in	Journal of Water Resources and Ocean Science (Volume 2, Issue 3)
DOI	10.11648/j.wros.20130203.12
Page(s)	33-39
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2013. Published by Science Publishing Group

Keywords

Fuzzy Set, Potable Nature, Groundwater, Fuzzy Cluster, Alpha Cuts

References

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[7]	Chuntao R, Changyou L, Keli J, Sheng Z, Weiping L, Youling C, Water quality assessment for Ulansuhai Lake using fuzzy clustering and pattern recognition, Chinese Journal of Oceanology and Limnology, 26(3), pp. 339-344, 2008.
[8]	Yuan-yuan M, Xue-gang A, Lian-Sheng W, Fuzzy pattern recognition method for assessing ground vulnerability to pollution in the Zhangji area, Journal of Zhejiang University Science A, ISSN 1009- 3095(Print); ISSN 1862-1775(Online), 2006.
[9]	Muhammetoglu A, Yardimci A, A fuzzy logic approach to assess groundwater pollution levels below agricultural fields, Environ. Monit. Assess. 118, pp. 337-354, 2006.
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[12]	Rezaei F, Safavi HR, Ahmadi A, Groundwater vulnerability assessment using fuzzy logic: a case study in the zayandehrood aquifers, Iran, Environ Manage., 51, pp.267 – 277, 2013.
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APA Style

V. Sivasankar, M. Kameswari, T. A. M. Msagati, M. Venkatapathy, M. Senthil Kumar. (2013). Fuzzy Set Approach–A Tool to Cluster Holy Samples of Groundwater Quality Parameters at Rameswaram, South India. Journal of Water Resources and Ocean Science, 2(3), 33-39. https://doi.org/10.11648/j.wros.20130203.12

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ACS Style

V. Sivasankar; M. Kameswari; T. A. M. Msagati; M. Venkatapathy; M. Senthil Kumar. Fuzzy Set Approach–A Tool to Cluster Holy Samples of Groundwater Quality Parameters at Rameswaram, South India. J. Water Resour. Ocean Sci. 2013, 2(3), 33-39. doi: 10.11648/j.wros.20130203.12

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AMA Style

V. Sivasankar, M. Kameswari, T. A. M. Msagati, M. Venkatapathy, M. Senthil Kumar. Fuzzy Set Approach–A Tool to Cluster Holy Samples of Groundwater Quality Parameters at Rameswaram, South India. J Water Resour Ocean Sci. 2013;2(3):33-39. doi: 10.11648/j.wros.20130203.12

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@article{10.11648/j.wros.20130203.12,
  author = {V. Sivasankar and M. Kameswari and T. A. M. Msagati and M. Venkatapathy and M. Senthil Kumar},
  title = {Fuzzy Set Approach–A Tool to Cluster Holy Samples of Groundwater Quality Parameters at Rameswaram, South India},
  journal = {Journal of Water Resources and Ocean Science},
  volume = {2},
  number = {3},
  pages = {33-39},
  doi = {10.11648/j.wros.20130203.12},
  url = {https://doi.org/10.11648/j.wros.20130203.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.wros.20130203.12},
  abstract = {A fuzzy set theoretic approach has been developed to study the potable nature of the holy groundwater samples in summer and winter by clustering method using equivalence relation. The physico-chemical parameters viz., pH, Salinity, TDS, CH, MH, TH, Chloride and Fluoride are considered as attributes to develop the clusters.  Based on the WHO recommendations, the linguistic approach has been developed for the water quality parameters of 22 holy groundwater samples in this study.  Normalized eucilidean distance chosen for this study, measures the deviation of the determined quality parameters for any two holy groundwater samples.  In the present paper, the seasonal changes in the quality of the water samples among the clusters at various rational alpha cuts are derived. The fluctuation in the water quality parameters was apparent such that the clusters contract from summer to winter with an exception of one sample with remarkable quality called Sethumadhava.},
 year = {2013}
}

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TY - JOUR
T1 - Fuzzy Set Approach–A Tool to Cluster Holy Samples of Groundwater Quality Parameters at Rameswaram, South India
AU - V. Sivasankar
AU - M. Kameswari
AU - T. A. M. Msagati
AU - M. Venkatapathy
AU - M. Senthil Kumar
Y1 - 2013/06/30
PY - 2013
N1 - https://doi.org/10.11648/j.wros.20130203.12
DO - 10.11648/j.wros.20130203.12
T2 - Journal of Water Resources and Ocean Science
JF - Journal of Water Resources and Ocean Science
JO - Journal of Water Resources and Ocean Science
SP - 33
EP - 39
PB - Science Publishing Group
SN - 2328-7993
UR - https://doi.org/10.11648/j.wros.20130203.12
AB - A fuzzy set theoretic approach has been developed to study the potable nature of the holy groundwater samples in summer and winter by clustering method using equivalence relation. The physico-chemical parameters viz., pH, Salinity, TDS, CH, MH, TH, Chloride and Fluoride are considered as attributes to develop the clusters. Based on the WHO recommendations, the linguistic approach has been developed for the water quality parameters of 22 holy groundwater samples in this study. Normalized eucilidean distance chosen for this study, measures the deviation of the determined quality parameters for any two holy groundwater samples. In the present paper, the seasonal changes in the quality of the water samples among the clusters at various rational alpha cuts are derived. The fluctuation in the water quality parameters was apparent such that the clusters contract from summer to winter with an exception of one sample with remarkable quality called Sethumadhava.
VL - 2
IS - 3
ER -

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Author Information

V. Sivasankar

Department of Chemistry, Thiagarajar College of Engineering (Autonomous), Madurai – 625 015, Tamil Nadu, India
M. Kameswari

Department of Mathematics, Thiagarajar College of Engineering (Autonomous), Madurai – 625 015, Tamil Nadu, India
T. A. M. Msagati

Department of Applied Chemistry, University of Johannesburg, Doornfontein Campus, P. O. Box 17011, Johannesburg, South Africa
M. Venkatapathy

Department of Chemistry, A.A Government Arts College, Musiri – 621 221, Tamil Nadu, India
M. Senthil Kumar

Department of Civil Engineering, Sethu Institute of Technology, Virudhunagar – 626 115, Tamil Nadu, India

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APA Style

V. Sivasankar, M. Kameswari, T. A. M. Msagati, M. Venkatapathy, M. Senthil Kumar. (2013). Fuzzy Set Approach–A Tool to Cluster Holy Samples of Groundwater Quality Parameters at Rameswaram, South India. Journal of Water Resources and Ocean Science, 2(3), 33-39. https://doi.org/10.11648/j.wros.20130203.12

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ACS Style

V. Sivasankar; M. Kameswari; T. A. M. Msagati; M. Venkatapathy; M. Senthil Kumar. Fuzzy Set Approach–A Tool to Cluster Holy Samples of Groundwater Quality Parameters at Rameswaram, South India. J. Water Resour. Ocean Sci. 2013, 2(3), 33-39. doi: 10.11648/j.wros.20130203.12

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AMA Style

V. Sivasankar, M. Kameswari, T. A. M. Msagati, M. Venkatapathy, M. Senthil Kumar. Fuzzy Set Approach–A Tool to Cluster Holy Samples of Groundwater Quality Parameters at Rameswaram, South India. J Water Resour Ocean Sci. 2013;2(3):33-39. doi: 10.11648/j.wros.20130203.12

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@article{10.11648/j.wros.20130203.12,
  author = {V. Sivasankar and M. Kameswari and T. A. M. Msagati and M. Venkatapathy and M. Senthil Kumar},
  title = {Fuzzy Set Approach–A Tool to Cluster Holy Samples of Groundwater Quality Parameters at Rameswaram, South India},
  journal = {Journal of Water Resources and Ocean Science},
  volume = {2},
  number = {3},
  pages = {33-39},
  doi = {10.11648/j.wros.20130203.12},
  url = {https://doi.org/10.11648/j.wros.20130203.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.wros.20130203.12},
  abstract = {A fuzzy set theoretic approach has been developed to study the potable nature of the holy groundwater samples in summer and winter by clustering method using equivalence relation. The physico-chemical parameters viz., pH, Salinity, TDS, CH, MH, TH, Chloride and Fluoride are considered as attributes to develop the clusters.  Based on the WHO recommendations, the linguistic approach has been developed for the water quality parameters of 22 holy groundwater samples in this study.  Normalized eucilidean distance chosen for this study, measures the deviation of the determined quality parameters for any two holy groundwater samples.  In the present paper, the seasonal changes in the quality of the water samples among the clusters at various rational alpha cuts are derived. The fluctuation in the water quality parameters was apparent such that the clusters contract from summer to winter with an exception of one sample with remarkable quality called Sethumadhava.},
 year = {2013}
}

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