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 |
Fuzzy Set, Potable Nature, Groundwater, Fuzzy Cluster, Alpha Cuts
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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
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
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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Download@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}
}
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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