Fuzzy Set Approach–A Tool to Cluster Holy Samples of Groundwater Quality Parameters at Rameswaram, South India
Journal of Water Resources and Ocean Science
Volume 2, Issue 3, June 2013, Pages: 33-39
Received: Jun. 6, 2013; Published: Jun. 30, 2013
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Authors
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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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.
Keywords
Fuzzy Set, Potable Nature, Groundwater, Fuzzy Cluster, Alpha Cuts
To cite this article
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, Journal of Water Resources and Ocean Science. Vol. 2, No. 3, 2013, pp. 33-39. doi: 10.11648/j.wros.20130203.12
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