Abstract
The evaluation of water quality is challenging because it is involved with various uncertainty factors. A connection cloud model coupled with extenics, taking into account of randomness, fuzziness and incompatibility of evaluation indicators, was presented here to analyze the water quality. First, according to the classification standard, left and right half interval lengths of evaluation indicator were specified to assign the digital features of the connection cloud at various levels. Then, a matter element was built with the connection cloud model. Namely, connection clouds in finite intervals were simulated to analyze the certainty degree of measured indicator to each evaluation standard, the certainty degree of indicator was calculated, and the extension matrix was constructed based on connection cloud. Next, associated with the weight vector of indicators, the integrated certainty degree was calculated to determine the class of water quality. Finally, a case study and comparisons with other methods were performed to confirm the validity and reliability of the proposed model. The results show that this model can not only quantitatively describe certainty and uncertainty relationship between evaluation indicators and classification standard in a unified way, but also make the evaluation result more reasonable.




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Acknowledgements
Financial support provided by the National Key Research and Development Program of China under Grant No. 2016YFC0401303 and 2017YFC1502405 and the National Natural Sciences Foundation, China (No. 51579059 and 41172274) is gratefully acknowledged. The author would also like to express sincere thanks to the reviewers for their thorough reviews and useful suggestions.
No conflict of interest exists in the submission of this manuscript, and manuscript is approved by all authors for publication.
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Liu, Q., Wang, M., Zhou, T. et al. A connection cloud model coupled with extenics for water eutrophication evaluation. Earth Sci Inform 12, 659–669 (2019). https://doi.org/10.1007/s12145-019-00403-1
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DOI: https://doi.org/10.1007/s12145-019-00403-1