ORIGINAL RESEARCH
The Eutrophication Assessment Based on
the Fuzzy C-means (FCM) Algorithm
and Improved Grey Target Theory
More details
Hide details
1
School of Architecture, Nanyang Institute of Technology, Nanyang, China
2
School of Civil Engineering, Nanyang Institute of Technology, Nanyang, China
Submission date: 2025-12-08
Final revision date: 2026-01-20
Acceptance date: 2026-01-27
Online publication date: 2026-05-21
Corresponding author
Xin-Bao Gu
School of Civil Engineering, Nanyang Institute of Technology, Nanyang, China
KEYWORDS
TOPICS
ABSTRACT
Lake eutrophication is an important aspect of water quality assessment. The traditional grey target
model is a valid method for evaluating lake eutrophication, but because of the correlation among
assessment indicators, its predictive accuracy is questionable. To eliminate this influence, the FCM
algorithm and improved grey target theory are introduced to evaluate the lake eutrophication. First,
the FCM algorithm is applied to determine the weight coefficients; second, for the suggested model,
the correlation coefficient matrix is used to replace the covariance matrix in the Mahalanobis distance;
third, the positive and negative ideal solutions in the Technique for Order Preference by Similarity
to Ideal Solution (TOPSIS) model are used to define the positive and negative target centers. Finally,
the engineering example is verified using the improved model. Conclusions are drawn that the method
is feasible for estimating the lake eutrophication, that its predictive accuracy is higher than that of
traditional models, and that it can mine and develop data to the greatest extent using information from
a few samples and limited information. These conclusions can provide a new approach and perspective
for assessing lake eutrophication in the future.
CONFLICT OF INTEREST
The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
REFERENCES (26)
1.
GU X.B., SHAO J.L., WU S.T., WU Q.H., BAI H. The risk assessment of debris flow hazards in zhouqu based on the projection pursuit classification model. Geotechnical & Geological Engineering, 40 (3), 1267, 2021.
2.
GU X.B., WU Q.H. Seismic stability analysis of waterfront rock slopes using the modified pseudodynamic method. Geotechnical and Geological Engineering, 37 (3), 1743, 2019.
3.
WANG B., FENG X.T., PAN P.Z. Application research of material point method in slope stability evaluation. Chinese Journal of Rock Mechanics and Engineering, 36 (9), 146, 2017 [In Chinese].
4.
ZHOU X.P., PAN X.K., CHENG H. The nonlinear creep behaviors of sandstone under the different confining pressures based on NMR Technology. Rock Mechanics and Rock Engineering, 54 (9), 4889, 2021.
5.
ZHOU X.X., LUO H. Assessment and Risk Identification of Water Resource Carry Capacity in the Pear River Basin. Pearl River, 44 (2), 28, 2023 [In Chinese].
6.
LI Q., ZHU X.H. Evaluation of Water Resources Carrying Capacity in Yangtze River Delta Based on PSO-TOPSIS Model. Environmental Science and Management, 48 (1), 171, 2023 [In Chinese].
7.
JIANG B.B.,LI J.F.,WU M.,SU C., BAO Y.X., XUE R. Review on the purification mechanism of mine water by coal mine underground reservoir. Journal of Mining Science and Technology, 8 (2),137,2023 [In Chinese].
8.
GONG F.Q., LI X.B., LIN H. Model of distance discriminant analysis for rock burst prediction in tunnel engineering and its application. China Railway Science, 28 (4), 25, 2007.
9.
ZHAO Y., HOU Y.K.,TANG T.W. Evaluation index of bursting liability of coal based on energy transfer efficiency. Journal of Mining Science and Technology, 9 (1), 22, 2024 [In Chinese].
10.
NING Y.M., YIN F.N., LI X.B. Application of Several Evaluation Methods for River Water Quality in the Yangtze River Mainstream. Journal of Southwest University (Natural Science Edition), 42 (12), 126, 2020 [In Chinese].
11.
YANG H., ZHANG G.Z., YANG X.N., WU F., LI H. Comprehensive Evaluation on Water Environment Quality of the Tao River Based on Fuzzy Comprehensive Method.Environmental Science & Technology, 39 ( S1), 386, 2016.
12.
WU W. J., ZHANG S.T., ZHANG G.Z.,TAO S.Y. Debris flow risk assessment based on grey correlation analysis method a case study of Yinpohe debris flow in Lushui County. Journal of Geological Hazards and Environment Preservation, 28 (3), 30, 2017 [In Chinese].
13.
SHI R.M., ZHU Z.B.,WANG H.W. Study on the mechanism of roof strata instability induced by reverse fault slip under the influence of mining. Journal of Mining Science and Technology, 10 (6), 1121, 2025 [In Chinese].
14.
LI X.Y., ZHANG M.W.,SONG L., PANG Y.C., ZHANG J.R. Research on microseismic source localization based on optimized leading wolfpack algorithm. Journal of Mining Science and Technology, 9 (2), 233, 2024 [In Chinese].
15.
ZHOU J., LI X., SHI X. Long-term prediction model of rockburst in underground openings using heuristic algorithms and support vector machines. Safety Science, 50 (4), 629, 2012.
16.
WEI X.J., CHEN T.T., WANG X. Progress in research of the rockburst hazard. Modern Tunneling Technology, 57 (2), 1, 2020 [In Chinese].
17.
LIU G., XU B. Application of Improved Matter-Element Extension Model Based on AHP-CRITIC Comprehensive Weight in Groundwater Quality Evaluation. Environmental Monitoring in China, 40 (3), 125, 2024.
18.
GU X.B., WU Q.H., ZHU Y.H. The experimental investigation on the propagation process of crack for brittle rock similar material. Geotechnical and Geological Engineering, 37 (6), 4714, 2019.
19.
YANG X.L., ZHANG S. Risk assessment model of tunnel water inrush based on improved attribute mathematical theory. Journal of Central South University, 25 (2), 379, 2018.
20.
CHU H.D., XU G.L., YASUFUKU N., YU Z., LIU P., WANG J.F. Risk assessment of water inrush in karst tunnels based on two-class fuzzy comprehensive evaluation method. Arabian Journal of Geosciences, 10 (3), 179, 2017.
https://doi.org/10.1007/s12517....
21.
HU J.,WANG Y., ZHANG S.H., CHANG T.F., SUN L.L.Preparation, classification, hydration mechanism and durability of magnesium-based cementing material. Journal of Mining Science and Technology, 8 (6), 856, 2023 [In Chinese].
22.
XU Z.H., LI S.C., LI L.P. Risk assessment of water or mud inrush of karst tunnels based on analytic hierarchy process. Rock Soil Mech, 32 (1), 1757, 2011.
23.
CHEN H.B., JIANG N., MAON Z. Multi-mode kernel principal component analysis-based incipient fault detection for pulse width modulated inverter of China Railway Highspeed 5. Advances in Mechanical Engineering, 9 (2), 10, 2017.
24.
SUN Z.C. Study on water environment quality evaluation based on cloud model-Taking the Yellow River mainstream as an example. Master Thesis. Chang'an University, Xi'an, China, 2017 [In Chinese].
25.
CHEN J.W., ZHOU X.P. The enhanced extended finite element method for the propagation of complex branched cracks. Engineering Analysis with Boundary Elements, 104 (1), 46, 2019.
26.
ZHU H.H., LIU Z.Z., JIA C.,YUAN H., LI S. Application of Entropy Weight-Set Pair Analysis Method in Groundwater Quality Assessment of Dawu. Ground Water, 43 (2),11, 2021 [In Chinese].