Study on an AHP-Entropy-ANFIS Model for the prediction of the Unfrozen Water Content of Sodium- Bicarbonate-Type Salinization Frozen Soil

The development of agriculture and ecology, and the construction of water conservancy facilities are seriously hindered by the salinization of seasonal frozen soil. Unfrozen water exists in the freezing and thawing of frozen soil. This unfrozen water is the core and foundation for studying the proce...

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Main Authors: Qing Wang, Yufeng Liu, Xudong Zhang, Huicheng Fu, Sen Lin, Shengyuan Song, Cencen Niu
Format: Article
Language:English
Published: MDPI AG 2020-07-01
Series:Mathematics
Subjects:
AHP
SVM
Online Access:https://www.mdpi.com/2227-7390/8/8/1209
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spelling doaj-b592f9b6a4a44492b06fb5f86c6cd3352020-11-25T03:02:07ZengMDPI AGMathematics2227-73902020-07-0181209120910.3390/math8081209Study on an AHP-Entropy-ANFIS Model for the prediction of the Unfrozen Water Content of Sodium- Bicarbonate-Type Salinization Frozen SoilQing Wang0Yufeng Liu1Xudong Zhang2Huicheng Fu3Sen Lin4Shengyuan Song5Cencen Niu6College of Construction Engineering, Jilin University, Changchun 130026, ChinaCollege of Construction Engineering, Jilin University, Changchun 130026, ChinaDepartment of Civil Engineering, Shanghai University, Shanghai 200444, ChinaJilin Province Water Resource and Hydropower Consultative Company of P.R. CHINA, Changchun 130012, ChinaJilin Province Water Resource and Hydropower Consultative Company of P.R. CHINA, Changchun 130012, ChinaCollege of Construction Engineering, Jilin University, Changchun 130026, ChinaCollege of Construction Engineering, Jilin University, Changchun 130026, ChinaThe development of agriculture and ecology, and the construction of water conservancy facilities are seriously hindered by the salinization of seasonal frozen soil. Unfrozen water exists in the freezing and thawing of frozen soil. This unfrozen water is the core and foundation for studying the process of seasonal frozen soil salinization. However, it is difficult to obtain the unfrozen water content (UW) in routine experiments, and it shows nonlinear characteristics under the action of the main factors contained: salt content, water content, and temperature. In this paper, a new model is proposed to predict the UW of saline soil based on the combined weighting method and the adaptive neuro-fuzzy inference system (ANFIS). Firstly, the distance function was used to combine the analytic hierarchy process (AHP) with the entropy weight method (the combined weighting method) to determine the importance of the influencing factors (temperature, initial water content, and salt content) on UW. On this basis, the AHP, entropy weight method, and adaptive neuro-fuzzy inference system (AHP-entropy-ANFIS) ensemble model was established. Secondly, the five-fold cross-validation method and statistical factors (coefficient of determination, mean squared error, mean absolute percent error, and mean absolute error) were applied to evaluate and compare the AHP-entropy-ANFIS ensemble model, the ANFIS model, the support vector machine (SVM) model, and the AHP, entropy weight method, and support vector machine (AHP-entropy-SVM) ensemble model. In addition, the prediction values of the four models and the experimental values were also compared. The results show that the AHP-entropy-ANFIS model had the strongest prediction capability and the best stability, and so is more suitable for predicting the UW of saline soil. This study provides useful guidance for preventing and mitigating salinization hazards in seasonally frozen areas.https://www.mdpi.com/2227-7390/8/8/1209unfrozen waterAHPentropySVMANFISsaline soil
collection DOAJ
language English
format Article
sources DOAJ
author Qing Wang
Yufeng Liu
Xudong Zhang
Huicheng Fu
Sen Lin
Shengyuan Song
Cencen Niu
spellingShingle Qing Wang
Yufeng Liu
Xudong Zhang
Huicheng Fu
Sen Lin
Shengyuan Song
Cencen Niu
Study on an AHP-Entropy-ANFIS Model for the prediction of the Unfrozen Water Content of Sodium- Bicarbonate-Type Salinization Frozen Soil
Mathematics
unfrozen water
AHP
entropy
SVM
ANFIS
saline soil
author_facet Qing Wang
Yufeng Liu
Xudong Zhang
Huicheng Fu
Sen Lin
Shengyuan Song
Cencen Niu
author_sort Qing Wang
title Study on an AHP-Entropy-ANFIS Model for the prediction of the Unfrozen Water Content of Sodium- Bicarbonate-Type Salinization Frozen Soil
title_short Study on an AHP-Entropy-ANFIS Model for the prediction of the Unfrozen Water Content of Sodium- Bicarbonate-Type Salinization Frozen Soil
title_full Study on an AHP-Entropy-ANFIS Model for the prediction of the Unfrozen Water Content of Sodium- Bicarbonate-Type Salinization Frozen Soil
title_fullStr Study on an AHP-Entropy-ANFIS Model for the prediction of the Unfrozen Water Content of Sodium- Bicarbonate-Type Salinization Frozen Soil
title_full_unstemmed Study on an AHP-Entropy-ANFIS Model for the prediction of the Unfrozen Water Content of Sodium- Bicarbonate-Type Salinization Frozen Soil
title_sort study on an ahp-entropy-anfis model for the prediction of the unfrozen water content of sodium- bicarbonate-type salinization frozen soil
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2020-07-01
description The development of agriculture and ecology, and the construction of water conservancy facilities are seriously hindered by the salinization of seasonal frozen soil. Unfrozen water exists in the freezing and thawing of frozen soil. This unfrozen water is the core and foundation for studying the process of seasonal frozen soil salinization. However, it is difficult to obtain the unfrozen water content (UW) in routine experiments, and it shows nonlinear characteristics under the action of the main factors contained: salt content, water content, and temperature. In this paper, a new model is proposed to predict the UW of saline soil based on the combined weighting method and the adaptive neuro-fuzzy inference system (ANFIS). Firstly, the distance function was used to combine the analytic hierarchy process (AHP) with the entropy weight method (the combined weighting method) to determine the importance of the influencing factors (temperature, initial water content, and salt content) on UW. On this basis, the AHP, entropy weight method, and adaptive neuro-fuzzy inference system (AHP-entropy-ANFIS) ensemble model was established. Secondly, the five-fold cross-validation method and statistical factors (coefficient of determination, mean squared error, mean absolute percent error, and mean absolute error) were applied to evaluate and compare the AHP-entropy-ANFIS ensemble model, the ANFIS model, the support vector machine (SVM) model, and the AHP, entropy weight method, and support vector machine (AHP-entropy-SVM) ensemble model. In addition, the prediction values of the four models and the experimental values were also compared. The results show that the AHP-entropy-ANFIS model had the strongest prediction capability and the best stability, and so is more suitable for predicting the UW of saline soil. This study provides useful guidance for preventing and mitigating salinization hazards in seasonally frozen areas.
topic unfrozen water
AHP
entropy
SVM
ANFIS
saline soil
url https://www.mdpi.com/2227-7390/8/8/1209
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